How do scientists decide whether an element particle has mass or not? How do they measure the mass and with what kind of equipment do they achieve that?

Professor Eduardo Fradkin received his Licenciado (master's) degree in physics from Universidad de Buenos Aires (Argentina) and his PhD in physics from Stanford University in 1979. He came to the University of Illinois in 1979 as a postdoctoral research associate, and became an assistant professor of physics at Illinois in 1981. He was promoted to associate professor in 1984, and became a full professor in 1989. Professor Fradkin is an internationally recognized leader in theoretical physics, who has contributed to many problems at the interface between quantum field theory (QFT) and condensed matter physics (CMP).

In his early work, he pioneered the use of concepts from CMP and statistical physics, such as order parameters and phase diagrams, to problems of QFT and high energy physics, in particular to the non-perturbative behavior of gauge theories. Perhaps his most important result in this area was the proof that when matter fields carry the fundamental unit of charge, the Higgs and confinement phases of gauge theories are smoothly connected to each other and are as different as a liquid is from a gas. This result remains one of the cornerstones of our understanding of the phases of gauge theories and represents a lasting contribution to elementary particle physics.

Professor Fradkin's unique perspective has allowed him to invoke and apply results from QFT to CMP. He was one of the first theorists to use gauge theory concepts in the theory of spin glasses and to use concepts of chaos and non-linear systems in equilibrium statistical mechanics of frustrated systems. Professor Fradkin has pioneered the application of QFT methods to the physics of correlated disordered electronic systems and the quantum stability of the spontaneously dimerized state of polyacetylene.

Professor Fradkin also pioneered the use of Dirac fermions for CMP problems, particularly in two space dimensions. A prime example is his work on Dirac fermions on random fields (which he began with former graduate student Dr. Matthew Fisher), which is now regarded as the universality class of the transition between quantum Hall plateaus in the integer Hall effect. This work is also important for the description of quasiparticles in disordered d-wave superconductors. He also applied, quite early on, these ideas to the physics of what nowadays are known as topological insulators, showing that in the presence of lattice topological defects, these systems exhibit a non-trivial electronic spectrum with a parity anomaly.

A major achievement of Professor Fradkin's recent research has been the development, in collaboration with former graduate student Dr. Ana Lopez, of the fermion Chern-Simons field theory of the fractional quantum Hall effect. This theory has played a central role in the current research effort in this exciting problem in CMP. Professor Fradkin and his collaborators have extended this theory to the more challenging problem of the non-Abelian quantum hall states and developed a theory of a non-Abelian interferometer to study the unusual properties of the vortices of these quantum fluids.

More recently Professor Fradkin and his collaborators introduced the notion of electronic liquid crystal states, which are phases of quantum fermionic strongly correlated systems exhibiting properties akin to those of classical complex fluids. These ideas play a crucial role in the current understanding of the pesudogap regime of high temperature superconductors.

Professor Fradkin is an internationally recognized leader in theoretical physics, who has contributed to many problems at the interface between quantum field theory (QFT) and condensed matter physics (CMP). He pioneered the use of concepts from CMP and statistical physics, such as order parameters and phase diagrams, to problems of QFT and high energy physics. Perhaps his most important result in this area was the proof that when matter fields carry the fundamental unit of charge, the Higgs and confinement phases of gauge theories are smoothly connected to each other and are as different as a liquid is from a gas. This result remains one of the cornerstones of our understanding of the phases of gauge theories and represents a lasting contribution to elementary particle physics. Professor Fradkin's unique perspective has allowed him to invoke and apply results from QFT to CMP. He was one of the first theorists to use gauge theory concepts in the theory of spin glasses and to use concepts of chaos and non-linear systems in equilibrium statistical mechanics of frustrated systems.

Professor Fradkin has pioneered the application of QFT methods to the physics of correlated disordered electronic systems and the quantum stability of the spontaneously dimerized state of polyacetylene. Professor Fradkin also pioneered the use of Dirac fermions for CMP problems, particularly in two space dimensions. A prime example is his work on Dirac fermions on random fields, which is now regarded as the universality class of the transition between quantum Hall plateaus in the integer Hall effect. This work is also important for the description of quasiparticles in disordered d-wave superconductors. A major achievement of Professor Fradkin's recent research has been the development of the fermion Chern-Simons field theory of the fractional quantum Hall effect. This theory has played a central role in the current research effort in this exciting problem in CMP. He has recently developed a theory of electronic liquid crystal phases in strongly correlated systems and formulated a mechanism of high temperature superconductivity based on this new concept. This theory plays a central role in the interpretation of experiments in these systems of foremost importance. He is also a leader in the theory of topological phases in condensed matter and on the role of quantum entanglement at quantum critical points.

**Fall 2000:**PHYS 498 (*outstanding*)

- E. H. Fradkin. Field Theories of Condensed Physics. Cambridge University Press. (2013).
- E. H. Fradkin. Field Theories of Condensed Matter Systems. (Addison-Wesley Advanced Book Program: Redwood City). Frontiers in Physics Series (1991).
- Xiao Chen, Gil Young Cho, Thomas Faulkner, and Eduardo Fradkin. Scaling of entanglement in 2+1-dimensional scale-invariant field theories. Journal of Statistical Mechanics, 2015, P02010 (2015).
- Andrey Gromov, Gil Young Cho, Yizhi You, Alexander G. Abanov, and Eduardo Fradkin. Framing Anomaly in the Effective Theory of the Fractional Quantum Hall Effect. Physical Review Letters 114, 016805(2015). (Editor's Suggestion)
- Yizhi You, Gil Young Cho and Eduardo Fradkin. Theory of the Nematic Fractional Quantum Hall State. Physical Review X 4, 041050 (2014).
- Gil Young Cho, Rodrigo Soto-Garrido and Eduardo Fradkin. Topological Pair-Density-Wave Superconducting States. Physical Review Letters 113, 256405 (2014).
- Krishna Kumar, Kai Sun, and Eduardo Fradkin. Chern-Simons theory for magnetization plateaus of the spin-1/2 XXZ quantum Heisenberg model on the kagome lattice. Physical Review B 90, 174409 (2014).
- Gil Young Cho, Yizhi You and Eduardo Fradkin. Geometry of fractional quantum Hall Fluids. Physical Review B 90, 115139 (2014).
- Rodrigo Soto Garrido and Eduardo Fradkin. Pair-Density-Wave Superconducting States and Electronic Liquid Crystal Phases. Physical Review B 89, 165126 (2014).
- Eduardo Fradkin, Enrique F. Moreno and Fidel A. Schaposnik. Bosonization of fermions coupled to topologically massive gravity. Physics Letters B 730, 284 (2014).
- Stefanos Papanikolaou, Daniel Charrier, and Eduardo Fradkin. Ising nematic fluid phase of hard-core dimers on the square lattice. Physical Review B 89, 035128 (2014).
- Yizhi You and Eduardo Fradkin. Field theory of nematicity in the spontaneous quantum anomalous Hall effect. Physical Review B 88, 235124 (2013). (Editor's Suggestion)
- Xiao Chen and Eduardo Fradkin. Quantum entanglement and thermal reduced density matrices in fermion and spin systems on ladders. J. Stat. Mech. (2013) P08013
- Hugo Aita, Liliana Arrachea, Carlos NaĆ³n, and Eduardo Fradkin, Heat transport through quantum Hall edge states: Tunneling versus capacitive couplings to reservoirs. Physical Review B 88, 085122 (2013).
- Ariel Dobry, Akbar Jaefari, and Eduardo Fradkin, Inhomogeneous superconducting phases in the frustrated Kondo-Heisenberg chain, Physical Review B 87, 245102 (2013)
- AtMa Chan, Taylor L. Hughes, Shinsei Ryu, and Eduardo Fradkin. Effective field theories for topological insulators by functional bosonization. Phys. Rev. B 87, 085132 (2013).
- Benjamin Hsu and Eduardo Fradkin. Dynamical stability of the quantum Lifshitz theory in 2+1 Dimensions. Phys. Rev. B 87, 085102 (2013).
- Eduardo Fradkin and Steven A. Kivelson. High-temperature superconductivity: Ineluctable complexity. Nature Physics 8, 864 (2012).
- Xiao Chen, Benjamin Hsu, Taylor Hughes and Eduardo Fradkin, The Renyi Entropy and the Multifractal Spectrum of Systems Near the Localization Transition. Phys. Rev. B 86, 134201 (2012).
- B. Uchoa, J. P Reed, Y. Gan, Y. I. Joe, E. Fradkin, P. Abbamonte, and D. Casa. The electron many-body problem in graphene. Physica Scripta T 2012, 014014 (2012).
- A. Jaefari and E. Fradkin. Pair-density-wave superconducting order in two-leg ladders. Phys. Rev. B 85, 035104 (2012).
- L. Arrachea and E. Fradkin. Chiral heat transport in driven quantum Hall and quantum spin Hall edge states. Phys. Rev. B 84, 235436 (2011).
- D. G. Barci and E. Fradkin. Role of nematic fluctuations in the thermal melting of pair-density-wave phases in two-dimensional superconductors. Phys. Rev. B 83, 100509(R) (2011).
- D. Schuricht, F. H. L. Essler, A. Jaefari, and E. Fradkin. Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states. Phys. Rev. B 83, 035111 (2011).
- M. Kim, X. M. Chen, Y. I. Joe, E. Fradkin, P. Abbamonte, and S. L. Cooper. Mapping the magnetostructural quantum phases of Mn3O4. Phys. Rev. Lett. 104, 136402 (2010).
- A. Jaefari, S. Lal, and E. Fradkin. Charge-density wave and superconductor competition in stripe phases of high-temperature superconductors. Phys. Rev. B 82, 144531 (2010).
- E. Berg, E. Fradkin, and S. A. Kivelson. Pair-density-wave correlations in the Kondo-Heisenberg model. Phys. Rev. Lett. 105, 146403 (2010).
- B. Fregoso and E. Fradkin. Unconventional magnetism in imbalanced Fermi systems with magnetic dipolar interactions. Phys. Rev. B 81, 214443 (2010).
- E. Fradkin and S. A. Kivelson. Electron nematic phases proliferate. Science 327:5962 155-156 (2010).
- T. L. Hughes, R. G. Leigh, and E. Fradkin. Torsional response and dissipationless viscosity in topological insulators. Phys. Rev. Lett. 107, 075502 (2011).
- J. P. Reed, B. Uchoa, Y. I. Joe, Y. Gan, D. Casa, E. Fradkin, and P. Abbamonte. The effective fine structure constant of freestanding graphene measured in graphite. Science 330, 805-808 (2010).
- B. Hsu and E. Fradkin. Universal behavior of entanglement in 2D quantum critical Models. J. of Stat. Mech.: Theo. and Exp. P09004 (2010).
- E. Fradkin, S. A. Kivelson, M. J. Lawler, J. P. Eisenstein, and A. P. Mackenzie. Nematic Fermi fluids in Condensed Matter Physics. Annual Reviews of Cond. Matter Phys. 1, 153 (2010).
- B. M. Fregoso and E. Fradkin. Unconventional magnetism in imbalanced Fermi systems with magnetic dipolar interactions. Phys. Rev. B 81, 214443 (2010).
- D. S. Caplan, V. Orlyanchik, M. B. Weissman, D. J. Van Harlingen, E. H. Fradkin, M. J. Hinton, and T. R. Lemberger. Anomalous noise in the pseudogapregime of YBa_2Cu_3O_{7-delta}. Phys. Rev. Lett. 104, 177001 (2010).
- S. A. Kivelson and E. Fradkin. Fluctuation diamagnetism in high temperature superconductors. Viewpoint invited article. Phys. 3, 15 (2010).
- M. Kim, X. Chen, Y.-I. Joe, E. Fradkin, P. Abbamonte and S. L. Cooper. Mapping the magneto-structural quantum phases of Mn
_{3}O_{4}. Phys. Rev. Lett. 104, 136402 (2010). - E. Fradkin and S. A. Kivelson. Electron nematics proliferate. "Perspectives" invited article, Science 327, 155 (2010).
- B. Hsu, E. Grosfeld, and E. Fradkin. Quantum noise and entanglement generated by a local quantum quench. Phys. Rev. B 80, 235412 (2009). (Editor's Suggestion)
- B. M. Fregoso and E. Fradkin. Ferro-nematic ground state of the dilute dipolar Fermi gas. Phys. Rev. Lett. 103, 205301 (2009).
- E. Fradkin. Scaling of entanglement entropy at 2D quantum Lifshitz fixed points and topological fluids. J. of Phys. A 42, 504011 (2009). (Special issue on Entanglement Entropy: P. Calabrese, J. Cardy, and B. Doyon, editors)
- E. Berg, E. Fradkin, and S. A. Kivelson. Charge 4e superconductivity from pair density wave order in certain high temperature superconductors. Nature Physics 5, 830-833 (2009).
- E. Berg, E. Fradkin, S. A. Kivelson and J. M. Tranquada. Striped superconducting order: How the cuprtaes intertwine spin, charge, and superconducting orders. New J. of Phys. 11, 115004 (2009).
- B. M. Fregoso, K. Sun, E. Fradkin, and B. L. Lev. Biaxial nematic phases in ultracold dipolar Fermi gases. New J. of Phys. 11, 103003 (2009).
- K. Sun, H. Yao, E. Fradkin, and S. A. Kivelson. Topological insulators and nematic phases from spontaneous symmetry breaking in 2D Fermi systems with a quadratic band vrossing. Phys. Rev. Lett. 103, 046811 (2009).
- B. Hsu, M.l Mulligan, E. Fradkin, and E.-A. Kim. Universal entanglement entropy in two-dimensional conformal quantum critical points. Phys. Rev. B 79, 115421 (2009).
- E. Berg, E. Fradkin, and S. A. Kivelson. Theory of the striped superconductor. Phys. Rev. B 79, 064515 (2009). (Editor's Suggestion)
- K. Sun and E. Fradkin. Time reversal symmetry breaking and spontaneous anomalous Hall effect in Fermi fluids. Phys. Rev. B 78, 245122 (2008).
- H. Barath, M. Kim, S. L. Cooper, P. Abbamonte, E. Fradkin, I. Mahns, M. Rubhausen, N. Aliouane, and D. N. Argyriou, Domain fluctuations near the field-induced incommensurate-commensurate phase transition of TbMnO3. Phys. Rev. B 78, 134407 (2008).
- K. Sun, B. M. Fregoso and E. Fradkin. Fluctuating stripes in strongly correlated electron systems and the nematic-smectic quantum phase transition. Phys. Rev. B. 78, 085124 (2008).
- D. Schuricht, F. Essler, A. Jaefari, and E. Fradkin. Local density of states of 1D Mott insulators and CDW states with a boundary. Phys. Rev. Lett. 101, 086403 (2008).
- E.-A. Kim, M. J. Lawler, P. Oreto, S. Sachdev, E. Fradkin, and S. A. Kivelson. Theory of the nodal nematic quantum phase transition in superconductors. Phys. Rev. B 77, 184514 (2008).
- M. Kim, H. Barath, S. L. Cooper, P. Abbamonte, E. Fradkin, M. Rubhausen, C. L. Zhang, and S.-W. Cheong. Raman scattering studies of temperature- and field-induced melting of charge order in (La,Pr,Ca)MnO3. Phys. Rev. B 77, 134411 (2008).
- S. Dong, E. Fradkin, R. G. Leigh, and S. Nowling, Topological entanglement entropy in Chern-Simons theories and quantum Hall fluids. J. of High Energy Phys. 2008 (5),016 (2008).
- E. Fradkin. Quantum physics: Debut of the quarter electron (News & Views article in Nature). Nature 452, 822-823 (2008).
- H. Barath, M. Kim, J. F. Karpus, S. L. Cooper, P. Abbamonte, E. Fradkin, E. Morosan, and R. J. Cava, Quantum and classical mode softening near the charge-density-wave/superconductor transition of Cu_x Ti Se_2: Raman spectroscopic studies. Phys. Rev. Lett. 100, 106402 (2008).
- S. Papanikolaou, R. M. Fernandes, E. Fradkin, P. W. Phillips, J. Schmalian, and R. Sknepnek. Universality of liquid-gas Mott transitions at finite temperatures. Phys. Rev. Lett. 100, 026408 (2008).
- S. Papanikolaou, K. S. Raman, and E. Fradkin. Topological phases and topological entropy of two-dimensional systems with finite correlation length. Phys. Rev. B 76, 224421(2007).
- E. Berg, E. Fradkin, E.-A. Kim, S. Kivelson, V. Oganesyan, J. M. Tranquada, and S. Zhang. Dynamical layer decoupling in a stripe-ordered high T
_{c}superconductor. Phys. Rev. Lett. 99, 127003 (2007). - S. Papanikolaou, E. Luijten, and E. Fradkin. Quantum criticality, lines of fixed points, and phase separation in doped two-dimensional quantum dimer models}. Phys. Rev. B 76, 134514 (2007).
- C. Chamon, E. Fradkin, and A. Lopez. Fractional statistics and duality: strong coupling behavior of edge states of quantum Hall liquids in the Jain sequence. Phys. Rev. Lett. 98, 176801 (2007).
- E. Fradkin, S. A. Kivelson, and V. Oganesyan. Discovery of a nematic electron fluid in a transition metal oxide. Invited paper published in "Perspectives in Science", Science 315, 196 (2007).
- S. Papanikolaou, K. S. Raman, and E. Fradkin. Devil's staircases, quantum dimer models and stripe formation in strong coupling models of quantum frustration. Phys. Rev. B 75, 094406 (2007).
- C. Wu, K. Sun, E. Fradkin, and S. Zhang. Fermi liquid instabilities in the spin channel. Phys. Rev. B 75, 115103 (2007).
- M. Lawler and E. Fradkin. Local quantum criticality in the nematic quantum phase transition of a Fermi fluid. Phys. Rev. B 75, 033304 (2007).
- E. Fradkin and J. E. Moore. Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum. Phys. Rev. Lett. 97, 050404-1-4 (2006).
- E.-A. Kim, M. Lawler, S. Vishveshwara, and Eduardo Fradkin. Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments. Phys. Rev. B 74, 155324-1-23 (2006).
- J. Robertson, S. A. Kivelson, A. Kapitulnik, and E. Fradkin. Distinguishing patterns of charge order; Stripes or checkerboards. Phys. Rev. B 74, 134507 (2006).
- A. H. Castro Neto, P. Pujol, and E. H. Fradkin. Ice: a strongly correlated proton system. Phys. Rev. B 74, 024302-1-12 (2006).
- E. Carlson, K. A. Dahmen, E. H. Fradkin, and S. Kivelson. Hysteresis and noise from electronic nematicity in high temperature superconductors. Phys. Rev. Lett. 96, 097003-1-4 (2006).
- M. Lawler, D. Barci, V. Fernandez, E. H. Fradkin, and L. Oxman. Non-perturbative behavior of the quantum phase transition to a nematic Fermi fluid. Phys. Rev. B 73, 085101-1-19 (2006).
- E.-A. Kim, M. Lawler, S. Vishveshwara, and E. H. Fradkin. Signatures of fractional statistics in noise experiments in quantum Hall fluids. Phys. Rev. Lett. 95, 176402-1-4 (2005).
- P. Fendley and E. H. Fradkin. Realizing non-Abelian statistics in time-reversal-invariant systems. Phys. Rev. B 72, 024412-1-8 (2005).
- S. E. Brown, E. H. Fradkin, and S. A. Kivelson. Surface pinning of fluctuating charge order: an extraordinary surface phase transition. Phys. Rev. B 71, 224512-1-8 (2005).
- Z. Nussinov and E. H. Fradkin. Discrete sliding symmetries, dualities, and self-dualities of quantum orbital compass models and
*p+ip*superconducting arrays. Phys. Rev. B 71, 195120-1-9 (2005). - I. Yang, W. Kang, K. W. Baldwin, L. N. Pfeiffer, K. W. West, E. A. Kim, and E. Fradkin. Quantum Hall line junction with impurities as a multislit Luttinger liquid interferometer. Phys. Rev. B 71, 113312-1-4 (2005).
- E.-A. Kim, S. Vishveshwara, and E. H. Fradkin. Cooper-pair tunneling in junctions of singlet quantum Hall states and superconductors. Phys. Rev. Lett. 93, 266803-1-4 (2004).
- M. J. Lawler and E. H. Fradkin. Quantum Hall smectics, sliding symmetry, and the renormalization group. Phys. Rev. B 70, 165310-1-7 (2004).
- E. H. Fradkin, D. A. Huse, R. Moessner, V. Oganesyan, and S. L. Sondhi. Bipartite Rokhsar-Kivelson points and cantor deconfinement. Phys. Rev. B 69, 224415-1-8 (2004).
- E. Arrigoni, E. H. Fradkin, and S. A. Kivelson. Mechanism of high-temperature superconductivity in a striped Hubbard model. Phys. Rev. B 69, 214519-1-8 (2004).
- A. Lopez and E. H. Fradkin. Fermion Chern-Simons theory of hierarchical fractional quantum Hall states. Phys. Rev. B 69, 155322-1-10 (2004).
- S. A. Kivelson, E. H. Fradkin, and T. H. Geballe. Quasi-one-dimensional dynamics and Nematic phases in the two-dimensional Emery model. Phys. Rev. B 69, 144505-1-7 (2004).
- E. Ardonne, P. Fendley, and E. H. Fradkin. Topological order and conformal quantum critical points. Ann. of Phys. 310, 493-551 (2004).
- S. A. Kivelson, I. P. Bindloss, E. Fradkin, V. Oganesyan, J. Tranquada, A. Kapitulnik, and C. Howald. How to detect fluctuating stripes in the high-temperature superconductors. Rev. Mod. Phys. 75, 1201-1241 (2003).
- E. A. Kim and E. H. Fradkin. Double point contact in quantum Hall line junctions. Phys. Rev. Lett. 91, 156801-1-4 (2003).
- C. J. Wu, L. W. Vincent, and E. H. Fradkin. Competing orders in coupled Luttinger liquids. Phys. Rev. B 68, 115104-1-16 (2003).
- E. A. Kim and E. H. Fradkin. Interedge tunneling in quantum Hall line junctions. Phys. Rev. B 67, 045317-1-17 (2003).
- S. A. Kivelson, D. H. Lee, E. H. Fradkin, and V. Oganesyan. Competing order in the mixed state of high-temperature superconductors. Phys. Rev. B 66, 144516-1-8 (2002).
- D. G. Barci, E. H. Fradkin, S. A. Kivelson, and V. Oganesyan. Theory of the quantum Hall smectic phase. I. Low-energy properties of the quantum Hall smectic fixed point. Phys. Rev. B 65, 245319-1-14 (2002).
- R. Moessner, S. L. Sondhi, and E. H. Fradkin. Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories. Phys. Rev. B 65, 024504-1-16 (2001).
- E. H. Fradkin, V. Jejjala, and R. G. Leigh. Non-commutative Chern-Simons for the quantum Hall system and duality. Nucl. Phys. B 642, 483-500 (2002).
- M. Granath, V. Oganesyan, S. A. Kivelson, E. H. Fradkin, and V. J. Emery. Nodal quasiparticles in stripe ordered superconductors. Phys. Rev. Lett. 87, 167011-1-4 (2001).
- W. V. Liu and E. H. Fradkin. Antiferromagnetic spin ladders effectively coupled by one-dimensional electron liquids. Phys. Rev. Lett. 86, 1865-1868 (2001).
- V. Oganesyan, S. A. Kivelson, and E. H. Fradkin. Quantum theory of a nematic Fermi fluid. Phys. Rev. B 64, 195109-1-6 (2001).
- N. P. Sandler and E. H. Fradkin. Fractional quantum Hall junctions and two-channel Kondo models. Phys. Rev. B 63, 235301-1-11 (2001).
- A. Lopez and E. H. Fradkin. Bulk effective actions and edge states for quantum Hall states in bilayers. Phys. Rev. B 63, 085306-1-26 (2001).
- A. Lopez and E. H. Fradkin. Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems. Phys. Rev. B 63, 085306-1-26 (2001).
- E. H. Fradkin, M. Huerta, and G. R. Zemba. Effective Chern-Simons theories of pfaffian and parafermionic quantum Hall states, and orbifold conformal field theories. Nucl. Phys. B 601, 591 (2001).
- V. J. Emery, E. H. Fradkin, S. A. Kivelson, and T. C. Lubensky. Quantum theory of the smectic metal state in stripe phases. Phys. Rev. Lett. 85, 2160-2163 (2000).
- E. H. Fradkin, S. A. Kivelson, E. Manousakis, and K. Nho. Nematic phase of the two-dimensional electron gas in a magnetic field. Phys. Rev. Lett. 84, 1982-1985 (2000).
- D. C. Cabra, E. H. Fradkin, G. L. Rossini, and F. A. Schaposnik. Non-Abelian fractional quantum Hall states and chiral coset conformal field theories. Intl. J. Mod. Phys. B 115, 4857-4870 (2000).
- E. H. Fradkin and S. A. Kivelson. Liquid-crystal phases of quantum Hall systems. Phys. Rev. B 59, 8065-8072 (1999).
- A. Lopez and E. H. Fradkin. Universal structure of the edge states of the fractional quantum Hall states. Phys. Rev. B 59, 15323-15331 (1999).
- N. P. Sandler, C. Chamon, and E. H. Fradkin. Noise measurements and fractional charge in fractional quantum Hall liquids. Phys. Rev. B 59, 12521-12536 (1999).
- C. D. Fosco, E. H. Fradkin, and A. Lopez. Dynamical domain wall defects in 2+1 dimensions. Phys. Lett. B 451, 31-37 (1999).
- E. H. Fradkin, C. Nayak, and K. Schoutens. Landau-Ginzburg theories for non-Abelian quantum Hall states. Nucl. Phys. B 546, 711-730 (1999).
- N. P. Sandler, C. C. C. Chamon, and E. H. Fradkin. Andreev reflection in the fractional quantum Hall effect. Phys. Rev. B 57, 12324-12332 (1998).
- E. H. Fradkin, C. Nayak, A. Tsvelik, and F. Wilczek. A Chern-Simons effective field theory for the Pfaffian quantum Hall State. Nucl. Phys. B 516, 704-718 (1998).
- S. A. Kivelson, E. H. Fradkin, and V. J. Emery. Electronic liquid-crystal phases of a doped Mott insulator. Nature 393, 550-553 (1998).
- C. R. Cassanello and E. H. Fradkin. Overscreening of magnetic impurities in dx2-y2 wave superconductors. Phys. Rev. B 56, 246-261 (1997).
- C. Chamon and E. H. Fradkin. Distinct universal conductances in tunneling to quantum Hall states: The role of contacts. Phys. Rev. B 56, 2012-2025 (1997).
- H. E. Castillo, C. Chamon, E. H. Fradkin, P. M. Goldbart, and C. Mudry. Exact calculation of multifractal exponents of the critical wave function of Dirac fermions in a random magnetic field. Phys. Rev. B 56, 10668-10677 (1997).
- A. Lopez, M. Fuentes, and E. H. Fradkin. Interacting electrons on a half time coupled to impurities. Nucl. Phys. B 501, 745-772 (1997).
- E. H. Fradkin. Superconductivity's cousin. Nature 387, 18-19 (1997).
- C. R. Cassanello and E. H. Fradkin. Bilayers of chiral spin states. Phys. Rev. B 53, 8708-8725 (1996).
- M. Fuentes, A. Lopez, and E. H. Fradkin. Exact effective action for fermions in one dimension with backscattering at a boundary. Phys. Rev. B 53, 16568-16572 (1996).
- C. R. Cassanello and E. H. Fradkin. Kondo effect in flux phases. Phys. Rev. B 53, 15079-15094 (1996).
- D. Cabra, E. H. Fradkin, G. L. Rossini, and F. A. Schaposnik. Gauge invariance and finite temperature effective actions of Chern-Simons gauge theories with fermions. Phys. Lett. B 383, 434-438 (1996).
- E. H. Fradkin and S. Kivelson. Modular invariance, self-duality and the phase transition between quantum Hall plateaus. Nucl. Phys. B 474, 543-574 (1996).
- A. Lopez and E. H. Fradkin. Fermionic Chern-Simons theory for the fractional quantum Hall effect in bilayers. Phys. Rev. B 51, 4347-4368 (1995).
- A. H. Castro Neto and E. H. Fradkin. Exact solution of the Landau fixed point via bosonization. Phys. Rev. B 51, 4084-4104 (1995).
- M. Fuentes, A. Lopez, E. H. Fradkin, and E. Moreno. Bosonization rules in 1/2 + 1 dimensions. Nucl. Phys. B 450, 603-640 (1995).
- N. Bralic', E. H. Fradkin, V. Manias, and F. A. Schaposnik. Bosonization of three-dimensional non-Abelian fermion field theories. Nucl. Phys. B 446, 144-156 (1995).
- A. H. Castro Neto and E. H. Fradkin. Bosonization of the low energy excitations of Fermi liquids. Phys. Rev. Lett. 72, 1393-1397 (1994).
- C. Mudry and E. H. Fradkin. Mechanism of spin and charge separation in one-dimensional quantum antiferromagnets. Phys. Rev. B 50, 11409-11428 (1994).
- C. Mudry and E. H. Fradkin. Separation of spin and charge quantum numbers in strongly correlated systems. Phys. Rev. B 49, 5200-5219 (1994).
- A. Lopez, A. G. Rojo, and E. H. Fradkin. Chern-Simons theory of the anisotropic quantum Heisenberg antiferromagnet on a square lattice. Phys. Rev. B 49, 15139-15158 (1994).
- A. H. Castro Neto and E. H. Fradkin. Bosonization of Fermi liquids. Phys. Rev. B 49, 10877-10892 (1994).
- E. H. Fradkin and F. A. Schaposnik. The fermion-boson mapping in three-dimensional quantum field theory. Phys. Lett. B 338, 253-258 (1994).
- A. Lopez and E. H. Fradkin. Response functions and spectrum of collective excitations of fractional-quantum-Hall effect systems. Phys. Rev. B 47, 7080-7094 (1993).
- E. H. Fradkin. Wave functionals for field theories and path integrals. Nucl. Phys. B B389, 587-600 (1993).
- A. H. Castro Neto and E. H. Fradkin. The thermodynamics of quantum systems and generalizations of Zamolodchikov's C-theorem. Nucl. Phys. B 400, 525-546 (1993).
- E. H. Fradkin, E. F. Moreno, and F. A. Schaposnik. Ground-state wave functionals for (1 + 1)-dimensional fermion field theories. Nucl. Phys. B 392, 667-699 (1993).
- A. Lopez and E. H. Fradkin. Universal properties of the wave functions of fractional quantum Hall systems. Phys. Rev. Lett. 69, 2126-2129 (1992).
- E. H. Fradkin, E. Moreno, and F. Schaposnik. Equivalence of the path-integral theory of spinning particles and the topological nonlinear s model in
*d*=2 dimensions. Phys. Rev. D 45, 595-604 (1992). - E. H. Fradkin and F. A. Schaposnik. Chern-Simons gauge theories, confinement and the chiral spin liquid. Phys. Rev. Lett. 66, 276-279 (1991).
- A. Balatsky and E. H. Fradkin. Singlet quantum Hall effect and Chern-Simons theories. Phys. Rev. B 43, 10,622-10,634 (1991).
- J. W. Cannon, R. T. Scalettar, and E. H. Fradkin. Ground-state phase diagram of the one-dimensional extended Hubbard model. Phys. Rev. B 44, 5995-6001 (1991).
- A. Lopez and E. Fradkin. The fractional quantum Hall effect and Chern-Simons gauge theories. Phys. Rev. B 44, 5246 (1991).
- D. Withoff and E. H. Fradkin. Phase transitions in gapless Fermi systems with magnetic impurities. Phys. Rev. Lett. 64, 1835-1838 (1990).
- J. W. Cannon and E. H. Fradkin. The phase diagram of the extended Hubbard model in one spatial dimension. Phys. Rev. D 41, 9435-9443 (1990).
- X. G. Wen, E. Dagotto, and E. H. Fradkin. Anyons on a torus. Phys. Rev. B 42, 6110 (1990).
- E. H. Fradkin. Superfluidity of the lattice anyon gas and topological invariance. Phys. Rev. B 42, 570-586 (1990).
- E. H. Fradkin, C. von Reichenbach, and F. A. Schaposnik. Conformal properties of the Kondo models. Nucl. Phys. B 430, 692-702 (1990).
- E. H. Fradkin and S. Kivelson. Short range resonating valence bond theories and superconductivity. Mod. Phys. Lett B [Rapid Commun. in High T
_{c}Superconductivity] 4, 225-232 (1990). - C. Mudry and E. H. Fradkin. Ground states of infinite-range spin-1/2 quantum Heisenberg antiferromagnets. Phys. Rev. B 40, 11177-11184 (1989).
- E. H. Fradkin. Jordan-Wigner transformation for quantum-spin systems in two dimensions and fractional statistics. Phys. Rev. Lett. 63, 322-325 (1989).
- L. F. Cugliandolo, E. H. Fradkin, and F. A. Schaposnik. Zero modes on the lattice: The vortex fermion system. Phys. Lett. B 224, 407-411 (1989).
- E. H. Fradkin, C. von Reichenbach, and F. A. Schaposnik. Bosonization of the Kondo problem. Nucl. Phys. B 316, 710-734 (1989).
- E. Dagotto, E. H. Fradkin, and A. Moreo. SU(2) gauge invariance and order parameters in strongly coupled electronic systems. Phys. Rev B [Rapid Comm.] 38, 2926-2929 (1988).
- E. H. Fradkin and M. Stone. Topological terms in one and two-dimensional quantum Heisenberg antiferromagnets. Phys. Rev. B 38, 7215-7218 (1988).
- E. H. Fradkin, C. M. Naón, and F. A. Schaposnik. The complete bosonization of two-dimensional QCD in the path-integral framework. Phys. Rev. D 36, 3809-3812 (1987).
- F. Nori, Q. Niu, E. H. Fradkin, and S.-J. Chang. Superconducting-normal phase boundary of quasicrystalline arrays in a magnetic field. Phys. Rev. B 36, 8338-8342 (1987).
- A. Singh and E. H. Fradkin. Localization and correlation effects in itinerant ferromagnets. Phys. Rev. B 35, 6894-6901 (1987).
- E. H. Fradkin and M. Kohmoto. Quantized Hall effect and geometric localization of electrons on lattices. Phys. Rev. B 35, 6017-6023 (1987).
- E. H. Fradkin, C. M. Naón, and F. A. Schaposnik. Constrained Fermi systems and Virasorgo algebras. Phys. Lett. B 200, 95-97 (1987).
- D. Boyanovsky, E. Dagotto, and E. H. Fradkin. Anomalous currents, induced charge and bound states on a domain wall of a semiconductor. Nucl. Phys. B 285, 340-362 (1987).
- E. H. Fradkin, E. Dagotto, and D. Boyanovsky. Physical realization of the parity anomaly in condensed matter physics. Phys. Rev. Lett. 57, 2967-2970 (1986).
- M. Ma and E. H. Fradkin. Superconductivity and localization in the presence of strong spin-orbit scattering. Phys. Rev. Lett. 56, 1416-1418 (1986).
- D. Withoff and E. H. Fradkin. Magnetization of the Coqblin-Schrieffer model in the large-n limit at non-zero field. Phys. Rev. B 34, 8172-8175 (1986).
- P. M. Goldbart, O. Martin, and E. H. Fradkin. Gauge invariant spin glasses. Phys. Rev. B 34, 301-305 (1986).
- E. H. Fradkin. Critical behavior of disordered degenerate semiconductors. II: Spectrum and transport properties in mean field theory. Phys. Rev. B 33, 3263-3268 (1986).
- E. H. Fradkin. Critical behavior of disordered degenerate semiconductors. I: Models, symmetries and formalism. Phys. Rev. B 33, 3257-3262 (1986).
- E. Dagotto, E. H. Fradkin, and A. Moreo. A comment on the Nielsen-Ninomiya theorem. Phys. Lett. B 172, 383-386 (1986).
- M. P. A. Fisher and E. H. Fradkin. Localization in a magnetic field: Tight binding model with one-half of a flux quantum per plaquette. Nucl. Phys. B 251, 457-471 (1985).
- E. H. Fradkin. N-color Ashkin-Teller model in two dimensions: Solution in the large-N limit. Phys. Rev. Lett. 53, 1967-1970 (1984).
- E. H. Fradkin. The roughening transition in quantum interfaces. Phys. Rev. B 28, 5338-5341 (1983).
- M. Ma and E. H. Fradkin. Localization and interactions in a disordered electron gas. Phys. Rev. B 28, 2990-3006 (1983).
- J. E. Hirsch and E. H. Fradkin. Phase diagram of one-dimensional electron-phonon systems. II. The molecular-crystal model. Phys. Rev. B 27, 4302-4316 (1983).
- E. H. Fradkin and J. E. Hirsch. Phase diagram of one-dimensional electron-phonon systems I: The Su-Schrieffer-Heeger model. Phys. Rev. B 27, 1680-1697 (1983).
- E. H. Fradkin, O. Hernandez, B. A. Huberman, and R. Pandit. Periodic incommensurate and chaotic states in a continuum statistical mechanical model. Nucl. Phys. B 215, 137-168 (1983).
- J. E. Hirsch and E. H. Fradkin. Effects of quantum fluctuations on the Peierls instability: A Monte Carlo study. Phys. Rev. Lett. 49, 402-405 (1982).
- G. Forgacs and E. H. Fradkin. Anisotropy and marginality in the two-dimensional fully frustrated Ising model. Phys. Rev. B 23, 3442-3447 (1981).
- E. H. Fradkin, M. Srednicki, and L. Susskind. Fermion representation for the Z
_{2}lattice gauge theory in 2 + 1 dimensions. Phys. Rev. D 21, 2885-2891 (1980). - E. H. Fradkin and L. P. Kadanoff. Disorder variables and para-fermions in two-dimensional statistical mechanics. Nucl. Phys. B 170, 1-15 (1980).
- E. H. Fradkin and S. Shenker. Phase diagram of Lattice gauge theories with Higgs fields. Lattice Gauge Theories, 1979 (The Physical Society of Japan)) Phys. Rev. D 19, 3682-3697 (1980).
- E. H. Fradkin and S. Raby. Real space renormalization-group scheme for spin and gauge systems. Phys. Rev. D 20, 2566-2582 (1979).
- E. H. Fradkin and L. Susskind. Order and disorder in gauge systems and magnets. Phys. Rev. D 17, 2637-2658 (1978).
- E. H. Fradkin, B. A. Huberman, and S. H. Shenker. Gauge symmetries in random magnetic systems. Phys. Rev. B 18, 4789-4812 (1978).
- E. H. Fradkin and T. P. Eggarter. Ising models with several phase transitions. Phys. Rev. A 14, 495-499 (1976).
- Eduardo Fradkin, "Electronic Liquid Crystal Phases in Strongly Correlated Systems", in Proceedings of the Les Houches Summer School on "Modern theories of correlated electron systems", Les Houches, Haute Savoie, France (May 2009), Daniel C. Cabra, Andreas Honecker, and Pierre Pujol, editors, Lecture Notes in Physics 843, Springer-Verlag Berlin Heidelberg (2012).

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