It is said that temperature of a body is the average of the kinetic energies of all the molecules in the body. But then, why do we consider temperature a different physical quantity altogether as [K] and not a derivative of the initially proposed 3 fundamental quantities, length [L], mass[M], and time [T] as with the same dimensional formula as energy? What is the reason behind such a consideration?

Professor Taylor Hughes received his bachelorâ€™s degrees in physics and mathematics from the University of Florida in 2003, graduating summa cum laude. He subsequently worked as a software engineer for a year as a department of defense contractor. He went on to obtain a Ph.D. from Stanford University in 2009, working in the condensed matter theory group of Professor Shou-Cheng Zhang. His research covered a broad range of subjects from spintronics, to graphene/graphite, to topological insulators. His two primary research contributions as a graduate student are the collaborations which predicted of the existence of a quantum spin Hall state in HgTe/CdTe quantum wells, and secondly constructed the topological response theory of 3D time-reversal invariant topological insulators.

Professor Hughes then moved to the University of Illinois at Urbana-Champaign as a postdoc under Professor Eduardo Fradkin. During these two years he began developing methods to characterize states of matter using quantum entanglement, most notably, disordered fermionic systems and topological insulator/ordered systems. Additionally he began working on the theory of the topological visco-elastic response in topological insulators.

Professor Hughes joined the faculty at the University of Illinois in the Fall of 2011.

Professor Hughes then moved to the University of Illinois at Urbana-Champaign as a postdoc under Professor Eduardo Fradkin. During these two years he began developing methods to characterize states of matter using quantum entanglement, most notably, disordered fermionic systems and topological insulator/ordered systems. Additionally he began working on the theory of the topological visco-elastic response in topological insulators.

Professor Hughes joined the faculty at the University of Illinois in the Fall of 2011.

1. Topological insulators/Superconductors

2. Using quantum information/entanglement techniques to characterize quantum condensed matter systems.

3. Mesoscopic transport in low-dimensional materials or heterostructures

Other interests include topological order, quantum Hall effect, spin-orbit coupled electronic systems, connections between high-energy physics, gravity, and condensed matter.

Some of my recent work has been on connections between torsion, gravity, and viscosity in topological insulators, characterizing disordered topological insulators using the entanglement spectrum, and transport calculations in graphene/superconductor junctions.

Interested students should contact me via email and be willing to work on a broad range of topics. Before contacting me please look at some of my selected publications below, or on the arxiv to get an idea of which subjects are of the most interest to you.

I have several opportunities for research projects/reading courses for undergraduates who are highly-motivated and can program or proficiently use either Matlab, Mathematica, or C/C++/FORTRAN.

- Disclination Classes, Fractional Excitations, and the Melting of Quantum Liquid Crystals, Sarang Gopalakrishnan, Jeffrey C. Y. Teo, and Taylor L. Hughes, Phys. Rev. Lett. 111, 025304 (2013).
- Torsional Anomalies, Hall Viscosity, and Bulk-boundary Correspondence in Topological States, Taylor L. Hughes, Robert G. Leigh, and Onkar Parrikar, Phys. Rev. D 88, 025040 (2013).
- Majorana Fermions and Disclinations in Topological Crystalline Superconductors Jeffrey C.Y. Teo and Taylor L. Hughes, Phys. Rev. Lett., 111, 047006 (2013).
- Effective Field Theories for Topological Insulators by Functional Bosonization AtMa Chan, Taylor L. Hughes, Shinsei Ryu, and Eduardo Fradkin, Phys. Rev. B 87, 085132 (2013).
- Characterizing disordered fermion systems using the momentum-space entanglement spectrum Ian Mondragon-Shem, Mayukh Khan, and Taylor L. Hughes, Phys. Rev. Lett., 110, 046806 (2013).
- Majorana Fermions Inch Closer to Reality, Taylor L. Hughes, Physics 4, 67(2011)
- Torsional Response and Dissipationless Viscosity in Topological Insulators, Taylor L. Hughes, Robert G. Leigh, and Eduardo Fradkin, Phys. Rev. Lett. 107,075502 (2011).
- Transport through Andreev bound states in a graphene quantum dot, Travis Dirks, Taylor L. Hughes, Siddhartha Lal, Bruno Uchoa, Yung-Fu Chen, Cesar Chialvo, Paul M. Goldbart, Nadya Mason, Nature Physics 7, 386-390 (2011).
- Inversion Symmetric Topological Insulators Taylor L. Hughes, Emil Prodan, and B. Andrei Bernevig, Phys. Rev. B 83, 245132(2011).
- Chiral Topological Superconductor From the Quantum Hall State Xiao-Liang Qi, Taylor L. Hughes, Shou-Cheng Zhang Phys. Rev. B 82, 184516 (2010)
- Entanglement Spectrum of a Disordered Topological Chern Insulator Emil Prodan, Taylor L. Hughes, and B. Andrei Bernevig, Phys. Rev. Lett. 105, 115501 (2010)
- Topological invariants for the Fermi surface of a time-reversal-invariant superconductor Xiao-Liang Qi, Taylor L. Hughes, and Shou-Cheng Zhang, Phys. Rev. B 81, 134508 (2010)
- Observation of a one-dimensional spinorbit gap in a quantum wire C. H. L. Quay, Taylor L. Hughes, J. A. Sulpizio, L. N. Pfeier, K. W. Baldwin, K. W. West, D. Goldhaber-Gordon, and R. de Picciotto, Nat. Phys 6, 336-339 (2010).
- Time-Reversal-Invariant Topological Superconductors and Superfluids in Two and Three Dimensions Xiao-Liang Qi, Taylor L. Hughes, Srinivas Raghu, Shou-Cheng Zhang, Phys. Rev. Lett. 102, 187001 (2009).
- Topological Field Theory of Time-Reversal Invariant Insulators Xiao-Liang Qi, Taylor L. Hughes, Shou-Cheng Zhang, Phys. Rev. B 78, 195424 (2008).
- Quantum Spin Hall Effect in Inverted Type II Semiconductors Chaoxing Liu, Taylor L. Hughes, Xiao-Liang Qi, Kang Wang, Shou-Cheng Zhang, Phys. Rev. Lett., 100, 236601 (2008).
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells B. Andrei Bernevig, Taylor L. Hughes, Shou-Cheng Zhang, Science, 314, 1757-1761 (2006).

**Office**

2115 Engineering Sciences Building

**Phone**

217.333.1195

**Email**

hughest@illinois.edu

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