# Michael Stone

Professor

## Primary Research Area

- Condensed Matter Physics

## Biography

Professor Michael Stone Professor Stone received his Ph.D. from the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge in 1976. He joined the Department of Physics at the University of Illinois as an assistant professor in 1981. He served as the Deputy Director for the Institute of Theoretical Physics at the University of California, Santa Barbara from 1992 until 1994. He serves on the editorial boards of the *International Journal of Modern Physics B*, *Modern Physics Letters B*, and *Physical Review Letters*. He was the divisional associate editor for *Physical Review Letters* from 1997 until 1999.

The main focus of Professor Stone's current research is the dynamics of vortices in superfluids and superconductors. He has resolved a decades-long puzzle about the fundamental mechanism of dissipation in superconductors by clarifying the motion of Abrikosov vortices under the influence of a Magnus force. Previously, he explored and clarified the extent to which topological constraints impose "anomalous" behavior on physical systems, such as superfluid liquid helium, and has linked such behavior to the Berry's phase. He has also greatly extended the range of models to which bosonization can be applied and has successfully extracted implications for physical systems. In addition, he has explored the "edge wave" states observed in experiments on the quantum Hall effect and has clarified their nature by linking them to one-dimensional chiral field theories. Professor Stone's contributions have been characterized by a combination of sophisticated mathematical formalism and deep physical insight.

## Research Statement

**Applications of Field Theory to Condensed Matter Physics **

This program is aimed at advancing the theoretical understanding of a variety of condensed matter systems, each involving many strongly coupled degrees of freedom. Attention is primarily focused on the following areas: electronic liquid crystal phases in Mott insulators; the quantum Hall effect; geometric phases and their condensed matter implications; superfluids and superconductors, including vortex motion in dirty systems, quantum critical behavior of magnetic impurities in -wave superconductors; vulcanized matter and the vulcanization transition; structural glasses and network-forming systems, glassiness of superfluid helium-three in aerogel, shapes adopted by large biological macromolecules, and static and dynamic properties of polysoap macromolecules.

## Research Honors

- Fellow, Institute of Physics (UK) (2011)
- Fellow, American Physical Society (2009)

## Semesters Ranked Excellent Teacher by Students

Semester | Course | Outstanding |
---|---|---|

Spring 2014 | PHYS 211 |

## Selected Articles in Journals

- V. Dwivedi, M. Stone. Classical chiral kinetic theory and anomalies in even space-time dimensions, J. Phys. A 47, 025401 (2014).
- K. Roberts, R. Budakian, M Stone. Numerical study of the stability regions for half-quantum vortices in superconducting Sr2RuO4, Phys. Rev. B 88, 094503-7 (2013)
- M. Stone, V. Dwivedi. Classical version of the non-Abelian gauge anomaly, Phys. Rev. D 88, 045012-8 (2013).
- M. Stone. An Analogue of Hawking Radiation in the Quantum Hall effect, Class, Quantum Grav. 30, 085003-1-14 (2013)
- M. Stone. Gravitational anomalies and thermal Hall effect in topological insulators, Phys. Rev. B 85, 184503-1-10 (2012).
- Y. Liu, A. Roy, and M. Stone. A Non-Abelian Berry transport, spin coherent states and Majorana points, J. Phys. A 45, 135304-1-20 (2012).
- M. Stone, C.-K. Chiu, and A. Roy. Symmetries, dimensions and topological insulators: the mechanism behind the face of the Bott clock. J. Physics A 44, 045001 (2011).
- M. Stone and Y. Lin, Josephson currents in quantum Hall devices. Phys. Rev. B 83, 224501 (2011).
- M. Stone, C-K Chiu, and A Roy. Symmetries, dimensions and topological insulators: the mechanism behind the face of the Bott clock. J. Phys. A 44, 045001 (2011).
- A. Roy and M. Stone. Fullerenes, zero-modes and self-adjoint extensions. J. Phys. A 43, 015203 (2010).