Two-dimensional conductors with interactions and disorder from particle-vortex duality
Abstract
Here, we study Dirac fermions in two spatial dimensions (2D) coupled to strongly fluctuating U(1) gauge fields in the presence of quenched disorder. Such systems are dual to theories of free Dirac fermions, which are vortices of the original theory. In analogy to superconductivity, when these fermionic vortices localize, the original system becomes a perfect conductor, and when the vortices possess a finite conductivity, the original fermions do as well. We provide several realizations of this principle and thereby introduce examples of strongly interacting 2D metals that evade Anderson localization.
- Authors:
-
- Univ. of Illinois at Urbana-Champaign, Urbana, IL (United States)
- Univ. of California, Riverside, CA (United States)
- Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Centro Atomico Bariloche and CONICET, Rio Negro (Argentina)
- Stanford Univ., Stanford, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1420039
- Grant/Contract Number:
- PHY-1607611; DMR-1725401; DGE-1144245; NSF PHY-1125915; AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 24; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Goldman, H., Mulligan, M., Raghu, S., Torroba, G., and Zimet, M. Two-dimensional conductors with interactions and disorder from particle-vortex duality. United States: N. p., 2017.
Web. doi:10.1103/physrevb.96.245140.
Goldman, H., Mulligan, M., Raghu, S., Torroba, G., & Zimet, M. Two-dimensional conductors with interactions and disorder from particle-vortex duality. United States. https://doi.org/10.1103/physrevb.96.245140
Goldman, H., Mulligan, M., Raghu, S., Torroba, G., and Zimet, M. Wed .
"Two-dimensional conductors with interactions and disorder from particle-vortex duality". United States. https://doi.org/10.1103/physrevb.96.245140. https://www.osti.gov/servlets/purl/1420039.
@article{osti_1420039,
title = {Two-dimensional conductors with interactions and disorder from particle-vortex duality},
author = {Goldman, H. and Mulligan, M. and Raghu, S. and Torroba, G. and Zimet, M.},
abstractNote = {Here, we study Dirac fermions in two spatial dimensions (2D) coupled to strongly fluctuating U(1) gauge fields in the presence of quenched disorder. Such systems are dual to theories of free Dirac fermions, which are vortices of the original theory. In analogy to superconductivity, when these fermionic vortices localize, the original system becomes a perfect conductor, and when the vortices possess a finite conductivity, the original fermions do as well. We provide several realizations of this principle and thereby introduce examples of strongly interacting 2D metals that evade Anderson localization.},
doi = {10.1103/physrevb.96.245140},
journal = {Physical Review. B},
number = 24,
volume = 96,
place = {United States},
year = {Wed Dec 27 00:00:00 EST 2017},
month = {Wed Dec 27 00:00:00 EST 2017}
}
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Works referenced in this record:
Is the Composite Fermion a Dirac Particle?
journal, September 2015
- Son, Dam Thanh
- Physical Review X, Vol. 5, Issue 3
Onset of superconductivity in ultrathin granular metal films
journal, July 1989
- Jaeger, H. M.; Haviland, D. B.; Orr, B. G.
- Physical Review B, Vol. 40, Issue 1
Bosonization and mirror symmetry
journal, October 2016
- Kachru, Shamit; Mulligan, Michael; Torroba, Gonzalo
- Physical Review D, Vol. 94, Issue 8
Visualizing Critical Correlations Near the Metal-Insulator Transition in Ga1-xMnxAs
journal, February 2010
- Richardella, A.; Roushan, P.; Mack, S.
- Science, Vol. 327, Issue 5966
Self-Consistent Theory of Anderson Localization: General Formalism and Applications
journal, May 2010
- Wölfle, P.; Vollhardt, D.
- International Journal of Modern Physics B, Vol. 24, Issue 12n13
Anderson transitions
journal, October 2008
- Evers, Ferdinand; Mirlin, Alexander D.
- Reviews of Modern Physics, Vol. 80, Issue 4
Integer quantum Hall transition: An alternative approach and exact results
journal, September 1994
- Ludwig, Andreas W. W.; Fisher, Matthew P. A.; Shankar, R.
- Physical Review B, Vol. 50, Issue 11
Magnetically induced metallic phase in superconducting tantalum films
journal, March 2006
- Qin, Yongguang; Vicente, Carlos L.; Yoon, Jongsoo
- Physical Review B, Vol. 73, Issue 10
Scaling Theory of Two-Dimensional Metal-Insulator Transitions
journal, July 1997
- Dobrosavljević, V.; Abrahams, Elihu; Miranda, E.
- Physical Review Letters, Vol. 79, Issue 3
Large scale physics of the quantum hall fluid
journal, October 1991
- Fröhlich, J.; Zee, A.
- Nuclear Physics B, Vol. 364, Issue 3
de Haas-van Alphen Effect and the Specific Heat of an Electron Gas
journal, September 1973
- Holstein, T.; Norton, R. E.; Pincus, P.
- Physical Review B, Vol. 8, Issue 6
Dual Dirac Liquid on the Surface of the Electron Topological Insulator
journal, November 2015
- Wang, Chong; Senthil, T.
- Physical Review X, Vol. 5, Issue 4
Superuniversality of topological quantum phase transition and global phase diagram of dirty topological systems in three dimensions
journal, February 2017
- Goswami, Pallab; Chakravarty, Sudip
- Physical Review B, Vol. 95, Issue 7
Anderson localization in a nonlinear- -model representation
journal, September 1981
- Hikami, Shinobu
- Physical Review B, Vol. 24, Issue 5
The mobility edge problem: Continuous symmetry and a conjecture
journal, September 1979
- Wegner, Franz
- Zeitschrift f�r Physik B Condensed Matter and Quanta, Vol. 35, Issue 3
Particle-hole symmetry reveals failed superconductivity in the metallic phase of two-dimensional superconducting films
journal, September 2017
- Breznay, Nicholas P.; Kapitulnik, Aharon
- Science Advances, Vol. 3, Issue 9
Two-dimensional metal-insulator transition as a strong localization induced crossover phenomenon
journal, June 2014
- Das Sarma, S.; Hwang, E. H.
- Physical Review B, Vol. 89, Issue 23
Metal–insulator transition in two-dimensional electron systems
journal, December 2003
- Kravchenko, S. V.; Sarachik, M. P.
- Reports on Progress in Physics, Vol. 67, Issue 1
Topological Term, the Global Anomaly, and the Two-Dimensional Symplectic Symmetry Class of Anderson Localization
journal, September 2007
- Ryu, Shinsei; Mudry, Christopher; Obuse, Hideaki
- Physical Review Letters, Vol. 99, Issue 11
Topological orders and edge excitations in fractional quantum Hall states
journal, October 1995
- Wen, Xiao-Gang
- Advances in Physics, Vol. 44, Issue 5
Particle-vortex duality in topological insulators and superconductors
journal, May 2017
- Murugan, Jeff; Nastase, Horatiu
- Journal of High Energy Physics, Vol. 2017, Issue 5
Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
journal, March 1979
- Abrahams, E.; Anderson, P. W.; Licciardello, D. C.
- Physical Review Letters, Vol. 42, Issue 10
Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions
journal, May 2007
- Ryu, S.; Mudry, C.; Furusaki, A.
- Physical Review B, Vol. 75, Issue 20
A classification of 2D random Dirac fermions
journal, March 2002
- Bernard, Denis; LeClair, André
- Journal of Physics A: Mathematical and General, Vol. 35, Issue 11
Critical behavior of disordered degenerate semiconductors. II. Spectrum and transport properties in mean-field theory
journal, March 1986
- Fradkin, Eduardo
- Physical Review B, Vol. 33, Issue 5
Algebraic spin liquid as the mother of many competing orders
journal, September 2005
- Hermele, Michael; Senthil, T.; Fisher, Matthew P. A.
- Physical Review B, Vol. 72, Issue 10
Mott transition in an anyon gas
journal, November 1993
- Chen, Wei; Fisher, Matthew P. A.; Wu, Yong-Shi
- Physical Review B, Vol. 48, Issue 18
Graphene via large : A renormalization group study
journal, May 2008
- Foster, Matthew S.; Aleiner, Igor L.
- Physical Review B, Vol. 77, Issue 19
Mirror symmetry in three dimensional gauge theories
journal, October 1996
- Intriligator, K.; Seiberg, N.
- Physics Letters B, Vol. 387, Issue 3
Nature of the quantum metal in a two-dimensional crystalline superconductor
journal, December 2015
- Tsen, A. W.; Hunt, B.; Kim, Y. D.
- Nature Physics, Vol. 12, Issue 3
Critical behavior of disordered degenerate semiconductors. I. Models, symmetries, and formalism
journal, March 1986
- Fradkin, Eduardo
- Physical Review B, Vol. 33, Issue 5
Comments on global symmetries, anomalies, and duality in (2 + 1)d
journal, April 2017
- Benini, Francesco; Hsin, Po-Shen; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2017, Issue 4
Metal-Insulator Transition in Disordered Two-Dimensional Electron Systems
journal, October 2005
- Punnoose, A.
- Science, Vol. 310, Issue 5746
Particle-vortex duality of two-dimensional Dirac fermion from electric-magnetic duality of three-dimensional topological insulators
journal, June 2016
- Metlitski, Max A.; Vishwanath, Ashvin
- Physical Review B, Vol. 93, Issue 24
Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System
journal, February 1980
- Hikami, S.; Larkin, A. I.; Nagaoka, Y.
- Progress of Theoretical Physics, Vol. 63, Issue 2
Interactions and scaling in a disordered two-dimensional metal
journal, July 1998
- Chakravarty, Sudip; Yin, Lan; Abrahams, Elihu
- Physical Review B, Vol. 58, Issue 2
A duality web in dimensions and condensed matter physics
journal, November 2016
- Seiberg, Nathan; Senthil, T.; Wang, Chong
- Annals of Physics, Vol. 374
A new transport regime in the quantum Hall effect
journal, May 1998
- Shahar, D.; Hilke, M.; Li, C. C.
- Solid State Communications, Vol. 107, Issue 1
Nonsupersymmetric Dualities from Mirror Symmetry
journal, January 2017
- Kachru, Shamit; Mulligan, Michael; Torroba, Gonzalo
- Physical Review Letters, Vol. 118, Issue 1
Spinless composite fermions in an ultrahigh-quality strained Ge quantum well
journal, June 2015
- Shi, Q.; Zudov, M. A.; Morrison, C.
- Physical Review B, Vol. 91, Issue 24
Typical medium theory of Anderson localization: A local order parameter approach to strong-disorder effects
journal, April 2003
- Dobrosavljević, V.; Pastor, A. A.; Nikolić, B. K.
- Europhysics Letters (EPL), Vol. 62, Issue 1
Chalker scaling, level repulsion, and conformal invariance in critically delocalized quantum matter: Disordered topological superconductors and artificial graphene
journal, April 2014
- Chou, Yang-Zhi; Foster, Matthew S.
- Physical Review B, Vol. 89, Issue 16
Interaction-driven metal-insulator transitions in disordered fermion systems
journal, July 1984
- Castellani, C.; Di Castro, C.; Lee, P. A.
- Physical Review B, Vol. 30, Issue 2
Quantum electrodynamics in 2+1 dimensions with quenched disorder: Quantum critical states with interactions and disorder
journal, June 2017
- Thomson, Alex; Sachdev, Subir
- Physical Review B, Vol. 95, Issue 23
Disorder-tuned transition between a quantum Hall liquid and Hall insulator
journal, June 1995
- Wong, L. W.; Jiang, H. W.; Trivedi, N.
- Physical Review B, Vol. 51, Issue 24
Metallic phases from disordered (2+1)-dimensional quantum electrodynamics
journal, June 2017
- Goswami, Pallab; Goldman, Hart; Raghu, S.
- Physical Review B, Vol. 95, Issue 23
Phase Transition in a Lattice Model of Superconductivity
journal, November 1981
- Dasgupta, C.; Halperin, B. I.
- Physical Review Letters, Vol. 47, Issue 21
Particle-Vortex Duality from 3D Bosonization
journal, September 2016
- Karch, Andreas; Tong, David
- Physical Review X, Vol. 6, Issue 3
Electron Spectral Function and Algebraic Spin Liquid for the Normal State of Underdoped High Superconductors
journal, April 2001
- Rantner, Walter; Wen, Xiao-Gang
- Physical Review Letters, Vol. 86, Issue 17
Electrons in disordered systems. Scaling near the mobility edge
journal, December 1976
- Wegner, Franz J.
- Zeitschrift f�r Physik B Condensed Matter and Quanta, Vol. 25, Issue 4
Global phase diagram in the quantum Hall effect
journal, July 1992
- Kivelson, Steven; Lee, Dung-Hai; Zhang, Shou-Cheng
- Physical Review B, Vol. 46, Issue 4
Metallic phase and metal-insulator transition in two-dimensional electronic systems
journal, April 1998
- Castellani, C.; Di Castro, C.; Lee, P. A.
- Physical Review B, Vol. 57, Issue 16
Mandelstam-'t Hooft duality in abelian lattice models
journal, July 1978
- Peskin, Michael E.
- Annals of Physics, Vol. 113, Issue 1
Transitions between the quantum Hall states and insulators induced by periodic potentials
journal, March 1993
- Wen, Xiao-Gang; Wu, Yong-Shi
- Physical Review Letters, Vol. 70, Issue 10
On mirror symmetry in three dimensional Abelian gauge theories
journal, April 1999
- Kapustin, Anton; Strassler, Matthew J.
- Journal of High Energy Physics, Vol. 1999, Issue 04
Scaling of an anomalous metal-insulator transition in a two-dimensional system in silicon at B =0
journal, March 1995
- Kravchenko, S. V.; Mason, Whitney E.; Bowker, G. E.
- Physical Review B, Vol. 51, Issue 11
Universality and phase diagram around half-filled Landau levels
journal, December 1996
- Wong, L. W.; Jiang, H. W.; Schaff, W. J.
- Physical Review B, Vol. 54, Issue 24
Nonzero-temperature transport near quantum critical points
journal, October 1997
- Damle, Kedar; Sachdev, Subir
- Physical Review B, Vol. 56, Issue 14
Perfect metal phases of one-dimensional and anisotropic higher-dimensional systems
journal, December 2014
- Plamadeala, Eugeniu; Mulligan, Michael; Nayak, Chetan
- Physical Review B, Vol. 90, Issue 24
Three-dimensional theories at large distances
journal, October 1981
- Appelquist, Thomas; Heinz, Ulrich
- Physical Review D, Vol. 24, Issue 8
Interaction Effects in Disordered Fermi Systems in Two Dimensions
journal, May 1980
- Altshuler, B. L.; Aronov, A. G.; Lee, P. A.
- Physical Review Letters, Vol. 44, Issue 19
Universal conductance in the lowest Landau level
journal, January 1993
- Huo, Y.; Hetzel, R. E.; Bhatt, R. N.
- Physical Review Letters, Vol. 70, Issue 4
Observation of Quantum Dissipation in the Vortex State of a Highly Disordered Superconducting Thin Film
journal, February 1996
- Ephron, D.; Yazdani, A.; Kapitulnik, A.
- Physical Review Letters, Vol. 76, Issue 9
Dissipation Effects on the Superconductor-Insulator Transition in 2D Superconductors
journal, June 1999
- Mason, N.; Kapitulnik, A.
- Physical Review Letters, Vol. 82, Issue 26
Symmetry and Duality in Bosonization of Two-Dimensional Dirac Fermions
journal, October 2017
- Mross, David F.; Alicea, Jason; Motrunich, Olexei I.
- Physical Review X, Vol. 7, Issue 4
Metal-Insulator Transition in Disordered Two-Dimensional Electron Systems
journal, October 2005
- Punnoose, A.
- Science, Vol. 310, Issue 5746
Graphene via large N I: Renormalization
text, January 2008
- Foster, Matthew S.; Aleiner, Igor L.
- arXiv
Particle-vortex duality in topological insulators and superconductors
text, January 2016
- Murugan, Jeff; Nastase, Horatiu
- arXiv
Nonsupersymmetric dualities from mirror symmetry
text, January 2016
- Kachru, Shamit; Mulligan, Michael; Torroba, Gonzalo
- arXiv
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- Journal of High Energy Physics, Vol. 2018, Issue 8
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journal, September 2019
- Goldman, Hart; Sohal, Ramanjit; Fradkin, Eduardo
- Physical Review B, Vol. 100, Issue 11
Loop models, modular invariance, and three-dimensional bosonization
journal, May 2018
- Goldman, Hart; Fradkin, Eduardo
- Physical Review B, Vol. 97, Issue 19