Two-dimensional conductors with interactions and disorder from particle-vortex duality

Abstract

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 new examples of strongly interacting 2D metals that evade Anderson localization.

20 pages, 2 appendices

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• Landau-Ginzburg Theories of Non-Abelian Quantum Hall States from Non-Abelian Bosonization
• Interaction-induced metallicity in a two-dimensional disordered non-Fermi liquid
• Collusion of Interactions and Disorder at the Superfluid-Insulator Transition: A Dirty 2d Quantum Critical Point
• Random-mass disorder in the critical Gross-Neveu-Yukawa models
• Interaction effects on quantum Hall transitions: dynamical scaling laws and superuniversality
• Quantum Phases of a Weakly Disordered Josephson Ladder
• Gauge field fluctuation corrected QED3 effective action by fermionic particle-vortex duality