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

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

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 …