Two-dimensional conductors with interactions and disorder from particle-vortex duality
arXiv:1709.07005 · doi:10.1103/PhysRevB.96.245140
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
References in corpus (12)
- Anderson Transitions
- A Duality Web in 2+1 Dimensions and Condensed Matter Physics
- Metal-insulator transition in two-dimensional electron systems
- Algebraic spin liquid as the mother of many competing orders
- Graphene via large N I: Renormalization
- Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions
- Z2 topological term, the global anomaly, and the two-dimensional symplectic symmetry class of Anderson localization
- Magnetically Induced Metallic Phase in Superconducting Tantalum Films
- Bosonization and Mirror Symmetry
- Nonsupersymmetric dualities from mirror symmetry
- Particle-hole symmetry reveals failed superconductivity in the metallic phase of two-dimensional superconducting films
- Perfect Metal Phases of One-Dimensional and Anisotropic Higher-Dimensional Systems