Disordered topological metals

Abstract

Topological behavior can be masked when disorder is present. A topological insulator, either intrinsic or interaction induced, may turn gapless when sufficiently disordered. Nevertheless, the metallic phase that emerges once a topological gap closes retains several topological characteristics. By considering the self-consistent disorder-averaged Green function of a topological insulator, we derive the condition for gaplessness. We show that the edge states survive in the gapless phase as edge resonances and that, similar to a doped topological insulator, the disordered topological metal also has a finite, but non-quantized topological index. We then consider the disordered Mott topological insulator. We show that within mean-field theory, the disordered Mott topological insulator admits a phase where the symmetry-breaking order parameter remains non-zero but the gap is closed, in complete analogy to 'gapless superconductivity' due to magnetic disorder.

10 pages, 7 figures

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Cited by in corpus (10)

• Local invariants identify topology in metals and gapless systems
• Phonon-induced topological insulation
• Do the surface Fermi arcs in Weyl semimetals survive disorder?
• From Andreev bound states to Majorana fermions in topological wires on superconducting substrates : a story of mutation
• Anomalous Hall metals from strong disorder in class A systems on partite lattices
• Superconducting proximity effect in topological metals
• Impact of magnetic dopants on magnetic and topological phases in magnetic topological insulators
• Transport through a disordered topological-metal strip
• Numerical Study of Disorder on the Orbital Magnetization in Two Dimensions
• Pumping conductance, the intrinsic anomalous Hall effect, and statistics of topological invariants