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Beyond Band Insulators: Topology of Semi-metals and Interacting Phases
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The theory of topological insulators and superconductors has mostly focused on non-interacting and gapped systems. This review article discusses topological phases that are either gapless or interacting. We discuss recent progress in identifying gapless systems with stable topological properties (such as novel surface states), using Weyl semimetals as an illustration. We then review recent progress in describing topological phases of interacting gapped systems. We explain how new types of edge states can be stabilized by interactions and symmetry, even though the bulk has only conventional excitations and no topological order of the kind associated with Fractional Quantum Hall states.
Forward citations
Cited by 2 Pith papers
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Stability of zero energy Dirac touchings in the honeycomb Hofstadter problem
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In the interacting non-Hermitian SSH model the real-space topological marker remains robust while non-Hermiticity amplifies staggered charge correlations near exceptional points under open boundary conditions.
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