An exactly solvable 1D model with infinite-range Hatsugai-Kohmoto interactions realizes a topological phase with a size-independent inversion eigenvalue -1 and an odd quantized charge pump, impossible in local models.
The Weyl-Mott point: topological and non-Fermi liquid behavior from an isolated Green's function zero
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abstract
We present a model in which a Hatsugai-Kohmoto interaction is added to a system of fermions with a Weyl point in their non-interacting dispersion relation, and analyze its behavior as a function of the chemical potential. We show that the model exhibits a Weyl-Mott point -- a single isolated Green's function zero -- and that this implies an emergent non-Fermi-liquid state at the border of the metallic regime and a gapped topological state for the insulating one. The Weyl-Mott point inherits the topological charge from the original Green's function pole, and is therefore naturally associated with a strongly correlated chiral anomaly.
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Interacting Electronic Topology of Nonlocal Crystals
An exactly solvable 1D model with infinite-range Hatsugai-Kohmoto interactions realizes a topological phase with a size-independent inversion eigenvalue -1 and an odd quantized charge pump, impossible in local models.