Exactly solvable model of Fermi arcs and pseudogap

Abstract

We introduce a very simple and exactly solvable model that supports Fermi arcs in its ground state and excitation spectrum. These arcs come in pairs, and merge into what we call a pseudo Fermi surface along which fermions are gapped; this fermion gap is naturally identified as a pseudogap. Comparison will be made with phenomenology of high temperature cuprate superconductors.

arXiv commentPublished version

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• Fermi and Luttinger arcs: two concepts, realized on one surface
• Friedel oscillation in non-Fermi liquid: Lesson from exactly solvable Hatsugai-Kohmoto model
• Quantum oscillations in a doped Mott insulator beyond Onsager's relation
• Real-space analysis of Hatsugai-Kohmoto interaction
• Studying the holographic Fermi surface in the scalar induced anisotropic background
• Exact solution of two simple non-equilibrium electron-phonon and electron-electron coupled systems: the atomic limit of the Holstein-Hubbard model and the generalized Hatsugai-Komoto model
• Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid
• A Simple Solvable Model for Heavy Fermion Superconductivity from the Two-Fluid Normal State
• Non-Fermi liquid behavior in a simple model of Fermi arcs and pseudogap
• Emergence of Topological Non-Fermi Liquid Phases in a Modified Su-Schrieffer-Heeger Chain with Long-Range Interactions
• Notes on Quantum oscillation for Hatsugai-Kohmoto model
• Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator
• Dilute magnetic moments in an exactly solvable interacting host
• Evolution of holographic Fermi surface from non-minimal couplings