Electronic properties, correlated topology and Green's function zeros

Abstract

There is extensive current interest about electronic topology in correlated settings. In strongly correlated systems, contours of Green's function zeros may develop in frequency-momentum space, and their role in correlated topology has increasingly been recognized. However, whether and how the zeros contribute to electronic properties is a matter of uncertainty. Here we address the issue in an exactly solvable model for Mott insulator. We show that the Green's function zeros contribute to several physically measurable correlation functions, in a way that does not run into inconsistencies. In particular, the physical properties remain robust to chemical potential variations up to the Mott gap as it should be based on general considerations. Our work sets the stage for further understandings on the rich interplay among topology, symmetry and strong correlations.

17 pages, 4 figures

References in corpus (8)

• Building Blocks of Topological Quantum Chemistry: Elementary Band Representations
• Simplified topological invariants for interacting insulators
• U(1) Slave-spin theory and its application to Mott transition in a multi-orbital model for iron pnictides
• Absence of Luttinger's Theorem due to Zeros in the Single-Particle Green Function
• Breakdown of Luttinger's theorem in two-orbital Mott insulators
• Topological interpretation of Luttinger theorem
• Connecting the Many-Body Chern Number to Luttinger's Theorem through Středa's Formula
• Superconductivity from Luttinger surfaces: Emergent $\infty$-body SYK physics

Cited by in corpus (16)

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• Edge zeros and boundary spinons in topological Mott insulators
• Fermi and Luttinger arcs: two concepts, realized on one surface
• Topological Green's function zeros in an exactly solved model and beyond
• Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid
• The Weyl-Mott point: topological and non-Fermi liquid behavior from an isolated Green's function zero
• Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator
• Quasiparticle picture of topological phase transitions induced by interactions
• Probing Green's Function Zeros by Co-tunneling through Mott Insulators
• Quantum Restored Symmetry Protected Topological Phases
• Topological charge excitations and Green's function zeros in paramagnetic Mott insulators
• Real-Space Switching of Local Moments Driven by Quantum Geometry in Correlated Graphene Heterostructures
• Impurity-induced Mott ring states and Mott zeros ring states in the Hubbard operator formalism
• The Luttinger Count is the Homotopy not the Physical Charge: Generalized Anomalies Characterize Non-Fermi Liquids
• Quantized and nonquantized Hall response in topological Hatsugai-Kohmoto systems