Emergence of Topological Non-Fermi Liquid Phases in a Modified Su-Schrieffer-Heeger Chain with Long-Range Interactions

Abstract

In this study, we investigate the emergence of a topological non-Fermi liquid (NFL) phase in a modified Su-Schrieffer-Heeger (SSH) chain model subjected to long-range interactions characterized by the Hatsugai-Kohmoto (HK) model. While Fermi liquid theory has been instrumental in understanding low temperature properties of metals, it fails to account for the complex behaviors exhibited by strongly correlated systems, where interactions lead to emergent phenomena such as non-Fermi liquid behavior. Our analysis reveals that the SSH-HK model supports a rich ground state phase diagram, exhibiting distinct NFL phases marked by many body Zak phases of $2\pi$ and $0$, corresponding to topological and trivial NFL states, respectively. We demonstrate that the topological NFL state manifests unique electronic polarization characteristics akin to those in the non-interacting SSH model. Through exact diagonalization of the interacting SSH-HK Hamiltonian, we explore the spectral functions and density of states, revealing significant departures from traditional quasiparticle behavior in various particle number sectors. Our findings extend the understanding of topological non-Fermi liquids and their potential implications for high-temperature superconductivity and other correlated electron systems, highlighting the intricate interplay between topology and strong electron correlations.

arXiv comment14 pages, 29 figures

References in corpus (27)

• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Comments on the Sachdev-Ye-Kitaev model
• A Common Thread: the pairing interaction for the unconventional superconductors
• Singular Fermi Liquids
• Topological phases of generalized Su-Schrieffer-Heeger models
• Non-Fermi liquid and topological states with strong spin-orbit coupling
• Non-Fermi-liquid behavior and d-wave superconductivity near the charge-density-wave quantum critical point
• An introduction to the SYK model
• Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
• Formation of a topological non-Fermi liquid in MnSi
• Exact Superconducting Instability in a Doped Mott Insulator
• Topological phases of a dimerized Fermi-Hubbard model for semiconductor nano-lattices
• Phase Diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice
• Unraveling of the fractional topological phase in one-dimensional flatbands with nontrivial topology
• Topological and non-topological features of generalized Su-Schrieffer-Heeger models
• Robustness of Antiferromagnetism in the Su-Schrieffer-Heeger-Hubbard model
• Chiral topological phases and fractional domain wall excitations in one-dimensional chains and wires
• Zeeman-field-induced nontrivial topological phases in a one-dimensional spin-orbit-coupled dimerized lattice
• Topological phases, topological flat bands, and topological excitations in a one-dimensional dimerized lattice with spin-orbit coupling
• Solvable Periodic Anderson Model with Infinite-Range Hatsugai-Kohmoto Interaction: Ground-states and beyond
• Exactly solvable model of Fermi arcs and pseudogap
• Thermodynamics of an Exactly Solvable Model for Superconductivity in a Doped Mott Insulator
• Two-stage superconductivity in the Hatsugai-Kohmoto-BCS model
• Theory of electron spin resonance in one-dimensional topological insulators with spin-orbit couplings
• Topological $s$-wave superconductors driven by electron correlation
• Attractive Su-Schrieffer-Heeger-Hubbard Model on a Square Lattice Away from Half-Filling
• Topological phases of the interacting Su-Schrieffer-Heeger model: An analytical study