Topological phases of the interacting Su-Schrieffer-Heeger model: An analytical study

Abstract

The interacting SSH model provides an ideal ground to study the interplay between topologically insulating phases and electron-electron interactions. We study the polarization density as a topological invariant and provide an analytic treatment of its behavior in the low-energy sector of the one-dimensional interacting SSH model. By formulating the topological invariant in terms of Green's functions, we use the low-energy field theory of the Thirring model to derive the behavior of the polarization density. We show that the polarization density in the continuum theory describes the usual topological insulating phases. Still, it contains an extra factor from the fields' scaling dimensions in the low-energy quantum field theory. We interpret this as a measure of the modified charge of the new excitations in the system. We find two distinct contributions: a renormalization of the electronic charge $e$ of a Fermi liquid because of quasiparticle smearing and an additional contribution coming from the topological charge of the soliton arising in the bosonized version of the Thirring model, the sine-Gordon model.

arXiv comment18 pages, 6 figures to be submitted to PRB. Comments are welcome

References in corpus (30)

• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Topological Insulators in Three Dimensions
• Classification of topological quantum matter with symmetries
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
• Topological quantum chemistry
• One-Dimensional Fermi liquids
• Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Interacting topological insulators: a review
• Single particle Green's functions and interacting topological insulators
• Interplay between long range hopping and disorder in topological systems
• Topological invariants and interacting one-dimensional fermionic systems
• Topological phases: Classification of topological insulators and superconductors of non-interacting Fermions, and beyond
• Boundary Fidelity and Entanglement in the symmetry protected topological phase of the SSH model
• Form factors of soliton-creating operators in the sine-Gordon model
• Mott insulators with boundary zeros
• Multihole edge states in Su-Schrieffer-Heeger chains with interactions
• Weakly Interacting Topological Insulators: Quantum Criticality and Renormalization Group Approach
• Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
• Topological invariants for the Haldane phase of interacting SSH chains -- a functional RG approach
• Topological marker approach to an interacting Su-Schrieffer-Heeger model
• Phase diagram of an interacting staggered Su-Schrieffer-Heeger two-chain ladder close to a quantum critical point
• Topological inheritance in half-SSH Hubbard models
• Variational study of the interacting spinless Su-Schrieffer-Heeger model
• Anomalous dielectric response in insulators with the pi Zak phase
• Bosonization of the interacting Su-Schrieffer-Heeger model
• Field Theoretical Study of Disorder in Non-Hermitian Topological Models
• Weakly interacting one-dimensional topological insulators: a bosonization approach

Cited by in corpus (3)

• Emergence of Topological Non-Fermi Liquid Phases in a Modified Su-Schrieffer-Heeger Chain with Long-Range Interactions
• Topological Phase Diagram of Generalized SSH Models with Interactions
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation