Topological invariants for the Haldane phase of interacting SSH chains -- a functional RG approach

Abstract

We present a functional renormalization group approach to interacting topological Green function invariants with a focus on the nature of transitions. The method is applied to chiral symmetric fermion chains in the Mott limit that can be driven into a Haldane phase. We explicitly show that the transition to this phase is accompanied by a zero of the fermion Green function. Our results for the phase boundary are quantitatively benchmarked against DMRG data.

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• Quasiparticle excitations in a one-dimensional interacting topological insulator: Application for dopant-based quantum simulation
• Topological phases of the interacting Su-Schrieffer-Heeger model: An analytical study
• Corroborating the bulk-edge correspondence in weakly interacting 1D topological insulators
• Topological quantum interference in a pumped Su-Schrieffer-Heeger lattice
• Review of recent developments of the functional renormalization group for systems out of equilibrium
• Revealing the topological nature of the bond order wave in a strongly correlated quantum system
• Persistent Haldane Phase in Carbon Tetris Chains