Topological number and Fermion Green's function of Strongly Interacting Topological Superconductors

Abstract

It has been understood that short range interactions can reduce the classification of topological superconductors in all dimensions. In this paper we demonstrate by explicit calculations that when the topological phase transition between two distinct phases in the noninteracting limit is gapped out by interaction, the bulk fermion Green's function $G(i\omega )$ at the "transition" approaches zero as $G(i\omega )\sim \omega$ at certain momentum $\vec{k}$ in the Brillouin zone.

5 pages, 1 figure

References in corpus (3)

• Simplified topological invariants for interacting insulators
• Topological invariants and interacting one-dimensional fermionic systems
• Strongly Correlated Topological Superconductors and Topological Phase Transitions via Green's Function

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• Edge zeros and boundary spinons in topological Mott insulators
• Topological Green's function zeros in an exactly solved model and beyond
• Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals
• Towards a Topological Quantum Chemistry description of correlated systems: the case of the Hubbard diamond chain
• Phase Transition of Topological Index driven by Dephasing