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Corroborating the bulk-edge correspondence in weakly interacting 1D topological insulators
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Corroborating the bulk-edge correspondence in weakly interacting 1D topological insulators

Antonio Zegarra, Denis R Candido, J. Carlos Egues and Wei Chen
ArXiv.org
05/07/2019
DOI: 10.48550/arxiv.1905.02583
url
https://doi.org/10.48550/arxiv.1905.02583View
Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We present a Green's function formalism to investigate the topological properties of weakly interacting one-dimensional topological insulators, including the bulk-edge correspondence and the quantum criticality near topological phase transitions, and using interacting Su-Schrieffer-Heeger model as an example. From the many-body spectral function, we find that closing of the bulk gap remains a defining feature even if the topological phase transition is driven by interactions. The existence of edge state in the presence of interactions can be captured by means of a T-matrix formalism combined with Dyson's equation, and the bulk-edge correspondence is shown to be satisfied even in the presence of interactions. The critical exponent of the edge state decay length is shown to be affiliated with the same universality class as the noninteracting limit.
 Physics - Strongly Correlated Electrons

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