Journal article
Corroborating the bulk-edge correspondence in weakly interacting one-dimensional topological insulators
Physical review. B, Vol.100(7), p.1
08/07/2019
DOI: 10.1103/PhysRevB.100.075114
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 the 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.
Details
- Title: Subtitle
- Corroborating the bulk-edge correspondence in weakly interacting one-dimensional topological insulators
- Creators
- Antonio Zegarra - Pontifícia Universidade Católica do Rio de JaneiroDenis R. Candido - University of IowaJ. Carlos Egues - Universidade de São PauloWei Chen - Pontifícia Universidade Católica do Rio de Janeiro
- Resource Type
- Journal article
- Publication Details
- Physical review. B, Vol.100(7), p.1
- DOI
- 10.1103/PhysRevB.100.075114
- ISSN
- 2469-9950
- eISSN
- 2469-9969
- Publisher
- Amer Physical Soc
- Number of pages
- 7
- Grant note
- PRP/USP (QNANO) CNPq; Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ) PUC-Rio 2016/08468-0 / Sao Paulo Research Foundation (FAPESP); Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP)
- Language
- English
- Date published
- 08/07/2019
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984428819902771
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