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Regensburg 2022 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 20: Topology: Poster Session

TT 20.5: Poster

Mittwoch, 7. September 2022, 15:00–18:00, P1

Entanglement spectrum of Su-Schrieffer-Heeger model — •Mahsa Alsadat Seyed Heydari1 and Jahanfar Abouei21University of Konstanz, Germany — 2Institute for Advanced Studies in Basic Sciences ( IASBS), Iran

We investigate the ground state properties of a one dimensional topological insulator, the Su-Schrieffer-Heeger (SSH) chain in the absence/presence of an alternative spin-orbit coupling (SOC), employing single-particle entanglement spectrum (ES). In the presence of SOC, owing to the spin-flip processes, different topologically trivial and non-trivial phases appear in the ground state phase diagram of the model. Using the matrix of single-particle correlation functions, we obtain the single-particle ES as well as the entanglement entropy, and show that they behave differently in these phases. We introduce an indicator, called entanglement gap, defined as the difference between the lowest positive entanglement level and the highest negative level, and demonstrate that this indicator distinguishes the topological phases from the trivial phase of the model.

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