Discrete spectrum of edge states in a two-dimensional topological insulator

A. I. Milstein; I. S. Terekhov

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Discrete spectrum of edge states in a two-dimensional topological insulator

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arxiv 2503.18390 v1 pith:4AWDTH6T submitted 2025-03-24 cond-mat.mes-hall

Discrete spectrum of edge states in a two-dimensional topological insulator

A. I. Milstein , I. S. Terekhov This is my paper

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keywords equationbethe-salpeterdiscreteedgeelectronsfermiinsulatorodinger

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The interaction model of two electrons in the edge states of a two-dimensional topological insulator is investigated. Both solutions of the Schr\"odinger equation and solutions of the Bethe-Salpeter equation at different values of the Fermi energy are considered. It is shown that for the Bethe-Salpeter equation, which takes into account the existence of the Fermi surface, there is a discrete spectrum in the system of two electrons. This phenomenon does not appear in the case of the Schr\"odinger equation.

Discrete spectrum of edge states in a two-dimensional topological insulator

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