Discrete spectrum of edge states in a two-dimensional topological insulator
Mesoscale and Nanoscale Physics
2025-03-25 v1
Abstract
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.
Cite
@article{arxiv.2503.18390,
title = {Discrete spectrum of edge states in a two-dimensional topological insulator},
author = {A. I. Milstein and I. S. Terekhov},
journal= {arXiv preprint arXiv:2503.18390},
year = {2025}
}
Comments
12 pages, 1 figure