Oct 6 – 10, 2025
EIMI
Europe/Moscow timezone

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

Oct 6, 2025, 3:30 PM
30m
Main hall

Main hall

Session talk Section A: Mathematical methods in QFT Section A: Mathematical methods in QFT

Speaker

Ivan Terekhov (ITMO University)

Description

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.

Authors

Prof. Alexandr Milstein (Budker Institute of Nuclear Physics of SB RAS) Ivan Terekhov (ITMO University)

Presentation materials