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Discrete spectrum of edge states in a two-dimensional topological insulator. / Milstein, A. I.; Terekhov, I. S.

In: Physical Review B, Vol. 112, No. 15, 155425, 22.10.2025.

Research output: Contribution to journal › Article › peer-review

Harvard

Milstein, AI & Terekhov, IS 2025, 'Discrete spectrum of edge states in a two-dimensional topological insulator', Physical Review B, vol. 112, no. 15, 155425. https://doi.org/10.1103/cf2t-vqcw

APA

Milstein, A. I., & Terekhov, I. S. (2025). Discrete spectrum of edge states in a two-dimensional topological insulator. Physical Review B, 112(15), [155425]. https://doi.org/10.1103/cf2t-vqcw

Vancouver

Milstein AI, Terekhov IS. Discrete spectrum of edge states in a two-dimensional topological insulator. Physical Review B. 2025 Oct 22;112(15):155425. doi: 10.1103/cf2t-vqcw

Author

Milstein, A. I. ; Terekhov, I. S. / Discrete spectrum of edge states in a two-dimensional topological insulator. In: Physical Review B. 2025 ; Vol. 112, No. 15.

BibTeX

@article{7282ac6c133e47fa86870f9b0bd99678,
title = "Discrete spectrum of edge states in a two-dimensional topological insulator",
abstract = "The interaction model of two electrons in the edge states of a two-dimensional topological insulator is investigated. Both solutions of the Schr{\"o}dinger 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{\"o}dinger equation. We found the bound-state energy for nonzero total momentum of electrons.",
author = "Milstein, {A. I.} and Terekhov, {I. S.}",
note = "The work of I.S.T. was financially supported by the ITMO Fellowship Program.",
year = "2025",
month = oct,
day = "22",
doi = "10.1103/cf2t-vqcw",
language = "English",
volume = "112",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Physical Society",
number = "15",

}

RIS

TY - JOUR

T1 - Discrete spectrum of edge states in a two-dimensional topological insulator

AU - Milstein, A. I.

AU - Terekhov, I. S.

N1 - The work of I.S.T. was financially supported by the ITMO Fellowship Program.

PY - 2025/10/22

Y1 - 2025/10/22

N2 - The interaction model of two electrons in the edge states of a two-dimensional topological insulator is investigated. Both solutions of the Schrödinger 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 Schrödinger equation. We found the bound-state energy for nonzero total momentum of electrons.

AB - The interaction model of two electrons in the edge states of a two-dimensional topological insulator is investigated. Both solutions of the Schrödinger 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 Schrödinger equation. We found the bound-state energy for nonzero total momentum of electrons.

UR - https://www.mendeley.com/catalogue/bab5d48f-0a5b-3c49-a57d-95b312ae12ca/

UR - https://www.scopus.com/pages/publications/105020665957

U2 - 10.1103/cf2t-vqcw

DO - 10.1103/cf2t-vqcw

M3 - Article

VL - 112

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 15

M1 - 155425

ER -

ID: 72667996