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Auteurs principaux: Suleymanli, Bahruz, Tanatar, B.
Format: Preprint
Publié: 2024
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Accès en ligne:https://arxiv.org/abs/2412.18399
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author Suleymanli, Bahruz
Tanatar, B.
author_facet Suleymanli, Bahruz
Tanatar, B.
contents The theory of layered superconductors is extended in the presence of Rashba and Dresselhaus spin-orbit interactions (SOIs). Using the intralayer BCS-like pairing interaction and employing the Gor'kov formalism, we obtain analytical expressions for the temperature Green's functions and determine the gap function $Δ$ which becomes complex in the presence of SOIs. In the absence of SOIs, $Δ$ is isotropic at both zero and finite temperatures, but it becomes anisotropic even in the presence of a single SOI. This anisotropy is related to the extra $\cos{k_z}$ factors in which the $k_z$ momentum along the $z$ direction contributes to the magnitude of the gap function. It is also found that SOIs suppress $Δ$ at both zero and finite temperatures, and for certain critical values of SOIs and beyond $Δ$ vanishes. Analytical expressions for the critical values of SOIs at zero temperature are obtained. Additionally, how the BCS equation for layered superconductors changes in the presence of SOIs is determined.
format Preprint
id arxiv_https___arxiv_org_abs_2412_18399
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gap Anisotropy in Layered Superconductors Due to Rashba and Dresselhaus Spin-Orbit Interactions
Suleymanli, Bahruz
Tanatar, B.
Superconductivity
The theory of layered superconductors is extended in the presence of Rashba and Dresselhaus spin-orbit interactions (SOIs). Using the intralayer BCS-like pairing interaction and employing the Gor'kov formalism, we obtain analytical expressions for the temperature Green's functions and determine the gap function $Δ$ which becomes complex in the presence of SOIs. In the absence of SOIs, $Δ$ is isotropic at both zero and finite temperatures, but it becomes anisotropic even in the presence of a single SOI. This anisotropy is related to the extra $\cos{k_z}$ factors in which the $k_z$ momentum along the $z$ direction contributes to the magnitude of the gap function. It is also found that SOIs suppress $Δ$ at both zero and finite temperatures, and for certain critical values of SOIs and beyond $Δ$ vanishes. Analytical expressions for the critical values of SOIs at zero temperature are obtained. Additionally, how the BCS equation for layered superconductors changes in the presence of SOIs is determined.
title Gap Anisotropy in Layered Superconductors Due to Rashba and Dresselhaus Spin-Orbit Interactions
topic Superconductivity
url https://arxiv.org/abs/2412.18399