Second-order topological superconductor via noncollinear magnetic texture

Fuente: arXiv
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Autores principales: Chatterjee, Pritam, Ghosh, Arnob Kumar, Nandy, Ashis K., Saha, Arijit
Formato: Preprint
Publicado: 2023
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author Chatterjee, Pritam
Ghosh, Arnob Kumar
Nandy, Ashis K.
Saha, Arijit
author_facet Chatterjee, Pritam
Ghosh, Arnob Kumar
Nandy, Ashis K.
Saha, Arijit
contents We put forth a theoretical framework for engineering a two-dimensional (2D) second-order topological superconductor (SOTSC) by utilizing a heterostructure: incorporating noncollinear magnetic textures between an $s$-wave superconductor and a 2D quantum spin Hall insulator. It stabilizes the higher order topological superconducting phase, resulting in Majorana corner modes (MCMs) at four corners of a 2D domain. The calculated non-zero quadrupole moment characterizes the bulk topology. Subsequently, through a unitary transformation, an effective low-energy Hamiltonian reveals the effects of magnetic textures, resulting in an effective in-plane Zeeman field and spin-orbit coupling. This approach provides a qualitative depiction of the topological phase, substantiated by numerical validation within exact real-space model. Analytically calculated effective pairings in the bulk illuminate the microscopic behavior of the SOTSC. The comprehension of MCM emergence is supported by a low-energy edge theory, which is attributed to the interplay between effective pairings of $(p_x + p_y)$-type and $(p_x + i p_y)$-type. Our extensive study paves the way for practically attaining the SOTSC phase by integrating noncollinear magnetic textures.
format Preprint
id arxiv_https___arxiv_org_abs_2308_12703
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Second-order topological superconductor via noncollinear magnetic texture
Chatterjee, Pritam
Ghosh, Arnob Kumar
Nandy, Ashis K.
Saha, Arijit
Mesoscale and Nanoscale Physics
Materials Science
Superconductivity
We put forth a theoretical framework for engineering a two-dimensional (2D) second-order topological superconductor (SOTSC) by utilizing a heterostructure: incorporating noncollinear magnetic textures between an $s$-wave superconductor and a 2D quantum spin Hall insulator. It stabilizes the higher order topological superconducting phase, resulting in Majorana corner modes (MCMs) at four corners of a 2D domain. The calculated non-zero quadrupole moment characterizes the bulk topology. Subsequently, through a unitary transformation, an effective low-energy Hamiltonian reveals the effects of magnetic textures, resulting in an effective in-plane Zeeman field and spin-orbit coupling. This approach provides a qualitative depiction of the topological phase, substantiated by numerical validation within exact real-space model. Analytically calculated effective pairings in the bulk illuminate the microscopic behavior of the SOTSC. The comprehension of MCM emergence is supported by a low-energy edge theory, which is attributed to the interplay between effective pairings of $(p_x + p_y)$-type and $(p_x + i p_y)$-type. Our extensive study paves the way for practically attaining the SOTSC phase by integrating noncollinear magnetic textures.
title Second-order topological superconductor via noncollinear magnetic texture
topic Mesoscale and Nanoscale Physics
Materials Science
Superconductivity
url https://arxiv.org/abs/2308.12703