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We theoretically study bound states generated by magnetic impurities within conventional $s$-wave superconductors, both analytically and numerically. In determining the effect of the hybridization of two such bound states on the energy…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 Silas Hoffman , Jelena Klinovaja , Tobias Meng , Daniel Loss

Atomic manipulation and interface engineering techniques have provided a novel approach to custom-designing topological superconductors and the ensuing Majorana zero modes, representing a new paradigm for the realization of topological…

Superconductivity · Physics 2023-01-18 Eric Mascot , Jasmin Bedow , Martin Graham , Stephan Rachel , Dirk K. Morr

In this work, we study the spin texture of a class of higher-order topological superconductors (HOTSC) and show how it can be used to detect and braid Majorana corner modes (MCMs). This class of HOTSC is composed of two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 Xiao-Hong Pan , Xun-Jiang Luo , Jin-Hua Gao , Xin Liu

The intermediate state of type-I superconductors presents a classic paradigm of modulated pattern formation, arising from the competition between short-range attractive and long-range repulsive vortex-vortex interactions. However, direct…

Superconductivity · Physics 2026-04-24 Xin-Sheng Gao , Qun Wang , Ya-Xun He , Xing-Jian Liu , Jun-Han Zhang , Kang-Hong Yin , Jia-Ying Zhang , Jun-Yi Ge

We consider a model for a one-dimensional quantum wire with Rashba spin-orbit coupling and repulsive interactions, proximity coupled to a conventional s-wave superconductor. Using a combination of Hartree-Fock and density matrix…

Mesoscale and Nanoscale Physics · Physics 2015-04-30 Arbel Haim , Anna Keselman , Erez Berg , Yuval Oreg

We investigate the topological classification of the subgap bands induced in a two-dimensional superconductor by a densely packed chain of magnetic moments with ferromagnetic or spiral alignments. The wave functions for these bands are…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 C. J. F. Carroll , B. Braunecker

We demonstrate the occurrence of a topological phase transition induced by an effective magnetic field in a two-dimensional electron gas with spin-orbit coupling and in proximity to an $s$-wave superconductor. The effective, perpendicular…

Mesoscale and Nanoscale Physics · Physics 2022-10-17 Paul Wenk , Milena Grifoni , John Schliemann

There have been numerous studies on topological superconductivity in magnetic atomic chains deposited on s-wave superconductors. Most of these investigations have focused on spin-orbit interactions or helical spin orders. In this paper, we…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Jinpeng Xiao , Qianglin Hu , Xiaobing Luo

We present a new scheme for Majorana modes in systems with nonsymmporhic-symmetry-protected band degeneracy. We reveal that when the gapless fermionic excitations are encoded with conventional superconductivity and magnetism, which can be…

Superconductivity · Physics 2024-10-10 Zhongyi Zhang , Zhenfei Wu , Chen Fang , Fu-chun Zhang , Jiangping Hu , Yuxuan Wang , Shengshan Qin

We investigate the impact of topology on the existence of impurity subgap states in a time-reversal-invariant superconductor with an extended $s$-wave pairing and strong spin-orbit coupling. By simply tuning the chemical potential we access…

Superconductivity · Physics 2019-01-15 M. Mashkoori , A. G. Moghaddam , M. H. Hajibabaee , A. M. Black-Schaffer , F. Parhizgar

We propose to realize a one-dimensional chiral topological superconducting state at the magnetic domain walls stripe of a magnetic topological insulator coupled with a conventional $s$-wave superconductor. The localized Majorana zero modes…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Jing Wang

We investigate theoretically a one-dimensional semiconductor-superconductor (SM-SC) heterostructure with Rashba spin-orbit coupling and parallel Zeeman field in the presence of disorder generated by random charged impurities and identify…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Binayyak B. Roy , Rimika Jaiswal , Tudor D. Stanescu , Sumanta Tewari

Recent experiments in semiconductor nanowires with a spin-orbit coupling and proximity-induced superconductivity exhibit signatures of Majorana bound states predicted to exist in the topological phase. In this work we predict that these…

Mesoscale and Nanoscale Physics · Physics 2012-12-11 Teemu Ojanen

The external controllability of topological superconductors and Majorana fermions would be important both for fundamental and practical interests. Here we predict the electric-field control of Majorana fermions in two-dimensional…

Superconductivity · Physics 2016-12-07 Jing Wang

Recent advances in electron spin resonance techniques have allowed the manipulation of the spin of individual atoms, making magnetic atomic chains on superconducting hosts one of the most promising platform where topological…

We show that a two-dimensional $s$-wave superconductor may become topological in the presence of a magnetic field that leads to the formation of an Abrikosov vortex lattice. Below the upper critical field, a superconducting state with a…

Superconductivity · Physics 2025-11-18 Daniil S. Antonenko , Liang Fu , Leonid. I Glazman

Time-variant systems have recently garnered considerable attention due to their unique potentials in manipulating electromagnetic waves. Here, a novel class of topological spacetime crystals is introduced, with a traveling-wave modulation…

Optics · Physics 2025-09-24 João C. Serra , Mário G. Silveirinha

We propose a theoretical framework in which a one-dimensional (1D) tight-binding model incorporating unconventional magnetic order together with Rashba and Ising spin-orbit couplings are considered to realize two key phenomena in condensed…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 Amartya Pal , Debashish Mondal , Tanay Nag , Arijit Saha

The possibility of selecting magnetic space groups by orienting the magnetization direction or tuning magnetic orders offers a vast playground for engineering symmetry protected topological phases in magnetic materials. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2024-11-11 Ilyoun Na , Marc Vila , Sinéad M. Griffin

Higher-order topological superconductors host Majorana zero modes localized at corners or hinges, providing a promising route toward scalable and controllable Majorana networks without vortices or magnetic flux. Here we propose a…

Superconductivity · Physics 2026-02-06 Yongting Shi , Qing Wang , Zhen-Guo Fu , Ping Zhang , Ning Hao