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Recent experiments have provided evidence that one-dimensional (1D) topological superconductivity can be realized experimentally by placing transition metal atoms that form a ferromagnetic chain on a superconducting substrate. We address…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 Jian Li , Hua Chen , Ilya K. Drozdov , A. Yazdani , B. Andrei Bernevig , A. H. MacDonald

Two-dimensional second-order topological superconductors host zero-dimensional Majorana bound states at their boundaries. In this work, focusing on rotation-invariant crystalline topological superconductors, we establish a bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Elis Roberts , Jan Behrends , Benjamin Béri

Just like insulators can host topological Dirac states at their edges, superconductors can also exhibit topological phases characterized by Majorana edge states. Remarkable zero-energy states have been recently observed at the two ends of…

Second-order topological superconductors host Majorana corner and hingemodes in contrast to conventional edge and surface modes in two and three dimensions. However, the realization of such second-order corner modes usually demands…

Mesoscale and Nanoscale Physics · Physics 2020-06-04 Ya-Jie Wu , Junpeng Hou , Yun-Mei Li , Xi-Wang Luo , Xiaoyan Shi , Chuanwei Zhang

The presence or absence of certain symmetries in the normal state (NS) also determines the symmetry of the Cooper pairs. Here we show that parity (${\mathcal P}$) and time-reversal (${\mathcal T}$) odd Dirac insulators (trivial or…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Bitan Roy

Planar topological superconductors with power-law-decaying pairing display different kinds of topological phase transitions where quasiparticles dubbed nonlocal-massive Dirac fermions emerge. These exotic particles form through long-range…

Superconductivity · Physics 2019-07-17 T. O. Puel , O. Viyuela

The search for a superconductor with non-s-wave pairing is important not only for understanding unconventional mechanisms of superconductivity but also for finding new types of quasiparticles such as Majorana bound states. Materials with…

Noncollinear magnetism opens exciting possibilities to generate topological superconductivity. Here, we focus on helical and cycloidal magnetic textures in magnet-superconductor hybrid structures in a background magnetic field. We…

Superconductivity · Physics 2020-12-21 Stefan Rex , Igor V. Gornyi , Alexander D. Mirlin

Topological superconductors have been theoretically predicted as a new class of time-reversal-invariant superconductors which are fully gapped in the bulk but have protected gapless surface Andreev bound states. In this work, we provide a…

Superconductivity · Physics 2013-05-29 Liang Fu , Erez Berg

Recently, superconductors with higher-order topology have stimulated extensive attention and research interest. Higher-order topological superconductors exhibit unconventional bulk-boundary correspondence, thus allow exotic…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Xiao-Ting Chen , Chun-Hui Liu , Dong-Hui Xu , Chui-Zhen Chen

Superconductivity of a single two-dimensional Dirac fermion offers a natural route to topological superconductivity. While usually considered extrinsic -- arising from proximity to a conventional superconductor -- we investigate when a…

Superconductivity · Physics 2026-04-09 Omid Tavakol , Thomas Scaffidi

We employed the self-consistent method on a two-orbital type-II time-reversal-symmetric Weyl semimetal, revealing a hybrid pairing of singlet $s$-wave and triplet $p$-wave. We present a detailed analysis of the normal-state electronic…

Superconductivity · Physics 2026-03-02 Junkang Huang , Z. D. Wang , Tao Zhou

We propose to realize second-order topological superconductivity in bilayer spin-polarized Fermi gas superfluids. We focus on systems with intralayer chiral $p$-wave pairing and with tunable interlayer hopping and interlayer interactions.…

Superconductivity · Physics 2019-02-06 Zhigang Wu , Zhongbo Yan , Wen Huang

Chiral and helical Majorana edge modes are two archetypal gapless excitations of two-dimensional topological superconductors. They belong to superconductors from two different Altland-Zirnbauer symmetry classes characterized by $\mathbb{Z}$…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Haiping Hu , Indubala I. Satija , Erhai Zhao

Helical superconductors form a two dimensional, time-reversal invariant topological phase characterized by a Kramers pair of Majorana edge modes (helical Majorana modes). Existing detection schemes to identify this phase rely either on spin…

Superconductivity · Physics 2012-05-17 B. Béri

We discuss a pairing mechanism in interacting two-dimensional multipartite lattices that intrinsically leads to a second order topological superconducting state with a spatially modulated gap. When the chemical potential is close to Dirac…

Superconductivity · Physics 2022-02-28 Tommy Li , Max Geier , Julian Ingham , Harley D. Scammell

We further investigate a class of time-reversal-invariant two-band s-wave topological superconductors introduced in Phys. Rev. Lett. 108, 036803 (2012). We show how, in the presence of time-reversal symmetry, Z_2 invariants that distinguish…

Superconductivity · Physics 2015-06-15 Shusa Deng , Gerardo Ortiz , Lorenza Viola

Second order topological insulator can be engineered from two-dimensional materials with strong spin-orbit coupling and in-plane Zeeman field. In proximity to superconductor, topological superconducting phase could be induced in the…

Superconductivity · Physics 2023-01-11 Ma Luo

We self-consistently study surface states of superconducting topological insulators. We clarify that, if a topologically trivial bulk s-wave pairing symmetry is realized, parity mixing of pair potential near the surface is anomalously…

Superconductivity · Physics 2014-11-27 Takeshi Mizushima , Ai Yamakage , Masatoshi Sato , Yukio Tanaka

As a half-metal is spin-polarized at its Fermi level by definition, it was conventionally thought to have little proximity effect to an s-wave superconductor. Here we show that, with interface spin-orbit coupling, $p_x +ip_y$…

Superconductivity · Physics 2015-03-17 Suk Bum Chung , Hai-Jun Zhang , Xiao-Liang Qi , Shou-Cheng Zhang