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Noncentrosymmetric superconductors with strong spin-orbit coupling and the B phase of ${}^3$He are possible realizations of topological superconductors with time-reversal symmetry. The nontrivial topology of these time- reversal invariant…

Superconductivity · Physics 2015-01-27 Raquel Queiroz , Andreas P. Schnyder

Topological superconductors (TSCs) have a full gap in the bulk and gapless surface states consisting of Majorana fermions, which have potential applications in fault-tolerant topological quantum computation. Because TSCs are very rare in…

We have studied the longitudinal thermal conductivity of the surface of a three-dimensional time-reversal symmetric topological superconductor with random disorder. Majorana fermions on the surface of topological superconductors have a…

Superconductivity · Physics 2014-03-05 Ryota Nakai , Kentaro Nomura

High-order topological phases host robust boundary states at the boundary of the boundary, which can be interpreted from their boundary topology. In this work, considering the interplay between superconductors and magnetic fields to gap the…

Superconductivity · Physics 2021-09-29 Xun-Jiang Luo , Xiao-Hong Pan , Xin Liu

A weak superconducting proximity effect in the vicinity of the topological transition of a quantum anomalous Hall system has been proposed as a venue to realize a topological superconductor (TSC) with chiral Majorana edge modes (CMEMs). A…

Superconductivity · Physics 2018-03-16 Yingyi Huang , F. Setiawan , Jay D. Sau

The topological superconducting state is a highly sought-after quantum state hosting topological order and Majorana excitations. In this work, we explore the mechanism to realize the topological superconductivity (TSC) in the doped Mott…

Strongly Correlated Electrons · Physics 2023-04-03 Yixuan Huang , Shou-Shu Gong , D. N. Sheng

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

As one of the simplest systems for realizing Majorana fermions, topological superconductor plays an important role in both condensed matter physics and quantum computations. Based on \emph{ab~initio} calculations and the analysis of an…

Superconductivity · Physics 2016-09-06 Gang Xu , Biao Lian , Peizhe Tang , Xiao-Liang Qi , Shou-Cheng Zhang

In proximity to an s-wave superconductor, a one- or two-dimensional, electron- or hole-doped semiconductor with a sizable spin-orbit coupling and a Zeeman splitting can support a topological superconducting (TS) state. The semiconductor TS…

Superconductivity · Physics 2012-02-28 Jay D. Sau , Sumanta Tewari , S. Das Sarma

Two classes of topological superconductors and Majorana modes in condensed matter systems are known to date: one, in which impurity disorder strongly suppresses topological superconducting gap and is detrimental to Majorana modes, and the…

Mesoscale and Nanoscale Physics · Physics 2018-06-13 G. E. Simion , A. Kazakov , L. P. Rokhinson , T. Wojtowicz , Y. B. Lyanda-Geller

We consider the interplay of disorder and interactions upon the gapless surface states of 3D topological superconductors. The combination of topology and superconducting order inverts the action of time-reversal symmetry, so that extrinsic…

Disordered Systems and Neural Networks · Physics 2014-05-07 Matthew S. Foster , Hong-Yi Xie , Yang-Zhi Chou

We review recent numerical studies of two-dimensional (2D) Dirac fermion theories that exhibit an unusual mechanism of topological protection against Anderson localization. These describe surface-state quasiparticles of time-reversal…

Disordered Systems and Neural Networks · Physics 2021-12-13 Jonas F. Karcher , Matthew S. Foster

We theoretically study the noncollinear magnetic texture effect on second-order topological superconductor (SOTSC) phase generated in unconventional $d$-wave superconductors and two-dimensional (2D) quantum spin Hall insulators (QSHI).…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 Minakshi Subhadarshini , Archana Mishra , Arijit Saha

Coupling the surface state of a topological insulator (TI) to an s-wave superconductor is predicted to produce the long-sought Majorana quasiparticle excitations. However, superconductivity has not been measured in surface states when the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Sungjae Cho , Brian Dellabetta , Alina Yang , John Schneeloch , Zhijun Xu , Tonica Valla , Genda Gu , Matthew J. Gilbert , Nadya Mason

The discovery of unconventional superconductivity in the heavy-fermion material UTe$_2$ has reinvigorated research of spin-triplet superconductivity. We perform a theoretical study of coupled two-component spin-triplet superconducting order…

Superconductivity · Physics 2024-02-23 Henrik S. Røising , Max Geier , Andreas Kreisel , Brian M. Andersen

We propose to realize a two-dimensional chiral topological superconducting (TSC) state from the quantum anomalous Hall plateau transition in a magnetic topological insulator thin film through the proximity effect to a conventional $s$-wave…

Superconductivity · Physics 2015-09-01 Jing Wang , Quan Zhou , Biao Lian , Shou-Cheng Zhang

Topological superconductors (TSCs) provide a promising route to fault-tolerant quantum information processing. However, the canonical Majorana platform based on $2e$ TSCs remains computationally constrained. In this work, we find a $4e$ TSC…

Strongly Correlated Electrons · Physics 2026-03-31 Zhengyan Darius Shi , Zhaoyu Han , Srinivas Raghu , Ashvin Vishwanath

The discovery that spin-orbit coupling can generate a new state of matter in the form of quantum spin-Hall (QSH) insulators has brought topology to the forefront of condensed matter physics. While QSH states from spin-orbit coupling can be…

Strongly Correlated Electrons · Physics 2019-06-18 Yuhai Liu , Zhenjiu Wang , Toshihiro Sato , Martin Hohenadler , Chong Wang , Wenan Guo , Fakher F. Assaad

The search for topological superconductors (TSCs) is one of the most urgent contemporary problems in condensed matter systems. TSCs are characterized by a full superconducting gap in the bulk and topologically protected gapless surface (or…

The quantum spin Hall (QSH) effect has attracted extensive research interest because of the potential applications in spintronics and quantum computing, which is attributable to two conducting edge channels with opposite spin polarization…

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