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Higher-order topological phases are gapped phases of matter that host gapless corner or hinge modes. For the case of superconductors, corner or hinge modes are gapless Majorana modes or Majorana zero modes. To construct 3d higher-order…

Superconductivity · Physics 2023-12-13 Ryota Nakai , Kentaro Nomura

We investigate the phase diagram of a three-dimensional, time-reversal symmetric topological superconductor in the presence of charge impurities and random $s$-wave pairing. Combining complimentary field theoretic and numerical methods, we…

Mesoscale and Nanoscale Physics · Physics 2017-06-02 Bitan Roy , Yahya Alavirad , Jay D. Sau

We study a new type of three-dimensional topological superconductors that exhibit Majorana zero modes (MZM) protected by a magnetic group symmetry, a combined antiunitary symmetry composed of a mirror reflection and time-reversal. This new…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

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

The exploration of topological superconductivity and Majorana zero modes has become a rapidly developing field. Many types of proposals to realize topological superconductors have been presented, and significant advances have been recently…

Superconductivity · Physics 2019-07-11 Yupeng Li , Zhu-An Xu

Topological Dirac semimetals (TDSs) exhibit bulk Dirac cones protected by time reversal and crystal symmetry, as well as surface states originating from non-trivial topology. While there is a manifold possible onset of superconducting order…

Majorana quasi-particles may arise as zero-energy bound states in vortices on the surface of a topological insulator that is proximitized by a conventional superconductor. Such a system finds its natural realization in the iron-based…

Superconductivity · Physics 2021-03-24 Vedangi Pathak , Stephan Plugge , Marcel Franz

We theoretically study potential unconventional superconductivity in doped AB-type IV-VI semi-conductors, based on a minimal effective model with interaction up to the next-nearest neighbors. According to the experimental implications, we…

Superconductivity · Physics 2022-04-26 Zhe Li , Shengshan Qin , Jie Ren , Zhida Song , Dexi Shao , Chen Fang

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…

Topological superconductors harbor, at their boundaries and vortex cores, zero-energy Majorana bound states, which can be the building blocks in fault-tolerant topological quantum computing. Planar Josephson junctions host such topological…

Superconductivity · Physics 2024-02-22 Pankaj Sharma , Narayan Mohanta

Topological insulators (TIs) hold great promise for realizing zero-energy Majorana states in solid-state systems. Recently, several groups reported experimental data suggesting that signatures of Majorana modes in topological insulator…

The extension of the topological classification of band insulators to topological semimetals gave way to the topology classes of Dirac, Weyl, and nodal line semimetals with their unique Fermi arc and drum head boundary modes. Similarly,…

We study the condition for a topological superconductor (TS) phase with end Majorana fermions to appear when a quasiperiodic lattice modulation is applied to a one-dimensional quantum wire with strong spin-orbit interaction situated under a…

Superconductivity · Physics 2012-04-25 Masaki Tezuka , Norio Kawakami

Interest in topological states of matter exploded over a decade ago with the theoretical prediction and experimental detection of three-dimensional topological insulators, especially in bulk materials that can be tuned out of it by doping.…

Superconductivity · Physics 2020-03-25 Ayo Kolapo , Tingxin Li , Pavan Hosur , John H. Miller

Majorana zero mode is an exotic quasi-particle excitation with non-Abelian statistics in topological superconductor systems, and can serve as the cornerstone for topological quantum computation, a new type of fault-tolerant quantum…

Superconductivity · Physics 2022-04-27 Xianxin Wu , Rui-Xing Zhang , Gang Xu , Jiangping Hu , Chao-Xing Liu

Topological phases with insulating bulk and gapless surface or edge modes have attracted much attention because of their fundamental physics implications and potential applications in dissipationless electronics and spintronics. In this…

Materials Science · Physics 2016-05-18 Yafei Ren , Zhenhua Qiao , Qian Niu

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…

Three-dimensional topological insulators (3D-TIs) possess a specific topological order of electronic bands, resulting in gapless surface states via bulk-edge correspondence. Exotic phenomena have been realized in ferromagnetic TIs, such as…

Materials Science · Physics 2020-04-29 Y. Satake , J. Shiogai , G. P. Mazur , S. Kimura , S. Awaji , K. Fujiwara , T. Nojima , K. Nomura , S. Souma , T. Sato , T. Dietl , A. Tsukazaki

Vortex lines, known as topological defects, are cable of trapping Majorana modes in superconducting topological materials. Previous studies have primarily focused on topological bands with conventional s-wave pairing. However, topological…

Superconductivity · Physics 2026-02-02 Zhongyi Zhang , Zixi Fang , Shengshan Qin , Peng Zhang , Hoi Chun Po , Xianxin Wu

We study the collective behavior of Majorana modes in the vortex state of chiral $p$-wave superconductors. Away from the isolated vortex limit, the zero-energy Majorana states communicate with each other on a vortex lattice, and form a…

Superconductivity · Physics 2016-09-28 Tomohiro Yoshida , Masafumi Udagawa