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There exists a variety of proposals to transform a conventional s-wave superconductor into a topological superconductor, supporting Majorana fermion mid-gap states. A necessary ingredient of these proposals is strong spin-orbit coupling.…

介观与纳米尺度物理 · 物理学 2011-11-10 T. -P. Choy , J. M. Edge , A. R. Akhmerov , C. W. J. Beenakker

This review elaborates pedagogically on the fundamental concept, basic theory, expected properties, and materials realizations of topological superconductors. The relation between topological superconductivity and Majorana fermions are…

超导电性 · 物理学 2017-05-18 Masatoshi Sato , Yoichi Ando

The review is aimed at highlighting the aspects of topological superconductivity in the absence of spin-orbit interaction in two-dimensional systems with long-range non-collinear spin ordering or magnetic skyrmions. Another purpose is to…

超导电性 · 物理学 2021-10-22 A. O. Zlotnikov , M. S. Shustin , A. D. Fedoseev

In this work, we show that a quasi-one-dimensional $d_{x^2-y^2}$-wave superconductor with Rashba spin-orbit coupling is a topological superconductor (TS). This time-reversal invariant DIII class TS supports two topologically protected zero…

超导电性 · 物理学 2012-01-31 L. M. Wong , K. T. Law

The non-Abelian topological order for superconductors is characterized by the existence of zero-energy Majorana fermions in edges of systems and in a vortex of a macroscopic condensate, which obey the non-Abelian statistics. This paper is…

超导电性 · 物理学 2010-12-13 Masatoshi Sato , Yoshiro Takahashi , Satoshi Fujimoto

In this manuscript I present new hybrid devices based on multi-wire/channel Rashba semiconductors, which harbor Majorana fermions (MFs) without a Zeeman field. In contrast, magnetic fluxes, supercurrents or electric fields can be employed,…

介观与纳米尺度物理 · 物理学 2015-07-28 Panagiotis Kotetes

In this tutorial paper, we provide an introduction to the briskly expanding research field of Majorana fermions in topological superconductors. We discuss several aspects of topological superconductivity and the advantages it brings to…

Topological superconductors are novel classes of quantum condensed phases, characterized by topologically nontrivial structures of Cooper pairing states. On the surfaces of samples and in vortex cores of topological superconductors,…

超导电性 · 物理学 2016-06-03 Masatoshi Sato , Satoshi Fujimoto

Recently, Majorana Fermions (MFs) have attracted intensive attention due to their exotic statistics and possible applications in topological quantum computation (TQC). They are proposed to exist in various two-dimensional (2D) topological…

介观与纳米尺度物理 · 物理学 2016-11-23 Qiu-Bo Cheng , Jing He , Su-Peng Kou

Intrinsic topological superconductors have protected gapless Majorana modes, bound and/or propagating, at the natural boundaries of the sample, without requiring field, defect, or heterostructure. We establish the complete…

介观与纳米尺度物理 · 物理学 2022-09-23 Zhongyi Zhang , Jie Ren , Yang Qi , Chen Fang

I. Introduction (What is new in RMT, Superconducting quasiparticles, Experimental platforms) II. Topological superconductivity (Kitaev chain, Majorana operators, Majorana zero-modes, Phase transition beyond mean-field) III. Fundamental…

介观与纳米尺度物理 · 物理学 2015-09-07 C. W. J. Beenakker

Topological phases which host Majorana fermions can not be identified via local order parameters. We give simple nonlocal order parameters to distinguish quasi-one-dimensional (1D) topological superconductors of spinless fermions, for any…

强关联电子 · 物理学 2014-07-29 Yasaman Bahri , Ashvin Vishwanath

Superconductivity in topological materials has drawn a significant interest of the scientific community as these materials provide a hint of the existence of Majorana fermions conceived from the quantized thermal conductivity, a zero-biased…

超导电性 · 物理学 2022-04-27 M. M. Sharma , Prince Sharma , N. K. Karn , V. P. S. Awana

We propose a one-dimensional Hamiltonian $H_{1D}$ which supports Majorana fermions when $d_{x^{2}-y^{2}}$-wave superfluid appears in the ultracold atomic system and obtain the phase-separation diagrams both for the time-reversal-invariant…

量子气体 · 物理学 2013-08-06 Zhongbo Yan , Xiaosen Yang , Shaolong Wan

Majorana Fermions, strange particles that are their own antiparticles, were predicted in 1937 and have been sought after ever since. In condensed matter they are predicted to exist as vortex core or edge excitations in certain exotic…

超导电性 · 物理学 2013-08-12 Aaron Farrell , T. Pereg-Barnea

We examine the topological properties of a spin-singlet superconductor with Rashba and Dresselhaus (110) spin-orbit couplings. We demonstrate that there are several topological invariants in the Bogoliubov-de Gennes (BdG) Hamiltonian by…

超导电性 · 物理学 2015-06-16 Jiabin You , A. H. Chan , C. H. Oh , Vlatko Vedral

Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundary. In conventional topological superconductors, Majorana in-gap states appear in the form of either localized zero-dimensional…

介观与纳米尺度物理 · 物理学 2021-05-10 Junyeong Ahn , Bohm-Jung Yang

We show that a two-dimensional semiconductor with Rashba spin-orbit coupling could be driven into the second-order topological superconducting phase when a mixed-pairing state is introduced. The superconducting order we consider involves…

介观与纳米尺度物理 · 物理学 2019-06-18 Xiaoyu Zhu

Non-Abelian toplogical superconductors are characterized by the existence of {zero-energy} Majorana fermions bound in the quantized vortices. This is a consequence of the nontrivial bulk topology characterized by an {\em odd} Chern number.…

强关联电子 · 物理学 2013-01-14 Jian-Hua Jiang , Si Wu

We study the Majorana bound states arising in quasi-one-dimensional systems with Rashba spin-orbit coupling in the presence of an in-plane Zeeman magnetic field. Using two different methods, first, the numerical diagonalization of the…

介观与纳米尺度物理 · 物理学 2017-12-12 Vardan Kaladzhyan , Julien Despres , Ipsita Mandal , Cristina Bena
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