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Zero-energy flat bands within the superconducting gap can give rise to competing ordered phases. We investigate such phases in topological superconductors based on the magnetic adatom platform hosting a flat band of Majorana edge states.…

We investigate a topological superconducting wire with balanced gain and loss that is effectively described by the non-Hermitian Kitaev/Majorana chain with parity-time symmetry. This system is shown to possess two distinct types of…

介观与纳米尺度物理 · 物理学 2018-08-10 Kohei Kawabata , Yuto Ashida , Hosho Katsura , Masahito Ueda

The coherence length of two Majorana zero energy modes in a p-wave topological superconductor is inversely proportional to the superconducting order parameter. We studied the finite size effect of the Majorana zero modes at vortices in a…

超导电性 · 物理学 2023-06-14 Bo Fu , Shun-Qing Shen

The stability of Majorana fermions at the edges of a two-dimensional topological supercondutor is studied, after quenches to either non-topological phases or other topological phases. Both instantaneous and slow quenches are considered. In…

统计力学 · 物理学 2015-06-19 P. D. Sacramento

We explore possible signatures for observing Majorana Fermions in the tunneling spectroscopy of high-Tc cuprate superconductors. We find that as long as the Rashba spin orbit interaction is in presence either through proximity effect due to…

超导电性 · 物理学 2015-06-24 Jun-Ting Kao , Shin-Ming Huang , Chung-Yu Mou , C. C. Tsuei

It is shown that the presence of the Majorana fermion edge states along the perimeter of a topological superconductor can be probed using an interacting quantum dot coupled to three terminals: two spin-polarized (ferromagnetic) leads and…

强关联电子 · 物理学 2011-11-15 Rok Zitko

A vortex in a model spinless px+ipy superconductor induces two Majorana fermions (MFs), one in the core and the other at the sample edge. In the present work, we show that edge MF can be generated, fused, transported, and braided easily by…

超导电性 · 物理学 2011-12-30 Qi-Feng Liang , Zhi Wang , Xiao Hu

The existence of edge states and zero energy modes in vortex cores is a hallmark of topologically nontrivial phases realized in various condensed matter systems such as the fractional quantum Hall states, p+ip superconductors, and Z_2…

超导电性 · 物理学 2009-04-03 Masatoshi Sato , Satoshi Fujimoto

The presence of Majorana zero-energy modes at vortex cores in a topological superconductor implies that each vortex carries an extra entropy $s_0$, given by $(k_{B}/2)\ln 2$, that is independent of temperature. By utilizing this special…

介观与纳米尺度物理 · 物理学 2012-10-08 Chang-Yu Hou , Kirill Shtengel , Gil Refael , Paul M. Goldbart

Majorana fermion (MF) excitations in solid state system have non-Abelian statistics which is essential for topological quantum computation. Previous proposals to realize MF, however, generally requires fine-tuning of parameters. Here we…

介观与纳米尺度物理 · 物理学 2015-03-10 Hoi-Yin Hui , P. M. R. Brydon , Jay D. Sau , S. Tewari , S. Das Sarma

Experimental evidence was recently obtained for topological superconductivity in spin-orbit coupled nano wires in a magnetic field, proximate to an s-wave superconductor. When only part of the wire contacts the superconductor, a localized…

强关联电子 · 物理学 2018-12-31 Ian Affleck , Domenico Giuliano

In the context of slow quenching dynamics of a $p$-wave superconducting chain, it has been shown that a Majorana edge state can not be adiabatically transported from one topological phase to the other separated by a quantum critical line.…

介观与纳米尺度物理 · 物理学 2015-03-24 Atanu Rajak , Tanay Nag , Amit Dutta

Majorana edge modes are candidate elements of topological quantum computing. In this work, we purpose a Floquet engineering approach to generate arbitrarily many non-Hermitian Majorana zero and $\pi$ modes at the edges of a one-dimensional…

介观与纳米尺度物理 · 物理学 2020-03-17 Longwen Zhou

We study all possible Majorana modes in two-dimensional spin-orbit coupled ferromagnetic superconductor-normal state-superconductor (SNS) Josephson junctions and propose experiments to detect them. With the S region in a non-trivial…

超导电性 · 物理学 2015-05-28 Annica M. Black-Schaffer , Jacob Linder

We show the presence of Majorana edge modes in an interacting fermionic ladder with spin in a number conserved setting. The interchain single particle hopping is suppressed and only a pair hopping is present between the different chains of…

量子气体 · 物理学 2022-12-23 Franco T. Lisandrini , Corinna Kollath

We study theoretically the role of topological invariants to protect the Majorana fermions in a model of two-dimensional chiral superconductors which belong to class D of topological periodic table. A rich phase diagram is revealed. Each…

介观与纳米尺度物理 · 物理学 2012-09-25 Daichi Asahi , Naoto Nagaosa

Topological superconductors, which support Majorana fermion excitations, have been the subject of intense studies due to their novel transport properties and their potential applications in fault-tolerant quantum computations. Here we…

超导电性 · 物理学 2014-02-24 James Jun He , Jiansheng Wu , Ting-Pong Choy , Xiong-Jun Liu , Y. Tanaka , K. T. Law

Certain types of topological superconductors and superfluids are known to host protected Majorana zero modes in cores of Abrikosov vortices. When such vortices are arranged in a dense periodic lattice one expects zero modes from neighboring…

超导电性 · 物理学 2015-10-28 Tianyu Liu , M. Franz

Semiconductor-s-type superconductor nanowires host spinful fermions and cannot be reduced to a single spinless Kitaev chain hosting single Majorana zero mode. Instead, such systems can be converted into two coupled p-wave Kitaev-like chains…

介观与纳米尺度物理 · 物理学 2026-01-28 Mijanur Islam , Mahan Mohseni , Ibsal Assi , Daniel Miravet , Pawel Hawrylak

We present a pedagogical review of topological superconductivity and its consequences in spin-orbit coupled semiconductor/superconductor heterostructures. We start by reviewing the historical origins of the notions of Dirac and Majorana…

超导电性 · 物理学 2022-09-22 Jay Sau , Sumanta Tewari