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Interplay between superconductivity, spin-orbit coupling and magnetic field can lead to realisation of the topologically non--trivial states which in finite one dimensional nanowires are manifested by emergence of a pair of zero-energy…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Aksel Kobiałka , Tadeusz Domański , Andrzej Ptok

Magnet-superconductor hybrid (MSH) systems represent promising platforms to host Majorana zero modes (MZMs), the elemental building blocks for fault-tolerant quantum computers. Theoretical description of such MSH structures is mostly based…

In this paper, we establish that Majorana zero modes emerging from a topological band structure of a chain of magnetic atoms embedded in a superconductor can be distinguished from trivial localized zero energy states that may accidentally…

Mesoscale and Nanoscale Physics · Physics 2018-03-19 Jian Li , Sangjun Jeon , Yonglong Xie , Ali Yazdani , B. Andrei Bernevig

We study theoretically the proximity effect of a one-dimensional metallic quantum wire (in the absence of spin-orbit interaction) lying on top of an unconventional superconductor. Three different material classes are considered as a…

Superconductivity · Physics 2013-03-14 Sho Nakosai , Jan Carl Budich , Yukio Tanaka , Björn Trauzettel , Naoto Nagaosa

We study Majorana zero modes bound to giant vortices in topological superconductors or topological insulator/normal superconductor heterostructures. By expanding in inverse powers of a large winding number $n$, we find an analytic solution…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Logan Gates , Alexander A. Penin

It is known that a non-local complex fermion can be written in terms of two Majorana fermions. We exploit this fact to explain the system of two Majorana zero modes bound to a vortex and an anti-vortex, on the surface of a topological…

High Energy Physics - Theory · Physics 2022-11-10 Mehran Zahiri Abyaneh , Mehrdad Farhoudi

We review the properties of Majorana fermions in particle physics and point out that Majorana modes in solid state systems are significantly different. The key reason is the concept of anti-particle in solid state systems is different from…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Qi Zhang , Biao Wu

Motivated by a recent experimental report[1] claiming the likely observation of the Majorana mode in a semiconductor-superconductor hybrid structure[2,3,4,5], we study theoretically the dependence of the zero bias conductance peak…

Mesoscale and Nanoscale Physics · Physics 2013-01-09 Chien-Hung Lin , Jay D. Sau , S. Das Sarma

Through $s-d$ coupling, a superconducting thin film interfaced to a noncollinear magnetic insulator inherits its magnetic order, which may induce unconventional superconductivity that hosts Majorana edge states. From the cycloidal, helical,…

Superconductivity · Physics 2015-12-08 Wei Chen , Andreas P. Schnyder

Parafermions are anyons with the potential for realizing non-local qubits that are resilient to local perturbations. Compared to Majorana zero modes, braiding of parafermions implements an extended set of topologically protected quantum…

Strongly Correlated Electrons · Physics 2024-08-27 Botond Osváth , Gergely Barcza , Örs Legeza , Balázs Dóra , László Oroszlány

Magnetic skyrmions are nanoscale spin configurations that can be efficiently created and manipulated. They hold great promises for next-generation spintronics applications. In parallel to these developments, the interplay of magnetism,…

Superconductivity · Physics 2019-10-24 Maxime Garnier , Andrej Mesaros , Pascal Simon

Experimental signatures of Majorana zero modes in a single superconducting quantum wire with spin-orbit coupling have been reported as zero bias peaks in the tunneling spectroscopy. We study whether these zero modes can persist in an array…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Da Wang , Zhoushen Huang , Congjun Wu

One-dimensional topological superconductors are known to host Majorana zero modes at domain walls terminating the topological phase. Their nonabelian nature allows for processing quantum information by braiding operations which are…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Torsten Karzig , Gil Refael , Felix von Oppen

One fundamental difficulty in realizing Majorana zero modes (MZMs) is the required high magnetic field, which causes serious issues, e.g., shrinks the superconducting gap, reduces topological region, and weakens their robustness against…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 Xiao-Hong Pan , Li Chen , Dong E. Liu , Fu-Chun Zhang , Xin Liu

We explore a scheme for engineering a one-dimensional spinless p-wave superconductor hosting unpaired Majorana zero-energy modes, using an all-electric setup with a spin-orbit coupled quantum wire in proximity to an s-wave superconductor.…

Strongly Correlated Electrons · Physics 2016-09-21 Mariana Malard , G. I. Japaridze , Henrik Johannesson

Majorana zero modes are expected to arise in semiconductor-superconductor hybrid systems, with potential topological quantum computing applications. One limitation of this approach is the need for a relatively high external magnetic field…

Altermagnetism provides new routes to realize Majorana zero modes with vanishing net magnetization. We consider a recently proposed heterostructure consisting of a semiconducting wire on top of an altermagnet and with proximity-induced…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Andreas Hadjipaschalis , Sayed Ali Akbar Ghorashi , Jennifer Cano

In the topological phase of spin-orbit coupled nanowires Majorana bound states are known to localize at the nanowire edges and to exhibit a spin density orthogonal to both the magnetic field and the spin-orbit field. By investigating a…

Mesoscale and Nanoscale Physics · Physics 2020-05-18 Lorenzo Rossi , Fabrizio Dolcini , Fausto Rossi

The one-dimensional $p$-wave superconductor, characterized by boundary Majorana modes, has attracted significant interest owing to its potential application in topological quantum computation. Similarly, spin-1/2 Kitaev ladder systems with…

Strongly Correlated Electrons · Physics 2024-11-19 Haoting Xu , Hae-Young Kee

In a first-order topological phase with sublattice degrees of freedom, a change in the boundary sublattice termination has no effect on the existence of gapless boundary states in dimensions higher than one. However, such a change may…

Superconductivity · Physics 2022-08-26 Majid Kheirkhah , Di Zhu , Joseph Maciejko , Zhongbo Yan