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We theoretically study transport properties of nanowires with the Dresselhaus [110] spin-orbit coupling under the in-plane Zeeman potential and the proximity-induced s-wave pair potential. In the topologically nontrivial phase, the nanowire…

Superconductivity · Physics 2014-10-15 Satoshi Ikegaya , Yasuhiro Asano , Yukio Tanaka

A time-reversal invariant topological superconductivity is suggested to be realized in a quasi-one dimensional structure on a plane, which is fabricated by filling the superconducting materials into the periodic channel of dielectric…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 E. Nakhmedov , S. Mammadova , O. Alekperov

Parafermion zero modes are generalizations of Majorana modes that underlie comparatively rich non-Abelian-anyon properties. We introduce exact mappings that connect parafermion chains, which can emerge in two-dimensional fractionalized…

Strongly Correlated Electrons · Physics 2018-09-12 Aaron Chew , David F. Mross , Jason Alicea

The possible realization of Majorana fermions as quasiparticle excitations in condensed matter physics has created much excitement. Most recent studies have focused on Majorana bound states which can serve as topological qubits. More…

We calculate the differential conductance at a probe inserted in the weak link of a topological Josephson junction, consisting of a semiconducting nanowire deposited on top of two separated superconductors. Our aim is to understand how the…

Mesoscale and Nanoscale Physics · Physics 2014-01-17 Stefano Valentini , Rosario Fazio , Fabio Taddei

We study a one-dimensional $p$-wave superconductor subject to non-Hermitian quasiperiodic potentials. Although the existence of the non-Hermiticity, the Majorana zero mode is still robust against the disorder perturbation. The analytic…

Disordered Systems and Neural Networks · Physics 2021-03-24 Tong Liu , Shujie Cheng , Hao Guo , Gao Xianlong

Planar Josephson junctions provide a platform to host topological superconductivity which, through manipulating Majorana bound states (MBS), could enable fault-tolerant quantum computing. However, what constitutes experimental signatures of…

Mesoscale and Nanoscale Physics · Physics 2024-08-21 Barış Pekerten , David Brandão , Bassel Heiba Elfeky , Tong Zhou , Jong E. Han , Javad Shabani , Igor Žutić

We investigate the collisions of Majorana zero modes, which are presented as inter-soliton collisional events in fermionic superfluids with spin-orbit coupling. Our results demonstrate that, the zero energy splitting, induced by the…

Quantum Gases · Physics 2023-12-27 Liang-Liang Wang , Wenjun Shao , Jian Li

Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Pasquale Marra

We consider a model of a Josephson junction of two topological superconducting wires mediated by an interacting quantum dot. An additional normal electrode coupled to the dot from the top allows to probe its density of states. The Majorana…

Mesoscale and Nanoscale Physics · Physics 2019-03-07 Piotr Stefański

Fusing Majorana zero modes leads to multiple outcomes, a property being unique to non-Abelian anyons. Successful demonstration of this nontrivial fusion rule would be a hallmark for the development of topological quantum computation.Here we…

Mesoscale and Nanoscale Physics · Physics 2023-10-26 Yu Zhang , Xiaoyu Zhu , Chunhui Li , Juntao Song , Jie Liu , X. C. Xie

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.…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 T. -P. Choy , J. M. Edge , A. R. Akhmerov , C. W. J. Beenakker

We investigate Josephson currents in mesoscopic rings with a weak link which are in or near a topological superconducting phase. As a paradigmatic example, we consider the Kitaev model of a spinless p-wave superconductor in one dimension,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Falko Pientka , Alessandro Romito , Mathias Duckheim , Yuval Oreg , Felix von Oppen

A highlighting feature of Majorana bound states in two-dimensional topological superconductors is that they gain a phase factor of $\pi$ upon being orbited by a vortex. This work focuses on the vortex degree of freedom itself and…

Strongly Correlated Electrons · Physics 2016-06-29 Jeffrey C. Y. Teo , Mayukh Nilay Khan , Smitha Vishveshwara

We propose a platform for engineering helical fermions in a hybridized double-quantum-wire setup. When our setup is proximity coupled to an $s$-wave superconductor it can become a class $D$ topological superconductor exhibiting Majorana…

Strongly Correlated Electrons · Physics 2020-05-19 Ömer M. Aksoy , John R. Tolsma

We consider theoretically the physics of bulk topological superconductivity accompanied by boundary non-Abelian Majorana zero modes in semiconductor-superconductor (SM-SC) hybrid systems consisting of finite wires in the presence of…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Sankar Das Sarma , Jay D. Sau , Tudor D. Stanescu

We study the conditions for the existence of unpaired Majorana modes at the ends of vortex lines or the side edges of a layered topological superconductor. We show that the problem is mapped to that of a general Majorana chain and extend…

Superconductivity · Physics 2012-03-01 Babak Seradjeh , Eytan Grosfeld

In superconductor-semiconductor hybrids, applying a magnetic field closes a trivial bulk gap and causes a topological phase transition (TPT), resulting in the emergence of Majorana zero modes at both ends of the wires. However, trivial…

Superconductivity · Physics 2025-11-06 Takeshi Mizushima , Yukio Tanaka , Jorge Cayao

Under appropriate external conditions a semiconductor nanowire in proximity to an s-wave superconductor can be in a topological superconducting (TS) phase. This phase supports localized zero-energy Majorana fermions at the ends of the wire.…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 Jay D. Sau , D. J. Clarke , S. Tewari

Theoretical research suggests a emergence of the Majorana bound states at the ends of the nanowires. Experimental verifications of said concept has already been executed, e.g., in superconductor/semiconductor nanowire devices where…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 Aksel Kobiałka , Andrzej Ptok