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Fidelity and fidelity susceptibility are introduced to investigate the topological superconductors with end Majorana fermions. A general formalism is established to calculate the fidelity and fidelity susceptibility by solving Bogoliubov-de…

Superconductivity · Physics 2015-06-15 Zhi Wang , Qi-Feng Liang , Dao-Xin Yao

Zeeman fields can drive semiconductor quantum wires with strong spin-orbit coupling and in proximity to s-wave superconductors into a topological phase which supports end Majorana fermions and offers an attractive platform for realizing…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Piet W. Brouwer , Mathias Duckheim , Alessandro Romito , Felix von Oppen

Quantum phase transitions that take place between two distinct topological phases remain an unexplored area for the applicability of the fidelity approach. Here, we apply this method to spin systems in two and three dimensions and show that…

Strongly Correlated Electrons · Physics 2009-03-04 Silvano Garnerone , Damian Abasto , Stephan Haas , Paolo Zanardi

We investigate the role of the coupling between a spin-orbit coupled semiconductor nanowire and a conventional $s$-wave superconductor on the emergence of the topological superconducting phase with Majorana bound states in an applied…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Oladunjoye A. Awoga , Jorge Cayao , Annica M. Black-Schaffer

Spin-orbit coupled semiconducting nanowires with proximity-induced superconductivity are expected to host Majorana zero modes at their endpoints when a sufficiently strong magnetic field is applied. The resulting phase would be a…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 David J. Clarke

We study a semiconductor wire with strong spin-orbit coupling, which is proximity-coupled to a superconductor with chemical potential disorder. When tunneling at the semiconductor- superconductor interface is very weak, it is known that…

Superconductivity · Physics 2016-11-02 William S. Cole , Jay D. Sau , S. Das Sarma

In this work, we investigate the effect of disorder on the topological properties of multichannel superconductor nanowires. While the standard expectation is that the spectral gap is closed and opened at transitions that change the…

Mesoscale and Nanoscale Physics · Physics 2017-03-16 B. Pekerten , A. Teker , O. Bozat , M. Wimmer , I. Adagideli

The hope to realize Majorana fermions at the vortex core of a two dimensional topological superconductor has led to a variety of proposals for devices which exhibit topological superconductivity. Many of these include superconductivity…

Strongly Correlated Electrons · Physics 2014-11-05 Aaron Farrell , T. Pereg-Barnea

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor. We show that when odd number of subbands are occupied the system realizes non-trivial topological state supporting Majorana modes localized at the…

Superconductivity · Physics 2011-03-31 Roman M. Lutchyn , Tudor Stanescu , S. Das Sarma

We study semiconductor nanowires coupled to a bilayer of a disordered superconductor and a magnetic insulator, motivated by recent experiments reporting possible Majorana-zero-mode signatures in related architectures. Specifically, we…

Mesoscale and Nanoscale Physics · Physics 2021-04-09 Aleksei Khindanov , Jason Alicea , Patrick Lee , William S. Cole , Andrey E. Antipov

A spin-orbit coupled quantum wire, with one end proximate to an s-wave superconductor, can become a topological superconductor, with a Majorana mode localized at each end of the superconducting region. It was recently shown that coupling…

Strongly Correlated Electrons · Physics 2014-09-26 Yashar Komijani , Ian Affleck

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…

Superconductivity · Physics 2013-08-12 Aaron Farrell , T. Pereg-Barnea

We investigate theoretically a one-dimensional semiconductor-superconductor (SM-SC) heterostructure with Rashba spin-orbit coupling and parallel Zeeman field in the presence of disorder generated by random charged impurities and identify…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Binayyak B. Roy , Rimika Jaiswal , Tudor D. Stanescu , Sumanta Tewari

One of the most promising platforms for one-dimensional topological superconductivity is based on semiconducting nanowires with strong spin-orbit coupling (SOC), where s-wave superconductivity is induced by proximity effect and an external…

Mesoscale and Nanoscale Physics · Physics 2017-03-23 Jorge Cayao

We theoretically study a spin-orbit-coupled nanowire proximitized by a superconductor in the presence of an externally applied Zeeman field ("Majorana nanowire") with zero-energy Majorana bound states localized at the two ends of the wire…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 Yingyi Huang , Jay D. Sau , Tudor D. Stanescu , S. Das Sarma

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

Motivated by a recent breakthrough transport experiment [Phys. Rev. B.107.245423 (2023)] in Majorana nanowires, we theoretically investigate local and nonlocal transport in Majorana nanowires in various disorder regimes, correlating the…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Sankar Das Sarma , Haining Pan

The possibility to observe and manipulate Majorana fermions as end states of one-dimensional topological superconductors has been actively discussed recently. In a quantum wire with strong spin-orbit coupling placed in proximity to a bulk…

Superconductivity · Physics 2014-07-31 Masaki Tezuka , Norio Kawakami

We study two-terminal configurations in junctions between a topological superconducting wire with spin-orbit coupling and magnetic field, and an ordinary conductor with an embedded quantum dot. One of the signatures of the Majorana zero…

Superconductivity · Physics 2023-07-26 Leonel Gruñeiro , Miguel Alvarado , Alfredo Levy Yeyati , Liliana Arrachea

We consider a new model system supporting Majorana zero modes based on semiconductor nanowires with a full superconducting shell. We demonstrate that, in the presence of spin-orbit coupling in the semiconductor induced by a radial electric…

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