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We study symmetry breaking quantum phase transitions in topological insulators and superconductors where the single electron gap remains open in the bulk. Specifically, we consider spontaneous breaking of the symmetry that protects the…

Strongly Correlated Electrons · Physics 2012-06-08 Tarun Grover , Ashvin Vishwanath

We apply the fidelity approach to study the topological superconductivity in a spin-orbit coupled nanowire system. The wire is modeled as a one layer lattice chain with Zeeman energy and spin-orbit coupling, which is in proximity to a multi…

Superconductivity · Physics 2014-11-25 Wen-Chuan Tian , Guang-Yao Huang , Zhi Wang , Dao-Xin Yao

We study Majorana bound states in a disordered chain of semiconductor quantum dots proximity-coupled to an s-wave superconductor. By calculating its topological quantum number, based on the scattering-matrix method and a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2016-04-22 P. Zhang , Franco Nori

Recent experiments have provided evidence that one-dimensional (1D) topological superconductivity can be realized experimentally by placing transition metal atoms that form a ferromagnetic chain on a superconducting substrate. We address…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 Jian Li , Hua Chen , Ilya K. Drozdov , A. Yazdani , B. Andrei Bernevig , A. H. MacDonald

Recent experimental breakthrough in magnetic Weyl semimetals have inspired exploration on the novel effects of various magnetic structures in these materials. Here we focus on a domain wall structure which connects two uniform domains with…

Superconductivity · Physics 2021-06-07 Zhao Huang , Christopher Lane , Dmitry Yarotski , A. J. Taylor , Jian-Xin Zhu

Topological insulator edges and spin-orbit-coupled quantum wires in proximity to s-wave super- conductors can be tuned through a topological quantum phase transition by a Zeeman field. Here we show that a supercurrent flowing in the s-wave…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Alessandro Romito , Jason Alicea , Gil Refael , Felix von Oppen

Topological superconductors can support localized Majorana states at their boundaries. These quasi-particle excitations have non-Abelian statistics that can be used to encode and manipulate quantum information in a topologically protected…

We investigate the subgap spectrum and transport properties of the quantum dot placed on interface between metallic and superconducting leads and additionally side-coupled to the edge of topological superconducting (TS) chain, hosting the…

Mesoscale and Nanoscale Physics · Physics 2017-01-02 J. Baranski , A. Kobialka , T. Domanski

The Josephson supercurrent through the hybrid Majorana--quantum dot--Majorana junction is investigated. We particularly analyze the effect of spin-selective coupling between the Majorana and quantum dot states, which emerges only in the…

Mesoscale and Nanoscale Physics · Physics 2017-07-11 Luting Xu , Xin-Qi Li , Qing-Feng Sun

We present a theoretical analysis of the equilibrium Josephson current-phase relation in hybrid devices made of conventional s-wave spin-singlet superconductors (S) and topological superconductor (TS) wires featuring Majorana end states.…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 A. Zazunov , A. Iks , M. Alvarado , A. Levy Yeyati , R. Egger

We calculate analytically the spectrum of the Andreev bound states in a half-infinite superconducting wire with an arbitrary number of bands crossing the chemical potential. The normal state of the wire is assumed to have an antiunitary…

Superconductivity · Physics 2020-03-11 K. V. Samokhin

In a recent work [Potter and Lee, Phys. Rev. Lett. 105, 227003 (2010)], it was demonstrated by means of numerical diagonalization that the Majorana end states can be localized at opposite ends of a sample of an ideal spinless p-wave…

Strongly Correlated Electrons · Physics 2011-08-12 Bin Zhou , Shun-Qing Shen

Electron transport through [normal metal]-[quantum dot]-[topological superconductor] junction is studied and reveals interlacing physics of Kondo correlations with two Majorana fermions bound state residing on the opposite edges of the…

Strongly Correlated Electrons · Physics 2013-05-29 Anatoly Golub , Igor Kuzmenko , Yshai Avishai

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

We study a realization of a 1d chain of Majorana bound states at the interfaces between alternating ferromagnetic and superconducting regions at a quantum spin Hall insulator edge. In the limit of well separated Majoranas, the system can be…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 V. Shivamoggi , G. Refael , J. E. Moore

We study a Majorana-carrying quantum wire, driven into a trivial phase by breaking the spatial inversion symmetry with a tilted external magnetic field. Interestingly, we predict that a supercurrent applied in the proximate superconductor…

Mesoscale and Nanoscale Physics · Physics 2013-02-18 Xiong-Jun Liu , Alejandro M. Lobos

We show that carbon nanotubes (CNT) are good candidates for realizing one-dimensional topological superconductivity with Majorana fermions localized near the end points. The physics behind topological superconductivity in CNT is novel and…

Superconductivity · Physics 2013-08-14 Jay D. Sau , Sumanta Tewari

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 analyze a system in which a topological Majorana zero mode (tMZM) combines with a Majorana produced by quantum frustration (fMZM) to produce a novel ground state. The system that we study combines two parts, a grounded topological…

Strongly Correlated Electrons · Physics 2020-07-08 Gu Zhang , Harold U. Baranger

Multi-channel spin-orbit quantum wires, when subjected to a magnetic field and proximity coupled to s-wave superconductor, may support Majorana states. We study what happens to these systems in the presence of disorder. Inspired by the…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Patrick Neven , Dmitry Bagrets , Alexander Altland