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We study the condition for a topological superconductor (TS) phase with end Majorana fermions to appear when a quasiperiodic lattice modulation is applied to a one-dimensional quantum wire with strong spin-orbit interaction situated under a…

Superconductivity · Physics 2012-04-25 Masaki Tezuka , Norio Kawakami

We consider a three-dimensional topological insulator (TI) wire with a non-uniform chemical potential induced by gating across the cross-section. This inhomogeneity in chemical potential lifts the degeneracy between two one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Henry F. Legg , Daniel Loss , Jelena Klinovaja

Topological crystalline insulators are phases of matter where the crystalline symmetries solely protect the topology. In this work, we explore the effect of many-body interactions in a subclass of topological crystalline insulators, namely…

Strongly Correlated Electrons · Physics 2023-05-25 Devendra Singh Bhakuni , Amrita Ghosh , Eytan Grosfeld

Topological one-dimensional superconductors can sustain in their extremities zero energy modes that are protected by different kinds of symmetries. The observation of these excitations in the form of Majorana fermions is one of the most…

Mesoscale and Nanoscale Physics · Physics 2022-09-07 A. C. P. Lima , R. C. Bento Ribeiro , J. H. Correa , Fernanda Deus , M. S. Figueira , Mucio A. Continentino

We demonstrate how the non-trivial interplay between spin-orbit coupling and nodeless $s$-wave superconductivity can drive a fully gapped two-band topological insulator into a time-reversal invariant gapless topological superconductor…

Superconductivity · Physics 2014-04-29 Shusa Deng , Gerardo Ortiz , Amrit Poudel , Lorenza Viola

Advances in the next generation of mesoscopic electronics require an understanding of topological phases in inhomogeneous media and the principles that govern them. Motivated by the nature of motifs available in printable conducting inks,…

Mesoscale and Nanoscale Physics · Physics 2026-01-16 Nirnoy Basak , Ritajit Kundu , Basudeb Mondal , Adhip Agarwala

By decreasing the transversal confinement potential in interacting one-dimensional spinless electrons and populating the second energetically lowest sub-band, for not too strong interactions system transitions into a quasi-one-dimensional…

Strongly Correlated Electrons · Physics 2016-05-25 G. Sun , T. Vekua

We present a comprehensive theoretical study of interacting and disordered topological phases of coupled Kitaev wires, which may support further realistic applications of Majorana fermions. We develop a variety of analytical, mathematical…

Superconductivity · Physics 2025-04-08 Frederick Del Pozo , Loïc Herviou , Olesia Dmytruk , Karyn Le Hur

We investigate the effect of interactions on the stability of a disordered, two-dimensional topological insulator realized as an array of nanowires or chains of magnetic atoms on a superconducting substrate. The Majorana zero-energy modes…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 A. Milsted , L. Seabra , I. C. Fulga , C. W. J. Beenakker , E. Cobanera

An array of quantum wires is a natural starting point in realizing two-dimensional topological phases. We study a system of weakly coupled quantum wires with Rashba spin-orbit coupling, proximity coupled to a conventional s-wave…

Superconductivity · Physics 2015-06-18 Inbar Seroussi , Erez Berg , Yuval Oreg

We study two microscopic models of topological insulators in contact with an $s$-wave superconductor. In the first model the superconductor and the topological insulator are tunnel coupled via a layer of scalar and of randomly oriented spin…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Constantin Schrade , A. A. Zyuzin , Jelena Klinovaja , Daniel Loss

We consider a Josephson bijunction consisting of a thin $SIS$ $\pi$-Josephson junction sandwiched between two-dimensional semiconducting layers with strong Rashba spin-orbit interaction. Each of these layers forms an $SNS$ junction due to…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 Yanick Volpez , Daniel Loss , Jelena Klinovaja

We analyze the effects of electron-electron interactions and disorder on a Rashba double-nanowire setup coupled to an s-wave superconductor, which has been recently proposed as a versatile platform to generate Kramers pairs of Majorana…

Mesoscale and Nanoscale Physics · Physics 2018-01-26 Manisha Thakurathi , Pascal Simon , Ipsita Mandal , Jelena Klinovaja , Daniel Loss

We study the excitation spectrum of a topological insulator in contact with an s-wave superconductor, starting from a microscopic model, and develop an effective low-energy model for the proximity effect. In the vicinity of the Dirac cone…

Superconductivity · Physics 2010-06-25 Tudor D. Stanescu , Jay D. Sau , Roman M. Lutchyn , S. Das Sarma

We consider a setup consisting of two coupled sheets of bilayer graphene in the regime of strong spin-orbit interaction, where electrostatic confinement is used to create an array of effective quantum wires. We show that for suitable…

Mesoscale and Nanoscale Physics · Physics 2020-03-20 Katharina Laubscher , Daniel Loss , Jelena Klinovaja

The combination of spin-orbit coupling with interactions results in many exotic phases of matter. In this Letter, we investigate the superconducting pairing instability of the two-dimensional extended Hubbard model with both Rashba and…

Superconductivity · Physics 2020-07-08 Majid Kheirkhah , Zhongbo Yan , Yuki Nagai , Frank Marsiglio

Proximity effect is used to generate effective topological superconductor by placing strong spin orbit interacting metals with superconducting materials, aiming to produce Majorana zero modes useful for topologically protected quantum…

Strongly Correlated Electrons · Physics 2016-02-03 Wan-Ju Li , Sung-Po Chao , Ting-Kuo Lee

We study a one-dimensional (1D) interacting electronic liquid coupled to a 1D array of classical magnetic moments and to a superconductor. We show that at low energy and temperature the magnetic moments and the electrons become strongly…

Mesoscale and Nanoscale Physics · Physics 2013-10-08 Bernd Braunecker , Pascal Simon

We present analysis of a single channel interacting quantum wire problem in the presence of spin-orbit interaction. The spin-orbit coupling breaks the spin-rotational symmetry from SU(2) to U(1) and breaks inversion symmetry. The low-energy…

Mesoscale and Nanoscale Physics · Physics 2015-07-28 Nikolaos Kainaris , Sam T. Carr

Interfacing s-wave superconductors and quantum spin Hall edges produces time-reversal-invariant topological superconductivity of a type that can not arise in strictly 1D systems. With the aim of establishing sharp fingerprints of this novel…

Mesoscale and Nanoscale Physics · Physics 2016-10-13 David Aasen , Shu-Ping Lee , Torsten Karzig , Jason Alicea