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We construct non-Abelian geometric transformations in superconducting nanocircuits, which resemble in properties the Aharonov-Bohm phase for an electron transported around a magnetic flux line. The effective magnetic fields can be strongly…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mateusz Cholascinski

We consider core-shell nanowires with prismatic geometry contacted with two or more superconductors in the presence of a magnetic field applied parallel to the wire. In this geometry, the lowest energy states are localized on the outer…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Tudor D. Stanescu , Anna Sitek , Andrei Manolescu

We show that topological superconductivity may emerge upon doping of transition metal dichalcogenide heterobilayers above an integer-filling magnetic state of the topmost valence moir\'e band. The effective attraction between charge…

Superconductivity · Physics 2024-01-18 Valentin Crépel , Daniele Guerci , Jennifer Cano , J. H. Pixley , Andrew Millis

The non-Abelian topological order for superconductors is characterized by the existence of zero-energy Majorana fermions in edges of systems and in a vortex of a macroscopic condensate, which obey the non-Abelian statistics. This paper is…

Superconductivity · Physics 2010-12-13 Masatoshi Sato , Yoshiro Takahashi , Satoshi Fujimoto

We consider the coexistence of superconductivity(SC) and spin-density wave(SDW). The SC is presumed to be of $d_{x^2-y^2}+id_{xy} (d_1 + i d_2) $ type whereas the SDW order parameter is of $BCS$/$d_{x y} $ symmetry. The Hamiltonian having…

Superconductivity · Physics 2015-06-18 Amit Gupta , Debanand Sa

Magnetic atoms on a superconductor give rise to Yu-Shiba-Rusinov (YSR) states within the superconducting energy gap. A spin chain of magnetic adatoms on an s-wave superconductor may lead to topological superconductivity accompanied by the…

Superconductivity · Physics 2018-08-15 Anand Kamlapure , Lasse Cornils , Jens Wiebe , Roland Wiesendanger

Localized or propagating Majorana boundary modes are the key feature of topological superconductors. They are rare in naturally-occurring compounds, but the tailored manipulation of quantum matter offers opportunities for their realization.…

Topological insulator (TI) nanoribbons with proximity-induced superconductivity are a promising platform for Majorana bound states (MBSs). In this work, we consider a detailed modeling approach for a TI nanoribbon in contact with a…

Mesoscale and Nanoscale Physics · Physics 2023-02-23 Dennis Heffels , Declan Burke , Malcolm R. Connolly , Peter Schüffelgen , Detlev Grützmacher , Kristof Moors

After exploring much on two-dimensional higher-order topological superconductors (HOTSCs) hosting Majorana corner modes (MCMs) only, we propose a simple fermionic model based on a three-dimensional topological insulator proximized with…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Arnob Kumar Ghosh , Tanay Nag , Arijit Saha

The functionalized graphene with induced superconductivity, Zeeman coupling, and finite Rashba spin-orbit coupling is proposed to display topological superconducting phases with Majorana end modes. We obtain the phase diagram of bulk…

Mesoscale and Nanoscale Physics · Physics 2016-01-21 Zhen-Hua Wang , Eduardo V. Castro , Hai-Qing Lin

Experimental evidence was recently obtained for topological superconductivity in spin-orbit coupled nano wires in a magnetic field, proximate to an s-wave superconductor. When only part of the wire contacts the superconductor, a localized…

Strongly Correlated Electrons · Physics 2018-12-31 Ian Affleck , Domenico Giuliano

We analyze influence of a dimerization on the topological phases of the Rashba nanowire proximitized to a superconducting substrate. We find that periodic alternations of the hopping integral and spin-orbit coupling can lead to band…

Superconductivity · Physics 2020-02-14 Aksel Kobiałka , Nicholas Sedlmayr , Maciej M. Maśka , Tadeusz Domański

Experiments on planar Josephson junction architectures have recently been shown to provide an alternative way of creating topological superconductors hosting accessible Majorana modes. These zero-energy modes can be found at the ends of a…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 F. Setiawan , Chien-Te Wu , K. Levin

A quantum anomalous Hall system is predicted to realize topological superconductivity when proximity-coupled to an $s$-wave superconductor. A kagome magnet with chiral magnetic ordering exhibits the quantum anomalous Hall effect; however,…

Mesoscale and Nanoscale Physics · Physics 2026-02-10 Koji Kudo , Ryota Nakai , Hiroki Isobe , Kentaro Nomura

Noncentrosymmetric superconductors with strong spin-orbit coupling and the B phase of ${}^3$He are possible realizations of topological superconductors with time-reversal symmetry. The nontrivial topology of these time- reversal invariant…

Superconductivity · Physics 2015-01-27 Raquel Queiroz , Andreas P. Schnyder

We numerically analyze the effect of finite length of the superconducting regions on the low-energy spectrum, current-phase curves, and critical currents in junctions between trivial and topological superconductors. Such junctions are…

Mesoscale and Nanoscale Physics · Physics 2019-01-16 Jorge Cayao , Annica M. Black-Schaffer

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

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

Two-dimensional (2D) magnet-superconductor hybrid systems are intensively studied due to their potential for the realization of 2D topological superconductors with Majorana edge modes. It is theoretically predicted that this quantum state…

In superconductors, magnetic impurities induce a pair-breaking potential for Cooper pairs, which locally affects the Bogoliubov quasiparticles and gives rise to Yu-Shiba-Rusinov (YSR or Shiba, in short) bound states in the density of states…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 Benjamin W. Heinrich , Jose I. Pascual , Katharina J. Franke