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We investigate the local density of states, spectral function, and superconducting pair amplitudes for signatures of Majorana fermions in vortex cores in ferromagnetic and spin-orbit coupled semiconductor-superconductor heterostructures. We…

Superconductivity · Physics 2016-09-06 Kristofer Björnson , Annica M. Black-Schaffer

Motivated by the striking promise of quantum computation, Majorana bound states (MBSs) in solid-state systems have attracted wide attention in recent years. In particular, the wavefunction localization of MBSs is a key feature and crucial…

Atomic and Molecular Clusters · Physics 2016-12-07 Remy Pawlak , Marcin Kisiel , Jelena Klinovaja , Tobias Meier , Shigeki Kawai , Thilo Glatzel , Daniel Loss , Ernst Meyer

We consider the one-dimensional (1D) topological superconductor that may form in a planar superconductor-metal-superconductor Josephson junction in which the metal is is subjected to spin orbit coupling and to an in-plane magnetic field.…

Superconductivity · Physics 2019-03-27 Ady Stern , Erez Berg

A pair of Majorana zero modes (MZMs) constitutes a nonlocal qubit whose entropy is $\log 2$. Upon strongly coupling one of the constituent MZMs to a reservoir with a continuous density of states, a universal entropy change of…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 Eran Sela , Yuval Oreg , Stephan Plugge , Nikolaus Hartman , Silvia Lüscher , Joshua Folk

We report on several low temperature experiments supporting the presence of Majorana fermions in superconducting lead nanowires fabricated with a scanning tunneling microscope. These nanowires are the connecting bridges between the STM tip…

Superconductivity · Physics 2013-02-12 J. G. Rodrigo , V. Crespo , H. Suderow , S. Vieira , F. Guinea

Much of the current experimental efforts for detecting Majorana zero modes have been centered on probing the boundary of quantum wires with strong spin-orbit coupling. The same type of Majorana zero mode can also be realized at crystalline…

Superconductivity · Physics 2016-05-09 Suk Bum Chung , Cheung Chan , Hong Yao

Majorana 'zero-modes' are expected to be immune to decoherence. The primary method for their characterization in a 1D topological superconductor, is measuring the tunneling current into the edge of the superconductor. Presently, the…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 Anna Grivnin , Ella Bor , Moty Heiblum , Yuval Oreg , Hadas Shtrikman

Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers [1]. They are expected to exhibit non-Abelian particle statistics, in contrast to…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 S. M. Albrecht , A. P. Higginbotham , M. Madsen , F. Kuemmeth , T. S. Jespersen , J. Nygård , P. Krogstrup , C. M. Marcus

Topological superconductors can host Majorana quasiparticles which supersede the fermion/boson dichotomy and offer a pathway to fault tolerant quantum computation. In one-dimensional systems zero-energy Majorana states are bound to the ends…

The prospect of using semiconductor quantum dots as an experimental tool to distinguish Majorana zero modes (MZMs) from other zero-energy excitations such as Kondo resonances has brought up the fundamental question of whether topological…

Strongly Correlated Electrons · Physics 2020-03-04 Joelson F. Silva , Luis G. G. V. Dias da Silva , E. Vernek

A recent experiment [Nadj-Perge et al., Science 346, 602 (2014)] provides evidence for Majorana zero modes in iron (Fe) chains on the superconducting Pb(110) surface. Here, we study this system by scanning tunneling microscopy using…

Mesoscale and Nanoscale Physics · Physics 2015-11-09 Michael Ruby , Falko Pientka , Yang Peng , Felix von Oppen , Benjamin W. Heinrich , Katharina J. Franke

Realizing Majorana modes in topological superconductors, i.e., the condensed-matter counterpart of Majorana fermions in particle physics, may lead to a major advance in the field of topologically-protected quantum computation. Here, we…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Pasquale Marra , Daisuke Inotani , Muneto Nitta

We investigate the magnetic characteristics and tunnelling signatures of a planar Josephson junction with Rashba spin-orbit coupling during the fusion of two Majorana vortices. By employing the topological phase diagram and conducting…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 Krishnan Ganesh , Derek K. K. Lee , Jiannis K. Pachos

We numerically investigate non-Abelian braiding dynamics of vortices in two-dimensional topological superconductors, such as $s$-wave superconductors with Rashba spin-orbit coupling. Majorana zero modes (MZMs) hosted by the vortices…

Superconductivity · Physics 2021-02-16 Takumi Sanno , Shunsuke Miyazaki , Takeshi Mizushima , Satoshi Fujimoto

Braiding and fusion of Majorana zero modes are key elements of any future topological Majorana-based quantum computer. Here, we investigate the fusion dynamics of Majorana zero modes in the spinless Kitaev model, as well as in a spinful…

Mesoscale and Nanoscale Physics · Physics 2026-01-23 Themba Hodge , Tuan Kieu , Jasmin Bedow , Eric Mascot , Dirk K. Morr , Stephan Rachel

In this work we investigate the influence of a Fermi velocity modulation on the Fano factor of periodic and quasi-periodic graphene superlattices. We consider the continuum model and use the transfer matrix method to solve the Dirac-like…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Jonas R. F. Lima , Anderson L. R. Barbosa , C. G. Bezerra , Luiz Felipe C. Pereira

Motivated by a recent experimental report[1] claiming the likely observation of the Majorana mode in a semiconductor-superconductor hybrid structure[2,3,4,5], we study theoretically the dependence of the zero bias conductance peak…

Mesoscale and Nanoscale Physics · Physics 2013-01-09 Chien-Hung Lin , Jay D. Sau , S. Das Sarma

Symmetry-protected topological superconductors (TSCs) can host multiple Majorana zero modes (MZMs) at their edges or vortex cores, while whether the Majorana braiding in such systems is non-Abelian in general remains an open question. Here…

Mesoscale and Nanoscale Physics · Physics 2022-01-06 Jian-Song Hong , Ting-Fung Jeffrey Poon , Long Zhang , Xiong-Jun Liu

We theoretically analyze phonon-assisted tunneling transport in a quantum dot side connected to a Majorana bound state in a topological superconducting nanowire. We investigate the behavior of the current through the dot, for a range of…

Mesoscale and Nanoscale Physics · Physics 2024-08-07 Levente Máthé , Zoltán Kovács-Krausz , Ioan Botiz , Ioan Grosu , Khadija El Anouz , Abderrahim El Allati , Liviu P. Zârbo

Ordered assemblies of magnetic atoms on the surface of conventional superconductors can be used to engineer topological superconducting phases and realize Majorana fermion quasiparticles (MQPs) in a condensed matter setting. Recent…