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Majorana bound states are interesting candidates for applications in topological quantum computation. Low energy models allowing to grasp their properties are hence conceptually important. The usual scenario in these models is that two…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 N. Traverso Ziani , C. Fleckenstein , L. Vigliotti , B. Trauzettel , M. Sassetti

We investigate the inhomogeneous Rashba chain coupled to a superconducting substrate, hosting the Majorana quasiparticles near its edges. We discuss its subgap spectrum and study how robust are the zero-energy quasiparticles against the…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 M. M. Maska , A. Gorczyca-Goraj , J. Tworzydlo , T. Domanski

A recent experiment [Nadj-Perge et al., Science 346, 602 (2014)] gives possible evidence for Majorana bound states in chains of magnetic adatoms placed on a superconductor. While many features of the observed end states are naturally…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Yang Peng , Falko Pientka , Leonid I. Glazman , Felix von Oppen

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

We revisit the problem of Majorana states in chains of scalar impurities deposited on a superconductor with a mixed s-wave and p-wave pairing. We also study the formation of Majorana states for magnetic impurity chains. We find that the…

Superconductivity · Physics 2022-01-11 Nicholas Sedlmayr , Cristina Bena

Edge states forming at the boundaries of topologically non-trivial phases of matter are promising candidates for future device applications because of their stability against local perturbations. Magnetically ordered spin chains…

Superconductivity · Physics 2023-05-31 Lucas Schneider , Philip Beck , Levente Rózsa , Thore Posske , Jens Wiebe , Roland Wiesendanger

Motivated by recent proposals to realize Majorana bound states in chains and arrays of magnetic atoms deposited on top of a superconductor, we study the topological properties of various chain structures, ladders and two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Kim Pöyhönen , Alex Westström , Joel Röntynen , Teemu Ojanen

We study a double quantum dot connected via a common superconducting lead and show that this system can be tuned to host one Majorana bound state (MBS) on each dot. We call them "poor man's Majorana bound states" since they are not…

Mesoscale and Nanoscale Physics · Physics 2013-01-10 Martin Leijnse , Karsten Flensberg

We study the formation of Majorana states in quasi-1D and 2D square lattices with open boundary conditions, with general anisotropic Rashba coupling, in the presence of an applied Zeeman field and in the proximity of a superconductor. For…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 N. Sedlmayr , J. M. Aguiar-Hualde , C. Bena

We study Majorana zero modes properties in cylindrical cross-section semiconductor quantum wires based on the $k \cdot p$ theory and a discretized lattice model. Within this model, the influence of disorder potentials in the wire and…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 Chao Lei , Guru Khalsa , Jiangfeng Du , Allan H. MacDonald

Spin-helical states, which arise in quasi-one-dimensional (1D) channels with spin-orbital (SO) coupling, underpin efforts to realize topologically-protected quantum bits based on Majorana modes in semiconductor nanowires. Detecting helical…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Zedong Yang , Paul A. Crowell , Vlad S. Pribiag

We explore possible signatures for observing Majorana Fermions in the tunneling spectroscopy of high-Tc cuprate superconductors. We find that as long as the Rashba spin orbit interaction is in presence either through proximity effect due to…

Superconductivity · Physics 2015-06-24 Jun-Ting Kao , Shin-Ming Huang , Chung-Yu Mou , C. C. Tsuei

We consider a Rashba nanowire with proximity gap which can be brought into the topological phase by tuning external magnetic field or chemical potential. We study spin and charge of the bulk quasiparticle states when passing through the…

Mesoscale and Nanoscale Physics · Physics 2017-07-19 Paweł Szumniak , Denis Chevallier , Daniel Loss , Jelena Klinovaja

The remarkable properties and potential applications of Majorana fermions have led to considerable efforts in recent years to realize topological matters that host these excitations. For a number-conserving system, there have been a few…

Quantum Gases · Physics 2019-01-10 X. Y. Yin , Tin-Lun Ho , Xiaoling Cui

Majorana bound states are expected to appear in one-dimensional semiconductor-superconductor hybrid systems, provided they are homogenous enough to host a global topological phase. In order to experimentally investigate the uniformity of…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 Qingzhen Wang , Yining Zhang , Saurabh Karwal , Srijit Goswami

We suggest a way to overcome the obstacles that disorder and high density of states pose to the creation of unpaired Majorana fermions in one-dimensional systems. This is achieved by splitting the system into a chain of quantum dots, which…

Mesoscale and Nanoscale Physics · Physics 2015-10-12 Ion C. Fulga , Arbel Haim , Anton R. Akhmerov , Yuval Oreg

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

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

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

The bulk-boundary correspondence establishes a connection between the bulk topological index of an insulator or superconductor, and the number of topologically protected edge bands or states. For topological superconductors in two…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Nicholas Sedlmayr , Vardan Kaladzhyan , Clément Dutreix , Cristina Bena