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We investigate the effect of correlated disorder on Majorana zero modes (MZMs) bound to magnetic vortices in two-dimensional topological superconductors. By starting from a lattice model of interacting fermions with a $p_x \pm i p_y$…

Superconductivity · Physics 2021-07-21 Casey Christian , Eugene F. Dumitrescu , Gábor B. Halász

We investigate theoretically a one-dimensional semiconductor-superconductor (SM-SC) heterostructure with Rashba spin-orbit coupling and parallel Zeeman field in the presence of disorder generated by random charged impurities and identify…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Binayyak B. Roy , Rimika Jaiswal , Tudor D. Stanescu , Sumanta Tewari

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

Majorana bound states (MBSs) located at the ends of a hybrid superconductor-semiconductor nanowire are only true zero modes if their characteristic localization length is much smaller than the nanowire length, $\xi_M\ll L$. Otherwise, their…

Mesoscale and Nanoscale Physics · Physics 2024-09-13 Carlos Payá , Pablo San-Jose , Carlos J. Sánchez Martínez , Ramón Aguado , Elsa Prada

Magnet-superconductor hybrid (MSH) systems represent promising platforms to host Majorana zero modes (MZMs), the elemental building blocks for fault-tolerant quantum computers. Theoretical description of such MSH structures is mostly based…

Current proposals for topological quantum computation (TQC) based on Majorana zero modes (MZM) have mostly been focused on coupled-wire architecture which can be challenging to implement experimentally. To explore alternative building…

Mesoscale and Nanoscale Physics · Physics 2024-06-03 Aidan Winblad , Hua Chen

To confirm the Majorana signatures, significant effort has been devoted to distinguishing between Majorana zero modes (MZMs) and spatially separated quasi-Majorana modes (QMMs). Because both MZMs and QMMs cause a quantized zero-bias peak in…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 Donghao Liu , Zhan Cao , Xin Liu , Hao Zhang , Dong E. Liu

Realizing topological superconductivity and Majorana zero modes in the laboratory is one of the major goals in condensed matter physics. We review the current status of this rapidly-developing field, focusing on semiconductor-superconductor…

Superconductivity · Physics 2018-05-11 R. M. Lutchyn , E. P. A. M. Bakkers , L. P. Kouwenhoven , P. Krogstrup , C. M. Marcus , Y. Oreg

We theoretically investigate the possibility of obtaining Majorana zero modes (MZMs) in penta-silicene nanoribbons (p-SiNRs) with induced \textit{p}-wave superconductivity. The model explicitly considers an external magnetic field…

We investigate the dynamics of a charge qubit consisting of two Coulomb-blockaded islands hosting Majorana zero modes. The frequency of the qubit is determined by coherent single-electron tunneling between two islands originating from the…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Jukka I. Väyrynen , Dmitry I. Pikulin , Roman M. Lutchyn

In a hybrid system consisting of two quantum dots (QDs) coupled to a superconductor (SC), zero-bias peaks in the differential conductance spectrum have been reported as potential signatures of Majorana fermions (MFs). However, such…

Mesoscale and Nanoscale Physics · Physics 2025-06-16 Zhi-Lei Zhang , Guo-Jian Qiao , C. P. Sun

Quantum bits based on Majorana zero modes are expected to be robust against certain noise types, and hence provide a quantum computing platform that is superior to conventional qubits. This robustness is not complete though: imperfections…

Mesoscale and Nanoscale Physics · Physics 2022-01-26 Péter Boross , András Pályi

In a variety of rare-earth based compounds singlet superconductivity coexists with helical magnetism. Here we demonstrate that surfaces of these systems should generically host a finite density of zero-energy Majorana modes. In the limit of…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Ivar Martin , Alberto F. Morpurgo

Majorana zero modes (MZMs), fundamental building blocks for realizing topological quantum computers, can appear at the interface between a superconductor and a topological material. One of the experimental signatures that has been widely…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 W. Yu , Rafael Haenel , M. A. Rodriguez , S. R. Lee , F. Zhang , M. Franz , D. I. Pikulin , W. Pan

Majorana particles are the same as their antiparticle, and their analogues in condensed matter may be a platform for quantum computing. We describe the search for these modes in semiconductor heterostructures and how disorder is a limiting…

Mesoscale and Nanoscale Physics · Physics 2023-02-16 Sankar Das Sarma

Conductance at zero source-drain voltage bias in InSb nanowire/NbTiN superconductor devices exhibits peaks that are close to a quantized value of $2e^2/h$. The nearly quantized resonances evolve in the tunnel barrier strength, magnetic…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 P. Yu , J. Chen , M. Gomanko , G. Badawy , E. P. A. M. Bakkers , K. Zuo , V. Mourik , S. M. Frolov

After a recent series of rapid and exciting developments, the long search for the Majorana fermion - the elusive quantum entity at the border between particles and antiparticles - has produced the first positive experimental results, but is…

Superconductivity · Physics 2013-05-14 Tudor D. Stanescu , Sumanta Tewari

Majorana zero modes in condensed matter systems have been the subject of much interest in recent years. Their non-Abelian exchange statistics, making them a unique state of matter, and their potential applications in topological quantum…

Mesoscale and Nanoscale Physics · Physics 2022-01-26 Omri Lesser , Yuval Oreg

Topologically protected Majorana zero modes (MZMs) have attracted intense interest due to their potential application in fault-tolerant quantum computation (TQC). Graphene nanoribbons, with tunable edge terminations and compatibility with…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Shubhanshu Karoliya , Sumanta Tewari , Gargee Sharma

We discuss the feasibility of measurement-based braiding in semiconductor-superconductor (SM-SC) heterostructures in the so-called quasi-Majorana regime $-$ the topologically-trivial regime due to partially-separated Andreev bound states…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Chuanchang Zeng , Gargee Sharma , Tudor D. Stanescu , Sumanta Tewari