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Motivated by recent experiments searching for Majorana zero modes in tripartite semiconductor nanowires with epitaxial superconductor and ferromagnetic-insulator layers, we explore the emergence of topological superconductivity in such…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Josias Langbehn , Sergio Acero Gonzalez , Piet W. Brouwer , Felix von Oppen

Majorana fermions (MFs) are predicted to occur as zero-energy bound states in semiconductor nanowire-superconductor structures. However, in the presence of disorder or smooth confining potentials, these structures can also host…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 T. D. Stanescu , Sumanta Tewari

There has been recent interest in superconductor-magnetic insulator hybrid Rashba nanowire setups for potentially hosting Majorana zero modes at smaller external Zeeman fields. Using the non-equilibrium Green's function technique, we…

Mesoscale and Nanoscale Physics · Physics 2023-01-27 Roshni Singh , Bhaskaran Muralidharan

Engineering chiral $p$-wave superconductivity in semiconductor structures offers fascinating ways to obtain and study Majorana modes in a condensed matter context. Here, we theoretically investigate chiral $p$-wave superconductivity in…

Mesoscale and Nanoscale Physics · Physics 2015-04-15 Benedikt Scharf , Igor Žutić

Realizations of Majorana fermions in solid state materials have attracted great interests recently in connection to topological order and quantum information processing. We propose a novel way to create Majorana fermions in superconductors.…

Strongly Correlated Electrons · Physics 2013-03-04 Yuan-Ming Lu , Ziqiang Wang

Higher-order topological superconductors host Majorana zero modes localized at corners or hinges, providing a promising route toward scalable and controllable Majorana networks without vortices or magnetic flux. Here we propose a…

Superconductivity · Physics 2026-02-06 Yongting Shi , Qing Wang , Zhen-Guo Fu , Ping Zhang , Ning Hao

We propose a simple model consisting of a magnetic domain wall proximity-coupled to an $s$-wave superconductor for realization of Majorana zero-energy modes. A spin-dependent gauge transformation translates the rotating magnetic profile…

Strongly Correlated Electrons · Physics 2016-03-24 Babak Zare Rameshti , Yaser Hajati , Imam Makhfudz

Topological quantum computing and Majorana bound states were initially theorized between 2000 and 2010. These concepts gradually transitioned to practical implementations during the subsequent decade (2010-2020). Various directions have…

Mesoscale and Nanoscale Physics · Physics 2024-06-26 Leo Kouwenhoven

A monolayer of the high-$T_c$ superconductor FeTe$_{1-x}$Se$_x$ has been predicted to realize a topologically non-trivial state with helical edge modes at its boundary, providing a novel intrinsic system to search for topological…

Superconductivity · Physics 2022-04-27 Xianxin Wu , Xin Liu , Ronny Thomale , Chao-Xing Liu

Majorana zero modes are central to the pursuit of fault-tolerant topological quantum computation. While traditionally sought in one-dimensional hybrid nanowires, a robust alternative platform involves heterostructures combining…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 A. S. Slobodskoi , S. S. Apostoloff , I. S. Burmistrov

We provide an argument based on flux insertion to show that certain superconductors with a non-trivial topological invariant have protected zero modes in their vortex cores. This argument has the flavor of a two dimensional index theorem…

Superconductivity · Physics 2015-05-18 Rahul Roy

A counting formula for computing the number of (Majorana) zero modes bound to topological point defects is evaluated in a gradient expansion for systems with charge-conjugation symmetry. This semi-classical counting of zero modes is applied…

Superconductivity · Physics 2015-03-17 Luiz Santos , Yusuke Nishida , Claudio Chamon , Christopher Mudry

We propose and analyze theoretically an experimental setup for detecting the elusive Majorana particle in semiconductor-superconductor heterostructures. The experimental system consists of one-dimensional semiconductor wire with strong…

Superconductivity · Physics 2010-08-16 Roman M. Lutchyn , Jay D. Sau , S. Das Sarma

As one of the simplest systems for realizing Majorana fermions, topological superconductor plays an important role in both condensed matter physics and quantum computations. Based on \emph{ab~initio} calculations and the analysis of an…

Superconductivity · Physics 2016-09-06 Gang Xu , Biao Lian , Peizhe Tang , Xiao-Liang Qi , Shou-Cheng Zhang

A new method is introduced for probing Topological Superconductors. The integration of the superconding fermions generates a topological $\mathbf{Chern-Simons}$ sound action . Dislocations induce Majorana zero modes inside the sample,…

Superconductivity · Physics 2015-01-27 D. Schmeltzer

We study Majorana zero modes bound to giant vortices in topological superconductors or topological insulator/normal superconductor heterostructures. By expanding in inverse powers of a large winding number $n$, we find an analytic solution…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Logan Gates , Alexander A. Penin

Experimental signatures of Majorana zero modes in a single superconducting quantum wire with spin-orbit coupling have been reported as zero bias peaks in the tunneling spectroscopy. We study whether these zero modes can persist in an array…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Da Wang , Zhoushen Huang , Congjun Wu

Recent experiments have observed bulk superconductivity in doped topological insulators. Here we ask whether vortex Majorana zero modes, previously predicted to occur when superconductivity is induced on the surface of topological…

Superconductivity · Physics 2015-03-17 Pavan Hosur , Pouyan Ghaemi , Roger S. K. Mong , Ashvin Vishwanath

We aim to study a one-dimensional $p$-wave superconductor with quasiperiodic on-site potentials. A modified real-space-Pfaffian method is applied to calculate the topological invariants. We confirm that the Majorana zero mode is protected…

Disordered Systems and Neural Networks · Physics 2021-07-20 Shujie Cheng , Yufei Zhu , Gao Xianlong , Tong Liu

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
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