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We analyze the formation of Majorana zero-modes at the edge of a two-dimensional topological superconductor. In particular, we study a time-reversal-invariant triplet phase that is likely to exist in doped Bi$_2$Se$_3$. Upon the…

Superconductivity · Physics 2017-08-23 Vo Tien Phong , Niels R. Walet , Francisco Guinea

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

Majorana corner modes appearing in two-dimensional second-order topological superconductors have great potential applications for fault-tolerant topological quantum computations. We demonstrate that in the presence of an in-plane magentic…

Superconductivity · Physics 2021-04-07 S. Ikegaya , W. B. Rui , D. Manske , Andreas P. Schnyder

A two-dimensional second-order topological superconductor exhibits a finite gap in both bulk and edges, with the nontrivial topology manifesting itself through Majorana zero modes localized at the corners, i.e., Majorana corner states. We…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Xiaoyu Zhu

We show that the presence of Majorana zero-modes in a one-dimensional topological superconductor can be detected by adiabatic cooling. This cooling effect results from an increase of the topological entropy associated with the ground state…

Mesoscale and Nanoscale Physics · Physics 2014-01-15 Chang-Yu Hou , Yafis Barlas , Kirill Shtengel

In one-dimensional topological superconductors driven periodically with the frequency $\omega$, two types of topological edge modes may appear, the well-known Majorana zero mode and a Floquet Majorana mode located at the quasi-energy $\hbar…

Mesoscale and Nanoscale Physics · Physics 2022-04-11 Anne Matthies , Jinhong Park , Erez Berg , Achim Rosch

We show that corner Majorana zero modes in a two-dimensional $p+id$ topological superconductor can be controlled by the manipulation of the parent $p-$wave superconducting order. Assuming that the $p$-wave superconducting order is in either…

Superconductivity · Physics 2022-02-09 Morten Amundsen , Vladimir Juričić

Majorana zero modes have been shown to be the simplest quasiparticles exhibiting pure odd-frequency pairing, an effect that has so far been theoretically established in the static regime. In this work, we investigate the formation of…

Superconductivity · Physics 2025-01-23 Eslam Ahmed , Shun Tamura , Yukio Tanaka , Jorge Cayao

We propose and investigate a new platform for the realization of Majorana zero modes in a thin-film heterostructure composed of an easy-plane ferromagnet and a superconductor with spin-orbit coupling. The system can support an energetically…

Superconductivity · Physics 2023-01-04 Vedangi Pathak , Sayak Dasgupta , Marcel Franz

Majorana zero mode is an exotic quasi-particle excitation with non-Abelian statistics in topological superconductor systems, and can serve as the cornerstone for topological quantum computation, a new type of fault-tolerant quantum…

Superconductivity · Physics 2022-04-27 Xianxin Wu , Rui-Xing Zhang , Gang Xu , Jiangping Hu , Chao-Xing Liu

Majorana edge modes are candidate elements of topological quantum computing. In this work, we purpose a Floquet engineering approach to generate arbitrarily many non-Hermitian Majorana zero and $\pi$ modes at the edges of a one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Longwen Zhou

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

A $d$-dimensional, $n$th-order topological insulator or superconductor has localized eigenmodes at its $(d-n)$-dimensional boundaries ($n\leq d$). In this work, we apply periodic driving fields to two-dimensional superconductors, and obtain…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Longwen Zhou

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

We show how Majorana end modes can be generated in a one-dimensional system by varying some of the parameters in the Hamiltonian periodically in time. The specific model we consider is a chain containing spinless electrons with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Manisha Thakurathi , Aavishkar A. Patel , Diptiman Sen , Amit Dutta

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

Floquet topological matter has emerged as one exciting platform to explore rich physics and game-changing applications of topological phases. As one remarkable and recently discovered feature of Floquet symmetry protected topological (SPT)…

Quantum Physics · Physics 2018-10-23 Raditya Weda Bomantara , Jiangbin Gong

We propose a protocol to detect topological phase transitions of one-dimensional $p$-wave superconductors from their harmonic emission spectrum in strong fields. Specifically, we identify spectral features due to radiating edge modes, which…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Niccolò Baldelli , Utso Bhattacharya , Daniel González-Cuadra , Maciej Lewenstein , Tobias Graß

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

One-dimensional topological superconductors are known to host Majorana zero modes at domain walls terminating the topological phase. Their nonabelian nature allows for processing quantum information by braiding operations which are…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Torsten Karzig , Gil Refael , Felix von Oppen
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