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Majorana zero modes are fractional quantum excitations appearing in pairs, each pair being a building block for quantum computation . Some possible signatures of these excitations have been reported as zero bias peaks at endpoints of…

Majorana fermions are predicted to play a crucial role in condensed matter realizations of topological quantum computation. These heretofore undiscovered quasiparticles have been predicted to exist at the cores of vortex excitations in…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Hsiang-Hsuan Hung , Pouyan Ghaemi , Taylor L. Hughes , Matthew J. Gilbert

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

We study one-dimensional topological superconductivity in the presence of time-reversal symmetry. This phase is characterized by having a bulk gap, while supporting a Kramers' pair of zero-energy Majorana bound states at each of its ends.…

Mesoscale and Nanoscale Physics · Physics 2016-09-15 Arbel Haim , Konrad Wölms , Erez Berg , Yuval Oreg , Karsten Flensberg

In this work we consider superconductor-semiconductor hybrids containing both trivial and Majorana zero modes and explore their signatures in the Majorana polarization. In particular, we consider trivial zero energy states due to…

Mesoscale and Nanoscale Physics · Physics 2024-10-04 Oladunjoye A. Awoga , Jorge Cayao

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

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

Higher-order topological phases are gapped phases of matter that host gapless corner or hinge modes. For the case of superconductors, corner or hinge modes are gapless Majorana modes or Majorana zero modes. To construct 3d higher-order…

Superconductivity · Physics 2023-12-13 Ryota Nakai , Kentaro Nomura

In this paper, we investigate the non-Markovian quantum transport dynamics of a two-terminal Majorana device that is made of an asymmetric topological superconducting chain coupled to two leads. This asymmetric superconducting chain is…

Strongly Correlated Electrons · Physics 2022-07-20 Chuan-Zhe Yao , Wei-Min Zhang

As the condensed matter analog of Majorana fermion, the Majorana zero-mode is well known as a building block of fault-tolerant topological quantum computing. This review focuses on the recent progress of Majorana experiments, especially…

Mesoscale and Nanoscale Physics · Physics 2024-03-21 Ji-Bang Fu , Bin Li , Xin-Fang Zhang , Guang-Zheng Yu , Guang-Yao Huang , Ming-Tang Deng

Solid-state experimental realizations of Majorana bound states are based on materials with strong intrinsic spin-orbit interactions. In this paper, we explore an alternative approach where spin-orbit coupling is induced artificially through…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Sara Turcotte , Samuel Boutin , Julien Camirand Lemyre , Ion Garate , Michel Pioro-Ladrière

Topological materials are of great interest for applications in quantum computing, providing intrinsic robustness against environmental noises. A popular direction is to look for Majorana modes in integrated systems interfaced with…

Mesoscale and Nanoscale Physics · Physics 2018-02-19 Zhigang Song

The external controllability of topological superconductors and Majorana fermions would be important both for fundamental and practical interests. Here we predict the electric-field control of Majorana fermions in two-dimensional…

Superconductivity · Physics 2016-12-07 Jing Wang

We present a new scheme for Majorana modes in systems with nonsymmporhic-symmetry-protected band degeneracy. We reveal that when the gapless fermionic excitations are encoded with conventional superconductivity and magnetism, which can be…

Superconductivity · Physics 2024-10-10 Zhongyi Zhang , Zhenfei Wu , Chen Fang , Fu-chun Zhang , Jiangping Hu , Yuxuan Wang , Shengshan Qin

The search for a Majorana Fermion has been an area of intense interest in condensed matter research of late. This elusive particle, predicted to exist in 1937, has been sought after for both fundamental and practical reasons. On the…

Superconductivity · Physics 2013-08-20 Aaron Farrell

We study topological vortex phases in iron-based superconductors. Besides the previously known vortex end Majorana zero modes (MZMs) phase stemming from the existence of a three dimensional (3D) strong topological insulator state, we show…

Superconductivity · Physics 2019-09-05 Shengshan Qin , Lunhui Hu , Xianxin Wu , Xia Dai , Chen Fang , Fu-chun Zhang , Jiangping Hu

Finding a clear signature of topological superconductivity in transport experiments remains an outstanding challenge. In this work, we propose exploiting the unique properties of three-dimensional topological insulator nanowires to generate…

Mesoscale and Nanoscale Physics · Physics 2014-09-10 Fernando de Juan , Roni Ilan , Jens H. Bardarson

Performing Monte Carlo simulations we study the temperature dependent self--organization of magnetic moments coupled to itinerant electrons in a finite--size one--dimensional nanostructure proximitized to a superconducting reservoir. At low…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Anna Gorczyca-Goraj , Tadeusz Domanski , Maciej M. Maska

The coexistence of superconductivity and topology holds the potential to realize exotic quantum states of matter. Here we report that superconductivity induced by high pressure in three thallium-based materials, covering the phase…

Superconducting heterostructures with spin-active materials have emerged as promising platforms for engineering topological superconductors featuring Majorana bound states at surfaces, edges and vortices. Here we present a method for…

Superconductivity · Physics 2012-08-09 Jens Michelsen , Roland Grein