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We study the superconducting proximity effect on the helical edge states of time-reversal-symmetric fractional topological insulators(FTI). The Cooper pairing of electrons results in many-particle condensation of the fractionalized…

Strongly Correlated Electrons · Physics 2012-11-21 Meng Cheng

In this paper, we introduce a two-dimensional fractional topological superconductor (FTSC) as a strongly correlated topological state which can be achieved by inducing superconductivity into an Abelian fractional quantum Hall state, through…

Strongly Correlated Electrons · Physics 2013-01-28 Abolhassan Vaezi

We discuss the emergence of non-Abelian zero modes from twist defects in Abelian topological phases. We consider a setup built from a fractional quantum Hall (or a fractional Chern insulator)-superconductor heterostructure, which…

Strongly Correlated Electrons · Physics 2025-12-03 Gustavo M. Yoshitome , Pedro R. S. Gomes

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

Majorana bound states are zero-energy excitations of topological superconductors which obey non-Abelian exchange statistics and are basic building blocks for topological quantum computation. In order to observe and exploit their…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Alessio Calzona , Björn Trauzettel

We theoretically investigate the effect of intertube tunneling in topological superfluid phases of a quasi-one-dimensional Fermi gas with a Rashba-type spin-orbit interaction. It is shown that the effective Hamiltonian is analogous to that…

Mesoscale and Nanoscale Physics · Physics 2013-07-25 Takeshi Mizushima , Masatoshi Sato

We propose a method to create two-dimensional topological superconductors with a heterostructure of ferromagnet (FM), topological insulator (TI) thin film and superconductor, in which the two surfaces of the TI thin film are treated as a…

Superconductivity · Physics 2021-10-01 James Jun He , Tian Liang , Yukio Tanaka , Naoto Nagaosa

Topological superconductors are believed to host exotic quasiparticle excitations known as Majorana zero-modes, with much of the evidence based on BCS mean-field theory. The direct application of mean-field arguments is tenuous in finite,…

Strongly Correlated Electrons · Physics 2025-09-03 Jaden Thomas-Markarian , Kartiek Agarwal , Ivar Martin

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Tudor D. Stanescu , Sankar Das Sarma

Topological phases characterized by non-Abelian charges have garnered increasing attention recently. Although Floquet (periodic-driving) higher-order topological phases have been explored at the single-particle level, the role of…

Mesoscale and Nanoscale Physics · Physics 2025-08-22 Yujie Zhou , Changsen Li , Xiumei Wang , Xingping Zhou

We demonstrate that in two-dimensional noncentrosymmetric s-wave superconductors under applied magnetic fields for a particular electron density, topological order emerges, and there exists a zero energy Majorana fermion mode in a vortex…

Superconductivity · Physics 2009-11-13 Satoshi Fujimoto

Topological superconductors can support localized Majorana states at their boundaries. These quasi-particle excitations have non-Abelian statistics that can be used to encode and manipulate quantum information in a topologically protected…

Recently, superconductors with higher-order topology have stimulated extensive attention and research interest. Higher-order topological superconductors exhibit unconventional bulk-boundary correspondence, thus allow exotic…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Xiao-Ting Chen , Chun-Hui Liu , Dong-Hui Xu , Chui-Zhen Chen

Non-Abelian toplogical superconductors are characterized by the existence of {zero-energy} Majorana fermions bound in the quantized vortices. This is a consequence of the nontrivial bulk topology characterized by an {\em odd} Chern number.…

Strongly Correlated Electrons · Physics 2013-01-14 Jian-Hua Jiang , Si Wu

We propose a platform based on a fully compensated ferrimagnet (fFIM) for realizing and controlling topological superconductivity with Majorana bound states across multiple dimensions. Through symmetry analysis and microscopic modeling, we…

Superconductivity · Physics 2025-04-29 Yu-Xuan Li , Yicheng Liu , Cheng-Cheng Liu

We investigate the topological phases of two one-dimensional (1D) interacting superconducting wires and propose topological markers directly measurable from ground state correlation functions. These quantities remain powerful tools in the…

Strongly Correlated Electrons · Physics 2023-05-03 Frederick del Pozo , Loïc Herviou , Karyn Le Hur

Two-dimensional $p_x+ip_y$ topological superconductors host gapless Majorana edge modes, as well as Majorana bound states at the core of $h/2e$ vortices. Here we construct a model realizing the fractional counterpart of this phase: a…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Eran Sagi , Arbel Haim , Erez Berg , Felix von Oppen , Yuval Oreg

A $d$-dimensional second-order topological insulator (SOTI) can host topologically protected $(d - 2)$-dimensional gapless boundary modes. Here we show that a 2D non-Hermitian SOTI can host zero-energy modes at its corners. In contrast to…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Tao Liu , Yu-Ran Zhang , Qing Ai , Zongping Gong , Kohei Kawabata , Masahito Ueda , Franco Nori

Recently, it has been proposed that exotic one-dimensional phases can be realized by gapping out the edge states of a fractional topological insulator. The low-energy edge degrees of freedom are described by a chain of coupled parafermions.…

Strongly Correlated Electrons · Physics 2013-10-11 Johannes Motruk , Ari M. Turner , Erez Berg , Frank Pollmann

Parafermionic zero modes are non-Abelian excitations which have been predicted to emerge at the boundary of topological phases of matter. Contrary to earlier proposals, here we show that such zero modes may also exist in multilegged star…

Mesoscale and Nanoscale Physics · Physics 2022-04-14 Udit Khanna , Moshe Goldstein , Yuval Gefen
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