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The interplay of the electron exchange interaction and spin-orbit coupling results in spontaneous supercurrents near magnetic insulator islands, which are placed on the top of a two-dimensional (2D) superconductor, and whose magnetization…

Superconductivity · Physics 2020-10-14 A. G. Mal'shukov

We study a new type of three-dimensional topological superconductors that exhibit Majorana zero modes (MZM) protected by a magnetic group symmetry, a combined antiunitary symmetry composed of a mirror reflection and time-reversal. This new…

Mesoscale and Nanoscale Physics · Physics 2014-03-12 Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

The Majorana zero mode (MZM), which manifests as an exotic neutral excitation in superconductors, is the building block of topological quantum computing. It has recently been found in the vortices of several iron-based superconductors as a…

Superconductivity · Physics 2019-04-11 C. Chen , Q. Liu , T. Z. Zhang , D. Li , P. P. Shen , X. L. Dong , Z. -X. Zhao , T. Zhang , D. L. Feng

We study the vortex zero-energy bound states in presence of pairing among the low-energy Dirac fermions on the surface of a topological insulator. The pairing symmetries considered include the $s$-wave, $p$-wave, and, in particular, the…

Superconductivity · Physics 2010-10-11 Chi-Ken Lu , Igor F. Herbut

Majorana quasiparticles (MQPs) in condensed matter play an important role in strategies for topological quantum computing but still remain elusive. Vortex cores of topological superconductors may accommodate MQPs that appear as the…

Superconductivity · Physics 2019-07-23 T. Machida , Y. Sun , S. Pyon , S. Takeda , Y. Kohsaka , T. Hanaguri , T. Sasagawa , T. Tamegai

In this work, we establish a new theoretical paradigm for vortex Majorana physics in the recently discovered topological iron-based superconductors (tFeSCs). While tFeSCs are widely accepted as an exemplar of topological insulators (TIs)…

Superconductivity · Physics 2023-01-02 Lun-Hui Hu , Xianxin Wu , Chao-Xing Liu , Rui-Xing Zhang

We study the energy spectrum of a vortex core in a two-dimensional semiconductor with Rashba spin-orbit interaction and proximity-coupled to a conventional superconductor and a ferromagnetic insulator. We perform self-consistent…

Superconductivity · Physics 2013-07-08 Kristofer Björnson , Annica M. Black-Schaffer

Due to the charge neutral and localized nature of surface Majorana modes, detection schemes usually rely on local spectroscopy or interference through the Josephson effect. Here, we theoretically study the magnetic response of a…

Superconductivity · Physics 2018-09-20 Luca Chirolli , Francisco Guinea

Braiding Majorana zero modes is essential for fault-tolerant topological quantum computing. Iron-based superconductors with nontrivial band topology have recently emerged as a surprisingly promising platform for creating distinct Majorana…

Although the appearance of vortex-localized states with zero energy in first-order topological superconductors is well known, their possibility to form in the higher-order topological phase of 2D systems has not been completely uncovered…

Superconductivity · Physics 2025-06-06 A. D. Fedoseev , A. O. Zlotnikov

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

In type-II superconductors, magnetic fields modulate the amplitude and phase of the superconducting order parameter, forming quantized vortices where superconductivity is locally suppressed and exotic bound states or competing electronic…

We study two-dimensional fundamental and vortex solitons in polariton condensates with spin-orbit coupling and Zeeman splitting evolving in square arrays of microcavity pillars. Due to repulsive excitonic nonlinearity such states are…

Optics · Physics 2016-11-23 Yaroslav V. Kartashov , Dmitry V. Skryabin

There is considerable interest in the intersection of correlations and topology, especially in metallic systems. Among the outstanding questions are how strong correlations drive novel topological states and whether such states can be…

Strongly Correlated Electrons · Physics 2021-05-05 Sarah E. Grefe , Hsin-Hua Lai , Silke Paschen , Qimiao Si

FeSeTe has recently emerged as a leading candidate material for the two-dimensional topological superconductivity (TSC). Two reasons for the excitement are the high $T_c$ of the system and the fact that the Majorana zero modes (MZMs) inside…

Superconductivity · Physics 2021-01-27 Xianxin Wu , Suk Bum Chung , Chao-xing Liu , Eun-Ah Kim

A time-reversal (TR) invariant topological superconductor is characterized by a Kramers pair of Majorana zero-energy modes on boundaries and in a core of a TR invariant vortex. A vortex defect that preserves TR symmetry has remained…

Superconductivity · Physics 2017-06-06 Fengcheng Wu , Ivar Martin

Vortices in chiral topological superconductors are known for trapping Majorana zero modes as a signature response to their bulk-state topologies. In this work, we establish a similar bulk-vortex correspondence for two-dimensional…

Strongly Correlated Electrons · Physics 2022-08-04 Rui-Xing Zhang

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

The combination of two-dimensional Dirac surface states with s-wave superconductivity is expected to generate localized topological Majorana zero modes in vortex cores. Putative experimental signatures of these modes have been reported for…

Mesoscale and Nanoscale Physics · Physics 2022-07-18 Björn Sbierski , Max Geier , An-Ping Li , Matthew Brahlek , Robert G. Moore , Joel E. Moore

In the present study topologically nontrivial edge and vortex bound states are described in the coexistence phase of chiral spin-singlet superconductivity and noncollinear spin ordering on a triangular lattice in the presence of few (up to…

Superconductivity · Physics 2023-04-27 A. O. Zlotnikov