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We study a single vortex in a two-dimensional $p+ip$ Fermi superfluid interacting with a Bose-Einstein condensate. The Fermi superfluid is topologically non-trivial and hosts a zero-energy Majorana bound state at the vortex core. Assuming a…

Quantum Gases · Physics 2018-12-05 Jing-Bo Wang , Wei Yi , Jian-Song Pan

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

We propose a route for pinning zero-field superconducting vortices in systems which are exchange-coupled to magnetic islands and feature Rashba spin-orbit coupling. We consider islands with sizes which greatly exceed those of the vortex…

Superconductivity · Physics 2026-03-16 Panagiotis Kotetes , Brian M. Andersen

We present a pedagogical review of topological superconductivity and its consequences in spin-orbit coupled semiconductor/superconductor heterostructures. We start by reviewing the historical origins of the notions of Dirac and Majorana…

Superconductivity · Physics 2022-09-22 Jay Sau , Sumanta Tewari

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

Majorana zero modes have gained significant interest due to their potential applications in topological quantum computing and in the realization of exotic quantum phases. These zero-energy quasiparticle excitations localize at the vortex…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 Pasquale Marra , Daisuke Inotani , Takeshi Mizushima , Muneto Nitta

Proposed approaches to topological quantum computation based on Majorana bound states may enable new paths to fault-tolerant quantum computing. Several recent experiments have suggested that the vortex cores of topological superconductors,…

Superconductivity · Physics 2021-09-08 Chengyun Hua , Gábor B. Halász , Eugene Dumitrescu , Matthew Brahlek , Benjamin Lawrie

Among the different platforms to engineer Majorana fermions in one-dimensional topological superconductors, topological insulator nanowires remain a promising option. Threading an odd number of flux quanta through these wires induces an odd…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Fernando de Juan , Jens H. Bardarson , Roni Ilan

We study a heterostructure which consists of a topological insulator and a superconductor with a hole. The hole pins a vortex. The system supports a robust Majorana fermion state bound to the vortex core. We investigate the possibility of…

Strongly Correlated Electrons · Physics 2014-03-26 R. S. Akzyanov , A. V. Rozhkov , A. L. Rakhmanov , Franco Nori

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

Realizing Majorana modes in topological superconductors, i.e., the condensed-matter counterpart of Majorana fermions in particle physics, may lead to a major advance in the field of topologically-protected quantum computation. Here, we…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Pasquale Marra , Daisuke Inotani , Muneto Nitta

Among the major approaches that are being pursued for realizing quantum bits, the Majorana-based platform has been the most recent to be launched. It attempts to realize qubits which store quantum information in a topologically-protected…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Karsten Flensberg , Felix von Oppen , Ady Stern

Motivated by a recent experiment on superfluid 3He-A confined in narrow parallel plates using a rotating cryostat, we explore possible vortices stable under magnetic field applied to arbitrary angle relative to the plates in order to seek…

Superconductivity · Physics 2010-04-15 Takuto Kawakami , Yasumasa Tsutsumi , Kazushige Machida

We present a novel controllable platform for engineering Majorana zero modes. The platform consists of a ferromagnetic metallic wire placed among conventional superconductors, which are in proximity to ferromagnetic insulators. We…

Superconductivity · Physics 2021-12-01 Giorgos Livanas , Nikolaos Vanas , Georgios Varelogiannis

The observation of zero-bias conductance peaks in vortex cores of certain Fe-based superconductors has sparked renewed interest in vortex-bound Majorana states. These materials are believed to be intrinsically topological in their bulk…

Superconductivity · Physics 2023-09-13 Zhibo Ren , Justin Copenhaver , Leonid Rokhinson , Jukka I. Väyrynen

We propose that the existence of vortices in FeSe$_{1-x}$Te$_x$ with and without Majoarana zero modes (MZMs) can be explained by a heterogeneous mixture of strong topological and trivial superconducting domains, with only vortices in the…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 Prashant Gupta , Jasmin Bedow , Eric Mascot , Dirk K. Morr

The concept of topological superconductivity has attracted immense interest in the physics community recently for several reasons: First, topological superconductors represent new phases of matter, topologically distinct from any other…

Superconductivity · Physics 2023-11-07 Fabian O. von Rohr

Majorana bound states are putative collective excitations in solids that exhibit the self-conjugate property of Majorana fermions - they are their own antiparticles. In iron-based superconductors, zero-energy states in vortices have been…

We consider the one-dimensional (1D) topological superconductor that may form in a planar superconductor-metal-superconductor Josephson junction in which the metal is is subjected to spin orbit coupling and to an in-plane magnetic field.…

Superconductivity · Physics 2019-03-27 Ady Stern , Erez Berg

After a recent series of rapid and exciting developments, the long search for the Majorana fermion - the elusive quantum entity at the border between particles and antiparticles - has produced the first positive experimental results, but is…

Superconductivity · Physics 2013-05-14 Tudor D. Stanescu , Sumanta Tewari