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We consider a heterostructure of semiconductor layers sandwiched between two superconductors, forming a two-dimensional Josephson junction. Applying a Zeeman field perpendicular to the junction can render a topological superconducting phase…

Mesoscale and Nanoscale Physics · Physics 2021-04-27 Shao-Kai Jian , Shuai Yin

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

The chiral edge modes of a topological superconductor support two types of excitations: fermionic quasiparticles known as Majorana fermions and $\pi$-phase domain walls known as edge vortices. Edge vortices are injected pairwise into…

Superconductivity · Physics 2020-11-24 C. W. J. Beenakker , D. O. Oriekhov

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…

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 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

As part of the intense effort towards identifying platforms in which Majorana bound states can be realized and manipulated to perform qubit operations, we propose a topological Josephson junction architecture that achieves these…

Mesoscale and Nanoscale Physics · Physics 2020-11-03 Suraj S. Hegde , Guang Yue , Yuxuan Wang , Erik Huemiller , D. J. Van Harlingen , Smitha Vishveshwara

We investigate dissipation-induced p-wave paired states of fermions in two dimensions and show the existence of spatially separated Majorana zero modes in a phase with vanishing Chern number. We construct an explicit and natural model of a…

Quantum Gases · Physics 2013-03-07 C. -E. Bardyn , M. A. Baranov , E. Rico , A. Imamoglu , P. Zoller , S. Diehl

We propose a systematic magnetic-flux-free approach to detect, manipulate and braid Majorana fermions in a semiconductor nanowire-based topological Josephson junction by utilizing the Majorana spin degree of freedom. We find an intrinsic…

Superconductivity · Physics 2016-07-18 Xin Liu , Xiaopeng Li , Dong-Ling Deng , Xiong-Jun Liu , S. Das Sarma

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

We propose a hierarchical architecture for building "logical" Majorana zero modes using "physical" Majorana zero modes at the Y-junctions of a hexagonal network of semiconductor nanowires. Each Y-junction contains three "physical"…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Zhi-Cheng Yang , Thomas Iadecola , Claudio Chamon , Christopher Mudry

It has been widely believed that half quantum vortices are indispensable to realize topological stable Majorana zero modes and non-Abelian anyons in spinful superconductors/superfluids. Contrary to this wisdom, we here demonstrate that…

Superconductivity · Physics 2015-06-16 Masatoshi Sato , Ai Yamakage , Takeshi Mizushima

Topological superconductors can host Majorana quasiparticles which supersede the fermion/boson dichotomy and offer a pathway to fault tolerant quantum computation. In one-dimensional systems zero-energy Majorana states are bound to the ends…

After a decade of intense theoretical and experimental efforts, demonstrating braiding of Majorana modes remains an unsolved problem in condensed matter physics due to platform specific challenges. In this work, we propose topological…

Mesoscale and Nanoscale Physics · Physics 2022-10-20 Shiva T. Konakanchi , Jukka I. Väyrynen , Yong P. Chen , Pramey Upadhyaya , Leonid P. Rokhinson

We provide a current perspective on the rapidly developing field of Majorana zero modes in solid state systems. We emphasize the theoretical prediction, experimental realization, and potential use of Majorana zero modes in future…

Strongly Correlated Electrons · Physics 2015-11-09 Sankar Das Sarma , Michael Freedman , Chetan Nayak

We present calculations of Majorana edge modes in cylindrical nanowires of a semiconductor material with proximity-induced superconductivity. We consider a Rashba field along the transverse direction and an applied magnetic field in…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 Jong Soo Lim , Rosa López , Llorenç Serra

We study Majorana zero modes bound to giant vortices in topological superconductors or topological insulator/normal superconductor heterostructures. By expanding in inverse powers of a large winding number $n$, we find an analytic solution…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Logan Gates , Alexander A. Penin

We propose theoretically an effective scheme for braiding Majorana bound states by manipulating the point potential. The vortex pinning effect is carefully elucidated. This effect may be used to control the vortices and Majorana bound…

Superconductivity · Physics 2017-11-15 Hai-Dan Wu , Tao Zhou

We discuss fermionic zero modes in the two-dimensional chiral p-wave superconductors. We show quite generally, that without fine-tuning, in a macroscopic sample there is only one or zero of such Majorana-fermion modes depending only on…

Superconductivity · Physics 2007-07-03 V. Gurarie , L. Radzihovsky

We present a scheme to use physical Majorana quasi-zero modes at each junction of a two-dimensional nanowire network to build a logical Majorana zero mode, the location of which is controllable through gate voltages. The wire-network is a…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Sayandip Dhara , Garry Goldstein , Claudio Chamon , Eduardo R. Mucciolo