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Majorana bound states exist inside a core of half-quantum vortex in spin-triplet superconductors. Despite intense efforts, they have not been discovered in any spin-triplet superconductor candidate materials. After the success of…

Mesoscale and Nanoscale Physics · Physics 2018-03-07 Yige Chen , Hae-Young Kee

This short review article provides a pedagogical introduction to the rapidly growing research field of Majorana fermions in topological superconductors. We first discuss in some details the simplest "toy model" in which Majoranas appear,…

Mesoscale and Nanoscale Physics · Physics 2013-01-09 Martin Leijnse , Karsten Flensberg

Majorana modes and fractional fermions are two types of edge zero modes appearing separately in topological superconductors and dimerized chains. Here we reveal how to harvest both types of edge modes simultaneously in an exotic chain. Such…

Strongly Correlated Electrons · Physics 2016-02-04 Dan-bo Zhang , Qiang-Hua Wang , Z. D. Wang

We explore the impact of commensurate multifrequency driving protocols on the stability of topological edge modes in topological 1D systems of spinless fermions. Using Floquet theory, we show that all the topological phase transitions can…

Strongly Correlated Electrons · Physics 2021-01-04 Paolo Molignini

We propose a planar Josephson junction setup to host Majorana modes where the semiconductor is sandwiched between superconductors on both surfaces. While the studied configuration is related to both devices proposed for use with topological…

Superconductivity · Physics 2024-01-05 Huan-Kuang Wu , Jay Sau

Analysis of the electronic structure of an ordinary two-dimensional electron gas (2DEG) under an appropriate external periodic potential of hexagonal symmetry reveals that massless Dirac fermions are generated near the corners of the…

Mesoscale and Nanoscale Physics · Physics 2009-05-13 Cheol-Hwan Park , Steven G. Louie

We study the stroboscopic dynamics of hinge modes of a second-order topological material modeled by a tight-binding free fermion Hamiltonian on a cubic lattice in the intermediate drive frequency regime for both discrete (square pulse) and…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Somsubhra Ghosh , Kush Saha , K. Sengupta

Recent studies in the realization of Majorana fermion (MF) quasiparticles have focused on engineering topological superconductivity by combining conventional superconductors and spin-textured electronic materials. We propose an effective…

Mesoscale and Nanoscale Physics · Physics 2018-09-17 Ruizhi Pan , Charles W. Clark

We report a novel mechanism of boundary-sensitive PT symmetry breaking in one-dimensional Floquet systems. By designing a time-periodic driving protocol, we realize a Floquet Hamiltonian that is Hermitian under periodic boundary conditions…

Quantum Physics · Physics 2026-03-25 Bo Li , He-Ran Wang , Fei Song

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

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

We explore a scheme for engineering a one-dimensional spinless p-wave superconductor hosting unpaired Majorana zero-energy modes, using an all-electric setup with a spin-orbit coupled quantum wire in proximity to an s-wave superconductor.…

Strongly Correlated Electrons · Physics 2016-09-21 Mariana Malard , G. I. Japaridze , Henrik Johannesson

In 2D chiral p-wave superconductors, the zero-energy Majorana fermion excitations trapped at vortex cores follow non-Abelian statistics which can be potentially exploited to build a topological quantum computer. The Majorana states are…

Strongly Correlated Electrons · Physics 2010-10-01 Jay D. Sau , Roman M. Lutchyn , Sumanta Tewari , S. Das Sarma

We propose a protocol to realize synthetic $p_x+ip_y$ superconductors in one-dimensional topological systems that host Majorana fermions. By periodically driving a localized Majorana mode across the system, our protocol realizes a…

Superconductivity · Physics 2023-09-11 Lingyu Yang , Gia-Wei Chern , Shi-Zeng Lin

We theoretically investigate a practically realizable Floquet topological superconductor model, based on a one-dimensional Rashba nanowire and proximity induced $s$-wave superconductivity in the presence of a Zeeman field. The driven system…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Debashish Mondal , Arnob Kumar Ghosh , Tanay Nag , Arijit Saha

Majorana zero modes are quasiparticles that hold promise as building blocks for topological quantum computing. However, the litmus test for their detection, the observation of exotic non-abelian statistics revealed by braiding, has so far…

We show that topological phases should be realizable in readily available and well studied heterostructures. In particular we identify a new class of topological materials which are well known in spintronics: helical…

Superconductivity · Physics 2017-01-26 Chien-Te Wu , Brandon M. Anderson , Wei-Han Hsiao , K. Levin

We consider Majorana fermions (MFs) in quasi-one-dimensional nanowire systems containing normal and superconducting sections where the topological phase based on Rashba spin orbit interaction can be tuned by magnetic fields. We derive…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Jelena Klinovaja , Daniel Loss

We study a series of dynamical protocols which involve periodically driving a quantum dot coupled to a putative nanowire hosting Majorana zero modes (MZMs) to i) reduce the hybridization between MZMs, ii) improve the coherence of the…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 Brett Min , Bastien Fajardo , T. Pereg-Barnea , Kartiek Agarwal

For the search of Majorana fermions, we propose to employ a ramp-type Josephson edge junction between a normal metal such as Au, Ag or alloys of heavy metals and a topologically-trivial dx2-y2 wave high-Tc superconductor YBa2Cu3O7. The…

Superconductivity · Physics 2013-06-24 Chang C. Tsuei