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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 discuss evolution of the Fermi surface (FS) topology with doping in electron doped cuprates within the framework of a one-band Hubbard Hamiltonian, where antiferromagnetism and superconductivity are assumed to coexist in a uniform phase.…

Superconductivity · Physics 2009-11-13 Tanmoy Das , R. S. Markiewicz , A. Bansil

Majarona fermions (MFs) were predicted more than seven decades ago but are yet to be identified [1]. Recently, much attention has been paid to search for MFs in condensed matter systems [2-10]. One of the seaching schemes is to create MF at…

Mesoscale and Nanoscale Physics · Physics 2012-05-02 Fanming Qu , Fan Yang , Jie Shen , Yue Ding , Jun Chen , Zhongqing Ji , Guangtong Liu , Jie Fan , Xiunian Jing , Changli Yang , Li Lu

The engineering of Majorana zero modes in topological superconductors, a new paradigm for the realization of topological quantum computing and topology-based devices, has been hampered by the absence of materials with sufficiently large…

Superconductivity · Physics 2023-01-18 Eric Mascot , Sagen Cocklin , Martin Graham , Mahdi Mashkoori , Stephan Rachel , Dirk K. Morr

Recent observation of zero bias conductance peaks in semiconductor wire/superconductor heterostructures has generated great interest, and there is a hot debate on whether the observation is associated with Majorana fermions (MFs). Here we…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Jie Liu , Fu-Chun Zhang , K. T. Law

Among the broad spectrum of systems predicted to exhibit topological superconductivity and Majorana fermions, one-dimensional wires with strong spin-orbit coupling provide one of the most promising experimental candidates. Here we…

Superconductivity · Physics 2011-07-15 E. M. Stoudenmire , Jason Alicea , Oleg A. Starykh , Matthew P. A. Fisher

We theoretically study potential unconventional superconductivity in doped AB-type IV-VI semi-conductors, based on a minimal effective model with interaction up to the next-nearest neighbors. According to the experimental implications, we…

Superconductivity · Physics 2022-04-26 Zhe Li , Shengshan Qin , Jie Ren , Zhida Song , Dexi Shao , Chen Fang

Topological superconductors, whose edge hosts Majorana bound states or Majorana fermions that obey non-Abelian statistics, can be used for low-decoherence quantum computations. Most of the proposed topological superconductors are realized…

Topological insulators, featuring bulk-boundary correspondence, have been realized on a large number of noncrystalline materials, among which amorphous network, quasicrystals and fractal lattices are the most prominent ones. By contrast,…

Superconductivity · Physics 2024-05-10 Sourav Manna , Sanjib Kumar Das , Bitan Roy

Majorana fermions are the only fermionic particles that are expected to be their own antiparticles. While elementary particles of the Majorana type were not identified yet, quasi-particles with Majorana like properties, born from…

Mesoscale and Nanoscale Physics · Physics 2012-12-13 Anindya Das , Yuval Ronen , Yonatan Most , Yuval Oreg , Moty Heiblum , Hadas Shtrikman

In this tutorial paper, we provide an introduction to the briskly expanding research field of Majorana fermions in topological superconductors. We discuss several aspects of topological superconductivity and the advantages it brings to…

Non-abelian anyons are highly desired for topological quantum computation purposes, with Majorana fermions providing a promising route, particularly zero modes with non-trivial mutual statistics. Yet realizing Majorana zero modes in matter…

Strongly Correlated Electrons · Physics 2021-04-23 Milan Kornjača , Victor L. Quito , Rebecca Flint

Topological superconductors, which support Majorana fermion excitations, have been the subject of intense studies due to their novel transport properties and their potential applications in fault-tolerant quantum computations. Here we…

Superconductivity · Physics 2014-02-24 James Jun He , Jiansheng Wu , Ting-Pong Choy , Xiong-Jun Liu , Y. Tanaka , K. T. Law

Magnet-superconductor hybrid (MSH) structures represent one of the most promising platforms to realize, control and manipulate Majorana modes using scanning tunneling methods. By depositing either chains or islands of magnetic atoms on the…

Superconductivity · Physics 2020-05-20 Daniel Crawford , Eric Mascot , Dirk K. Morr , Stephan Rachel

We present a new platform for creating Majorana bound states from 2D gapless superconducting state in spin-helical systems under the in-plane Zeeman field. Topological 1D channels are formed by quantum confinement of quasiparticles via…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Michał Papaj , Liang Fu

This is a colloquium-style introduction to the midgap excitations in superconductors known as Majorana fermions. These elusive particles, equal to their own antiparticle, may or may not exist in Nature as elementary building blocks, but in…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 C. W. J. Beenakker

We study surface superconductivity involving the `drumhead' surface states of (doped) Weyl loop materials. The leading weak coupling instability in the bulk is toward a chiral superconducting order, which fully gaps the Fermi surface. In…

Strongly Correlated Electrons · Physics 2017-03-08 Yuxuan Wang , Rahul M. Nandkishore

Topological superconductors are novel classes of quantum condensed phases, characterized by topologically nontrivial structures of Cooper pairing states. On the surfaces of samples and in vortex cores of topological superconductors,…

Superconductivity · Physics 2016-06-03 Masatoshi Sato , Satoshi Fujimoto

Superconductors with an odd number of bands crossing the Fermi energy have topologically protected Andreev states at interfaces, including Majorana states in one dimensional geometries. Superconductivity, a low number of 1D channels, large…

Mesoscale and Nanoscale Physics · Physics 2012-12-11 J. G. Rodrigo , V. Crespo , H. Suderow , S. Vieira , F. Guinea

A topological superconductor (TSC) is characterized by the topologically-protected gapless surface state that is essentially an Andreev bound state consisting of Majorana fermions. While a TSC has not yet been discovered, the doped…

Superconductivity · Physics 2011-11-16 Satoshi Sasaki , M. Kriener , Kouji Segawa , Keiji Yada , Yukio Tanaka , Masatoshi Sato , Yoichi Ando