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Chiral Majorana-fermion modes are shown to emerge as edge excitations in a superconductor--topological-insulator hybrid structure that is subject to a magnetic field. The velocity of this mode is tunable by changing the magnetic-field…

Mesoscale and Nanoscale Physics · Physics 2014-02-19 Rakesh P. Tiwari , U. Zülicke , C. Bruder

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…

It has recently been realized that zero modes with projective non-Abelian statistics, generalizing the notion of Majorana bound states, may exist at the interface between a superconductor and a ferromagnet along the edge of a fractional…

Strongly Correlated Electrons · Physics 2013-05-30 Michele Burrello , Bernard van Heck , Emilio Cobanera

Heavy metals, such as Au, Ag, and Pb, often have sharp surface states that are split by strong Rashba spin-orbit coupling. The strong spin-orbit coupling and two-dimensional nature of these surface states make them ideal platforms for…

Mesoscale and Nanoscale Physics · Physics 2012-06-13 Andrew C. Potter , Patrick A. Lee

We study theoretically the role of topological invariants to protect the Majorana fermions in a model of two-dimensional chiral superconductors which belong to class D of topological periodic table. A rich phase diagram is revealed. Each…

Mesoscale and Nanoscale Physics · Physics 2012-09-25 Daichi Asahi , Naoto Nagaosa

Topological insulator edges and spin-orbit-coupled quantum wires in proximity to s-wave super- conductors can be tuned through a topological quantum phase transition by a Zeeman field. Here we show that a supercurrent flowing in the s-wave…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Alessandro Romito , Jason Alicea , Gil Refael , Felix von Oppen

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 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

Realizing topological superconductivity and Majorana zero modes in the laboratory is one of the major goals in condensed matter physics. We review the current status of this rapidly-developing field, focusing on semiconductor-superconductor…

Superconductivity · Physics 2018-05-11 R. M. Lutchyn , E. P. A. M. Bakkers , L. P. Kouwenhoven , P. Krogstrup , C. M. Marcus , Y. Oreg

Classical wave fields are real-valued, ensuring the wave states at opposite frequencies and momenta to be inherently identical. Such a particle-hole symmetry can open up new possibilities for topological phenomena in classical systems. Here…

Mesoscale and Nanoscale Physics · Physics 2016-12-08 Dafei Jin , Ling Lu , Zhong Wang , Chen Fang , John D. Joannopoulos , Marin Soljačić , Liang Fu , Nicholas X. Fang

The existence of edge states and zero energy modes in vortex cores is a hallmark of topologically nontrivial phases realized in various condensed matter systems such as the fractional quantum Hall states, p+ip superconductors, and Z_2…

Superconductivity · Physics 2009-04-03 Masatoshi Sato , Satoshi Fujimoto

A two-dimensional field theory of a fermion chirally coupled to Toda field plus a scalar self-coupling potential is considered. Using techniques of integrable systems we obtain analytical zero modes, in-gap states and bound states in the…

High Energy Physics - Theory · Physics 2022-09-28 H. Blas , J. J. Monsalve , R. Quicaño , J. R. V. Pereira

Majorana zero modes are central to the pursuit of fault-tolerant topological quantum computation. While traditionally sought in one-dimensional hybrid nanowires, a robust alternative platform involves heterostructures combining…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 A. S. Slobodskoi , S. S. Apostoloff , I. S. Burmistrov

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Tudor D. Stanescu , Sankar Das Sarma

Motivated by a recent experiment in which zero-bias peaks have been observed in scanning tunneling microscopy (STM) experiments performed on chains of magnetic atoms on a superconductor, we show, by generalizing earlier work, that a…

Superconductivity · Physics 2015-03-17 Eugene Dumitrescu , Brenden Roberts , Sumanta Tewari , Jay D. Sau , S. Das Sarma

We explore possible signatures for observing Majorana Fermions in the tunneling spectroscopy of high-Tc cuprate superconductors. We find that as long as the Rashba spin orbit interaction is in presence either through proximity effect due to…

Superconductivity · Physics 2015-06-24 Jun-Ting Kao , Shin-Ming Huang , Chung-Yu Mou , C. C. Tsuei

We propose a general recipe for chiral topological superconductor (TSC) in two dimensions with multiple $N$ chiral Majorana fermion modes from a quantied anomalous Hall insulator in proximity to an s-wave superconductor with nontrivial band…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 Jing Wang , Biao Lian

Superconducting materials exhibiting topological properties are emerging as an exciting platform to realize fundamentally new excitations from topological quantum states of matter. In this work, we explore the possibility of a field-free…

Spin-orbit coupled semiconducting nanowires with proximity-induced superconductivity are expected to host Majorana zero modes at their endpoints when a sufficiently strong magnetic field is applied. The resulting phase would be a…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 David J. Clarke

Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Pasquale Marra