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We propose a setup that integrates a quantum point contact (QPC) and a Josephson junction on a quantum spin Hall sample, experimentally realizable in InAs/GaSb quantum wells. The confinement due to both the QPC and the superconductor…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Jian Li , Wei Pan , B. Andrei Bernevig , Roman M. Lutchyn

Motivated by the recent experiment indicating that superconductivity in the doped topological insulator Cu$_x$Bi$_2$Se$_3$ has an odd-parity pairing symmetry with rotational symmetry breaking, we study the general class of odd-parity…

Superconductivity · Physics 2016-12-15 Jörn W. F. Venderbos , Vladyslav Kozii , Liang Fu

Majorana bound states are interesting candidates for applications in topological quantum computation. Low energy models allowing to grasp their properties are hence conceptually important. The usual scenario in these models is that two…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 N. Traverso Ziani , C. Fleckenstein , L. Vigliotti , B. Trauzettel , M. Sassetti

Topological superfluids protected by mirror and time-reversal symmetries are exotic states of matter possessing Majorana Kramers pairs (MKPs), yet their realizations have long been hindered by the requirement of unconventional pairing. We…

Quantum Gases · Physics 2018-11-06 Haiping Hu , Fan Zhang , Chuanwei Zhang

We introduce a model of interacting Majorana fermions that describes a superconducting phase with a topological order characterized by the Fibonacci topological field theory. Our theory, which is based on a $SO(7)_1/(G_2)_1$ coset…

Mesoscale and Nanoscale Physics · Physics 2018-02-08 Yichen Hu , C. L. Kane

The hope to realize Majorana fermions at the vortex core of a two dimensional topological superconductor has led to a variety of proposals for devices which exhibit topological superconductivity. Many of these include superconductivity…

Strongly Correlated Electrons · Physics 2014-11-05 Aaron Farrell , T. Pereg-Barnea

A general phenomenological theory is presented for the phase behavior of ferromagnetic superconductors with spin-triplet electron Cooper pairing. The theory describes in details the temperature-pressure phase diagrams of real inter-metallic…

Superconductivity · Physics 2012-07-10 Dimo I. Uzunov

The novel idea that spin-orbit coupling (SOC) and $s$-wave pairing can lead to induced $p$-wave pairing at strong magnetic limit has stimulated widespread interests in the whole community for the searching of Majorana Fermions (MFs), a…

Superconductivity · Physics 2018-10-24 Jia Liu , Chun Fai Chan , Ming Gong

Topological superconductors are believed to host exotic quasiparticle excitations known as Majorana zero-modes, with much of the evidence based on BCS mean-field theory. The direct application of mean-field arguments is tenuous in finite,…

Strongly Correlated Electrons · Physics 2025-09-03 Jaden Thomas-Markarian , Kartiek Agarwal , Ivar Martin

We theoretically consider the effect of a spatially periodic modulation of the superconducting order parameter on the formation of Majorana fermions induced by a one-dimensional system with magnetic impurities brought into close proximity…

Mesoscale and Nanoscale Physics · Physics 2016-04-19 Silas Hoffman , Jelena Klinovaja , Daniel Loss

The rapid experimental progress of ultra-cold dipolar fermions opens up a whole new opportunity to investigate novel many-body physics of fermions. In this article, we review theoretical studies of the Fermi liquid theory and Cooper pairing…

Quantum Gases · Physics 2015-01-06 Yi Li , Congjun Wu

Majorana fermions are particles identical to their own antiparticles. They have been theoretically predicted to exist in topological superconductors. We report electrical measurements on InSb nanowires contacted with one normal (Au) and one…

Mesoscale and Nanoscale Physics · Physics 2012-04-13 V. Mourik , K. Zuo , S. M. Frolov , S. R. Plissard , E. P. A. M. Bakkers , L. P. Kouwenhoven

In this chapter we review recent experimental and theoretical work on various novel superfluid phases in fermion systems, that result from pairing fermions of different species with unequal densities. After briefly reviewing existing…

Superconductivity · Physics 2016-11-09 Kun Yang

Ferromagnetism and superconductivity are generally considered to be antagonistic phenomena in condensed matter physics. Here, we theoretically study the interplay between the ferromagnetic and superconducting orders in a recent discovered…

Strongly Correlated Electrons · Physics 2021-02-09 Tian-Zhong Yuan , Mu-Yuan Zou , Wen-Tao Jin , Xin-Yuan Wei , Xu-Guang Xu , Wei Li

In two-dimensional topological nodal superconductors, Majorana edge states have been conventionally believed to exhibit only spin-triplet pairing correlations. However, we reveal a substantial spin-singlet pairing component in Majorana edge…

Superconductivity · Physics 2025-06-10 Junjie Zeng , James Jun He , Zhen Ning , Dong-Hui Xu , Rui Wang

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

In superconductors, electrons bound into Cooper pairs conduct a dissipationless current. The strength of the Cooper pairs scales with the value of the critical transition temperature (Tc). In cuprate high-Tc superconductors, however, the…

Strongly Correlated Electrons · Physics 2016-02-09 Shiro Sakai , Marcello Civelli , Masatoshi Imada

We theoretically investigate the fusion rules of Majorana Kramers pairs in time-reversal-invariant topological superconductors. We find that the fusion of Majorana Kramers pairs is a process that Ising anyons fuse independently in the two…

Superconductivity · Physics 2025-07-08 Hongfa Pan , Jinxiong Jia , Zhenhua Qiao

Topological superfluid, new quantum matter that possesses gapless exotic excitations known as Majorana fermions, has attracted extensive attention recently. These excitations, which can encode topological qubits, could be crucial…

Quantum Gases · Physics 2016-01-18 Liang-Liang Wang , Wu-Ming Liu

We study the localization and oscillation properties of the Majorana fermions that arise in a two-dimensional electron gas (2DEG) with spin-orbit coupling (SOC) and a Zeeman field coupled with a d-wave superconductor. Despite the angular…

Superconductivity · Physics 2018-02-21 Laura Ortiz , Santiago Varona , Oscar Viyuela , Miguel Angel Martin-Delgado