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We propose a topological field theory for a spin-less two-dimensional chiral superconductor that contains fundamental Majorana fields. Due to a fermionic gauge symmetry, the Majorana modes survive as dynamical degrees of freedom only at…

Superconductivity · Physics 2012-11-12 T. H. Hansson , A. Karlhede , Masatoshi Sato

Through $s-d$ coupling, a superconducting thin film interfaced to a noncollinear magnetic insulator inherits its magnetic order, which may induce unconventional superconductivity that hosts Majorana edge states. From the cycloidal, helical,…

Superconductivity · Physics 2015-12-08 Wei Chen , Andreas P. Schnyder

We investigate a non-Hermitian Aubry-Andr\'e-Harper model with short-range, as well as long-range p-wave pairing. Here, the non-Hermiticity is introduced through the onsite potential. A comprehensive analysis of several critical aspects of…

Disordered Systems and Neural Networks · Physics 2024-06-17 Shaina Gandhi , Jayendra N. Bandyopadhyay

The interplay between superconductivity, magnetic field and spin-orbit coupling can lead to the realization of non--trivial topological phases. Recent experiments have found signatures of such phases in magnetic nanoflakes formed by…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 Andrzej Ptok , David J. Alspaugh , Szczepan Głodzik , Aksel Kobiałka , Andrzej M. Oleś , Pascal Simon , Przemysław Piekarz

A chiral $p_x+ip_y$ superconductor on a square lattice with nearest and next-nearest hopping and pairing terms is considered. Gap closures, as various parameters of the system are varied, are found analytically and used to identify the…

Superconductivity · Physics 2013-11-27 Antonio Russo , Sudip Chakravarty

High spin-Chern-number topological phases provide a promising low-dimensional platform for realizing double-helical edge states. In this letter, we show how these edge states can host a variety of phases driven by electron interaction…

Strongly Correlated Electrons · Physics 2025-06-23 Yi-Chun Hung , Chen-Hsuan Hsu , Arun Bansil

In one-dimensional p-wave superconductors with short-range interactions, topologically protected Majorana modes emerge, whose mass decays exponentially with system size, as first shown by Kitaev. In this work, we extend this prototypical…

Strongly Correlated Electrons · Physics 2025-10-01 David Haink , Andreas A. Buchheit , Benedikt Fauseweh

We find a series of topological phase transitions in a half-metal/superconductor heterostructure, by tuning the direction of the magnetization of the half-metal film. These include transitions between a topological superconducting phase…

Superconductivity · Physics 2016-10-18 Lei Hao , C. S. Ting

We find a mixed chirality $d$-wave superconducting state in the coexistence region between antiferromagnetism and interaction-driven superconductivity in lightly doped honeycomb materials. This state has a topological chiral $d+id$-wave…

Superconductivity · Physics 2015-11-04 A. M. Black-Schaffer , K. Le Hur

We show that corner Majorana zero modes in a two-dimensional $p+id$ topological superconductor can be controlled by the manipulation of the parent $p-$wave superconducting order. Assuming that the $p$-wave superconducting order is in either…

Superconductivity · Physics 2022-02-09 Morten Amundsen , Vladimir Juričić

We present a unified study of the effect of periodic, quasiperiodic and disordered potentials on topological phases that are characterized by Majorana end modes in 1D p-wave superconducting systems. We define a topological invariant derived…

Strongly Correlated Electrons · Physics 2013-08-09 Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

We show the presence of Majorana edge modes in an interacting fermionic ladder with spin in a number conserved setting. The interchain single particle hopping is suppressed and only a pair hopping is present between the different chains of…

Quantum Gases · Physics 2022-12-23 Franco T. Lisandrini , Corinna Kollath

We present a comprehensive theoretical study of interacting and disordered topological phases of coupled Kitaev wires, which may support further realistic applications of Majorana fermions. We develop a variety of analytical, mathematical…

Superconductivity · Physics 2025-04-08 Frederick Del Pozo , Loïc Herviou , Olesia Dmytruk , Karyn Le Hur

The edges of time reversal symmetry breaking topological superconductors support chiral Majorana bound states as well as spontaneous charge currents. The Majorana modes are a robust, topological property, but the charge currents are…

Superconductivity · Physics 2015-03-18 Wen Huang , Samuel Lederer , Edward Taylor , Catherine Kallin

We identify three-dimensional higher-order superconductors characterized by the coexistence of one-dimensional Majorana hinge states and gapless surface sates. We show how such superconductors can be obtained starting from the model of a…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Sayed Ali Akbar Ghorashi , Xiang Hu , Taylor L. Hughes , Enrico Rossi

We study theoretically the effects of long-range and on-site Coulomb interactions on the topological phases and transport properties of spin-orbit-coupled quasi-one-dimensional quantum wires imposed on an s-wave superconductor. The…

Superconductivity · Physics 2016-10-12 Hengyi Xu , Ye Xiong , Jun Wang

We discuss a (2+1) dimensional topological superconductor with $N_f$ left- and right-moving Majorana edge modes and a $\mathbb{Z}_2\times \mathbb{Z}_2$ symmetry. In the absence of interactions, these phases are distinguished by an integral…

Strongly Correlated Electrons · Physics 2013-05-30 Shinsei Ryu , Shou-Cheng Zhang

The combination of spin-orbit coupling with interactions results in many exotic phases of matter. In this Letter, we investigate the superconducting pairing instability of the two-dimensional extended Hubbard model with both Rashba and…

Superconductivity · Physics 2020-07-08 Majid Kheirkhah , Zhongbo Yan , Yuki Nagai , Frank Marsiglio

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor. We show that when odd number of subbands are occupied the system realizes non-trivial topological state supporting Majorana modes localized at the…

Superconductivity · Physics 2011-03-31 Roman M. Lutchyn , Tudor Stanescu , S. Das Sarma

In a recent work [Potter and Lee, Phys. Rev. Lett. 105, 227003 (2010)], it was demonstrated by means of numerical diagonalization that the Majorana end states can be localized at opposite ends of a sample of an ideal spinless p-wave…

Strongly Correlated Electrons · Physics 2011-08-12 Bin Zhou , Shun-Qing Shen