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Isolated Majorana fermion states can be produced at the boundary of a topological superconductor in a quasi-one-dimensional geometry. If such a superconductor is connected to a disordered quantum wire, the Majorana fermion is spread into…

Mesoscale and Nanoscale Physics · Physics 2015-09-21 D. A. Ivanov , P. M. Ostrovsky , M. A. Skvortsov

We investigate the effect of interactions on the stability of a disordered, two-dimensional topological insulator realized as an array of nanowires or chains of magnetic atoms on a superconducting substrate. The Majorana zero-energy modes…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 A. Milsted , L. Seabra , I. C. Fulga , C. W. J. Beenakker , E. Cobanera

We predict the existence of interaction-driven edge states of bound two-photon quasiparticles in a dimer periodic array of nonlinear optical cavities. Energy spectrum of photon pairs is dramatically richer than in the noninteracting case or…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Maxim A. Gorlach , Alexander N. Poddubny

We present a scheme to realize a topological superconducting system supporting Majorana zero modes, within a number-conserving framework suitable for optical-lattice experiments. Our approach builds on the engineering of pair-hopping…

Quantum Physics · Physics 2025-03-14 Anais Defossez , Laurens Vanderstraeten , Lucila Peralta Gavensky , Nathan Goldman

Through the two-channel Kondo model, I address a magnetic spin-1/2 impurity interacting with a bound state of spin origin at the edge in a Luther-Emery liquid showing a spin gap in the bulk. The system presents two zero-energy Majorana…

Strongly Correlated Electrons · Physics 2026-04-27 Karyn Le Hur

One-dimensional topological phases can host localized zero-energy modes that enable high-fidelity storage and manipulation of quantum information. Majorana fermion chains support a classic example of such a phase, having zero modes that…

Strongly Correlated Electrons · Physics 2014-10-15 Adam S. Jermyn , Roger S. K. Mong , Jason Alicea , Paul Fendley

Magnetic skyrmions are highly mobile nanoscale topological spin textures. We show, both analytically and numerically, that a magnetic skyrmion of an even azimuthal winding number placed in proximity to an s-wave superconductor hosts a…

Superconductivity · Physics 2016-06-06 Guang Yang , Peter Stano , Jelena Klinovaja , Daniel Loss

The quantum phase transition between topological and non-topological insulators or between fully gapped superfluids/superconductors can occur without closing the gap. We consider the evolution of the Majorana edge states on the surface of…

Strongly Correlated Electrons · Physics 2015-05-30 M. A. Silaev , G. E. Volovik

We theoretically study trapped one-dimensional Fermi gases in the presence of spin-orbit coupling induced by Raman lasers. The gas changes from a conventional (non-topological) superfluid to a topological superfluid as one increases the…

Quantum Gases · Physics 2012-12-05 Ran Wei , Erich J. Mueller

The study of topological classes and their associated edge states has been of ongoing interest. In one dimension, the standard platform of these studies has been the conventional Kitaev wire and its realizations. In this work, we study the…

Mesoscale and Nanoscale Physics · Physics 2020-03-26 Sayonee Ray , Subroto Mukerjee , Nayana Shah

Luttinger holes with strong Zeemann and spin-orbit interactions in a wire proximity-coupled to a superconductor is a promising system for observation of Majorana fermions. Earlier treatments of confined Luttinger holes in wires ignored a…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Jingcheng Liang , Yuli Lyanda-Geller

Motivated by recent proposals to realize Majorana bound states in chains and arrays of magnetic atoms deposited on top of a superconductor, we study the topological properties of various chain structures, ladders and two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Kim Pöyhönen , Alex Westström , Joel Röntynen , Teemu Ojanen

Noncentrosymmetric superconductors with line nodes are expected to possess topologically protected flat zero-energy bands of surface states, which can be described as Majorana modes. We here investigate their fate if residual interactions…

Strongly Correlated Electrons · Physics 2020-02-05 Janna E. Rückert , Gergő Roósz , Carsten Timm

We investigate the formation of Majorana fermions in finite-size graphene strips with open boundary conditions in both directions, in the presence of an in-plane magnetic field and in the proximity of a superconducting substrate. We show…

Superconductivity · Physics 2017-07-12 Vardan Kaladzhyan , Cristina Bena

We theoretically study scanning gate microscopy of a superconductor-proximitized semiconducting wire focusing on the potential for detection of Majorana bound states. We exploit the possibility to create a local potential perturbation by…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 S. Maji , M. P. Nowak

We show that Majorana fermions (MFs) exist in two- and three-dimensional (2D,3D) fermionic optical lattices with strictly 1D spin-orbit coupling (SOC) which has already been realized in ex- periments. For a quasi-1D topological BCS…

Quantum Gases · Physics 2015-08-18 Chunlei Qu , Ming Gong , Yong Xu , Sumanta Tewari , Chuanwei Zhang

We propose a set of interferometric methods on how to detect Majorana bound states induced by a topological insulator. The existence of these states can be easily determined by the conductance oscillations as function of magnetic flux…

Mesoscale and Nanoscale Physics · Physics 2010-02-18 Colin Benjamin , Jiannis K. Pachos

We study the effects of Majorana modes and interactions between electrons on transport in a one-dimensional system with a junction of three p-wave superconductors (SCs) which are connected to normal metal leads. For sufficiently long SCs,…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Oindrila Deb , Manisha Thakurathi , Diptiman Sen

One-dimensional topological superconductors treated at the mean-field level host zero-energy edge Majorana modes, which encode topological degeneracy of their ground states. Geometric manipulations (braiding) of multiple wires can be used…

Strongly Correlated Electrons · Physics 2024-07-19 Ivar Martin , Kartiek Agarwal

Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers [1]. They are expected to exhibit non-Abelian particle statistics, in contrast to…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 S. M. Albrecht , A. P. Higginbotham , M. Madsen , F. Kuemmeth , T. S. Jespersen , J. Nygård , P. Krogstrup , C. M. Marcus