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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

In this article, we give a comprehensive review of recent progress in research on symmetry-protected topological superfluids and topological crystalline superconductors, and their physical consequences such as helical and chiral Majorana…

We propose a platform based on a fully compensated ferrimagnet (fFIM) for realizing and controlling topological superconductivity with Majorana bound states across multiple dimensions. Through symmetry analysis and microscopic modeling, we…

Superconductivity · Physics 2025-04-29 Yu-Xuan Li , Yicheng Liu , Cheng-Cheng Liu

Topological superconductors (TSCs) have garnered significant research and industry attention in the past two decades. By hosting Majorana bound states which can be used as qubits that are robust against local perturbations, TSCs offer a…

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

There exists a variety of proposals to transform a conventional s-wave superconductor into a topological superconductor, supporting Majorana fermion mid-gap states. A necessary ingredient of these proposals is strong spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 T. -P. Choy , J. M. Edge , A. R. Akhmerov , C. W. J. Beenakker

The search for a superconductor with non-s-wave pairing is important not only for understanding unconventional mechanisms of superconductivity but also for finding new types of quasiparticles such as Majorana bound states. Materials with…

Topological insulators (TIs) have attracted immense interest because they host helical surface states. Protected by time-reversal symmetry, they are robust to non-magnetic disorder. When superconductivity is induced in these helical states,…

Mesoscale and Nanoscale Physics · Physics 2014-11-06 A. D. K. Finck , C. Kurter , Y. S. Hor , D. J. Van Harlingen

Topological insulators are characterized by an insulating bulk with a finite band gap and conducting edge or surface states, where charge carriers are protected against backscattering. These states give rise to the quantum spin Hall effect…

Strongly Correlated Electrons · Physics 2012-08-23 M. Veldhorst , M. Snelder , M. Hoek , T. Gang , X. L. Wang , V. K. Guduru , U. Zeitler , W. G. v. d. Wiel , A. A. Golubov , H. Hilgenkamp , A. Brinkman

After a recent series of rapid and exciting developments, the long search for the Majorana fermion - the elusive quantum entity at the border between particles and antiparticles - has produced the first positive experimental results, but is…

Superconductivity · Physics 2013-05-14 Tudor D. Stanescu , Sumanta Tewari

Topological matter in 3D is characterized by the presence of a topological BF term in its long-distance effective action. We show that, in 3D, there is another marginal term that must be added to the action in order to fully determine the…

Strongly Correlated Electrons · Physics 2015-05-27 M. Cristina Diamantini , Pasquale Sodano , Carlo A. Trugenberger

The rise of topological phases of matter is strongly connected to their potential to host Majorana bound states, a powerful ingredient in the search for a robust, topologically protected, quantum information processing. In order to produce…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Erwann Bocquillon , Jonas Wiedenmann , Russell S. Deacon , Teunis M. Klapwijk , Hartmut Buhmann , Laurens W. Molenkamp

By analytically solving the Bogoliubov-de Gennes equations we study the fermion bound states at the center of the core of a vortex in a two-dimensional superconductor. We consider three kinds of 2D superconducting models: (a) a standard…

Superconductivity · Physics 2020-11-11 Haoyun Deng , Nicholas Bonesteel , Pedro Schlottmann

In a variety of rare-earth based compounds singlet superconductivity coexists with helical magnetism. Here we demonstrate that surfaces of these systems should generically host a finite density of zero-energy Majorana modes. In the limit of…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Ivar Martin , Alberto F. Morpurgo

Theoretically it has been known that breaking spin-degeneracy and effectively realizing 'spinless fermions' is a promising path to topological superconductors. Yet, topological superconductors are rare to date. Here, we propose to realize…

Superconductivity · Physics 2017-04-13 Yi-Ting Hsu , Abolhassan Vaezi , Mark H Fischer , Eun-Ah Kim

Proximity induced superconducting states in the surface of magnetically doped topological insulators can host chiral Majorana modes. We consider a Josephson junction in that system with changing the chemical potential, which drives a…

Superconductivity · Physics 2019-09-25 Tsubasa Toki , Sho Nakosai , Yukio Tanaka , Yuki Kawaguchi

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 develop a theory of the tunneling spectroscopy for superconducting topological insulators (STIs), where the surface Andreev bound states (SABSs) appear as helical Majorana fermions. Based on the symmetry and topological nature of parent…

Superconductivity · Physics 2012-05-29 Ai Yamakage , Keiji Yada , Masatoshi Sato , Yukio Tanaka

Topological superconductors (TSCs) are of significant current interest because they offer promising platforms for finding Majorana fermions. Here we report a new superconductor synthesized by intercalating Cu into a naturally-formed…

Superconductivity · Physics 2015-06-19 Satoshi Sasaki , Kouji Segawa , Yoichi Ando

3D topological insulator/s-wave superconductor heterostructures have been predicted as candidate systems for the observation of Majorana fermions in the presence of superconducting vortices. In these systems, Majorana fermions are expected…

Superconductivity · Physics 2015-05-30 Ching-Kai Chiu , Matthew J. Gilbert , Taylor L. Hughes
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