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The Bi$_2$Se$_3$ class of topological insulators has recently been shown to undergo a superconducting transition upon hole or electron doping (Cu$_x$-Bi$_2$Se$_3$ with T$_C$=3.8$^o$K and Pd$_x$-Bi$_2$Te$_3$ with T$_C$=5$^o$K), raising the…

Higher-order topological superconductors host Majorana zero modes localized at corners or hinges, providing a promising route toward scalable and controllable Majorana networks without vortices or magnetic flux. Here we propose a…

Superconductivity · Physics 2026-02-06 Yongting Shi , Qing Wang , Zhen-Guo Fu , Ping Zhang , Ning Hao

There have recently been several experiments studying induced superconductivity in semiconducting two-dimensional electron gases that are strongly coupled to thin superconducting layers, as well as probing possible topological phases…

Mesoscale and Nanoscale Physics · Physics 2018-04-24 Christopher Reeg , Daniel Loss , Jelena Klinovaja

One-dimensional (1D) topological superconductivity is a state of matter that is not found in nature. However, it can be realised, for example, by inducing superconductivity into the quantum spin Hall edge state of a two-dimensional…

Among the broad spectrum of systems predicted to exhibit topological superconductivity and Majorana fermions, one-dimensional wires with strong spin-orbit coupling provide one of the most promising experimental candidates. Here we…

Superconductivity · Physics 2011-07-15 E. M. Stoudenmire , Jason Alicea , Oleg A. Starykh , Matthew P. A. Fisher

A highlighting feature of Majorana bound states in two-dimensional topological superconductors is that they gain a phase factor of $\pi$ upon being orbited by a vortex. This work focuses on the vortex degree of freedom itself and…

Strongly Correlated Electrons · Physics 2016-06-29 Jeffrey C. Y. Teo , Mayukh Nilay Khan , Smitha Vishveshwara

There have been several proposals for platforms sustaining topological superconductivity in high temperature superconductors, in order to make use of the larger superconducting gap and the expected robustness of Majorana zero modes towards…

Superconductivity · Physics 2024-07-29 Mainak Pal , Andreas Kreisel , P. J. Hirschfeld

We investigate the local density of states, spectral function, and superconducting pair amplitudes for signatures of Majorana fermions in vortex cores in ferromagnetic and spin-orbit coupled semiconductor-superconductor heterostructures. We…

Superconductivity · Physics 2016-09-06 Kristofer Björnson , Annica M. Black-Schaffer

Topological superconductors are appealing building blocks for robust and reliable quantum information processing. Most platforms for engineering topological superconductivity rely on a combination of superconductors, materials with…

Mesoscale and Nanoscale Physics · Physics 2025-08-06 Ignacio Sardinero , Rubén Seoane Souto , Pablo Burset

As a promising candidate system to realize topological superconductivity, the system of a 3D topological insulator (TI) grown on top of the s-wave superconductor has been extensively studied. To access the topological superconductivity…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Youngseok Kim , Timothy M. Philip , Moon Jip Park , Matthew J. Gilbert

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

We show that a film of a semiconductor such as GaAs, in which s-wave superconductivity and a Zeeman splitting are induced by proximity effect, supports zero-energy Majorana fermion modes in the ordinary vortex excitations. The key to the…

Strongly Correlated Electrons · Physics 2010-03-16 Jay D. Sau , Roman M. Lutchyn , Sumanta Tewari , S. Das Sarma

This is a colloquium-style introduction to the midgap excitations in superconductors known as Majorana fermions. These elusive particles, equal to their own antiparticle, may or may not exist in Nature as elementary building blocks, but in…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 C. W. J. Beenakker

We show theoretically that a heterostructure of monolayer FeTe$_{1-x}$Se$_x$ - a superconducting quantum spin Hall material - with a monolayer of FeTe - a bicollinear antiferromagnet - realizes a higher order topological superconductor…

Superconductivity · Physics 2019-10-23 Rui-Xing Zhang , William S. Cole , Xianxin Wu , S. Das Sarma

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

We present a pedagogical review of topological superconductivity and its consequences in spin-orbit coupled semiconductor/superconductor heterostructures. We start by reviewing the historical origins of the notions of Dirac and Majorana…

Superconductivity · Physics 2022-09-22 Jay Sau , Sumanta Tewari

Much interest in the superconducting proximity effect in three-dimensional (3D) topological insulators (TIs) has been driven by the potential to induce Majorana bound states at the interface. Most candidate materials for 3D TI, however, are…

Superconductivity · Physics 2014-12-10 Kyungmin Lee , Abolhassan Vaezi , Mark H. Fischer , Eun-Ah Kim

Majorana boundary quasiparticles may naturally emerge in a spin-singlet superconductor with Rashba spin-orbit interactions, when a Zeeman magnetic field breaks time-reversal symmetry. Their existence and robustness against adiabatic changes…

Mesoscale and Nanoscale Physics · Physics 2017-07-18 C. Dutreix

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

Higher-order topological superconductivity typically depends on spin-orbit interaction, and often necessitates well designed sample structures, nodal superconducting pairings or complex magnetic order. In this work, we propose a model that…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Jinpeng Xiao , Qianglin Hu , Zuodong Yu , Weipeng Chen , Xiaobing Luo