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Majorana fermions have recently garnered a great attention outside the field of particle physics, in condensed matter physics. In contrast to their particle physics counterparts, Majorana fermions are zero energy, chargeless, spinless,…

Superconductivity · Physics 2019-09-25 Rémy Pawlak , Silas Hoffman , Jelena Klinovaja , Daniel Loss , Ernst Meyer

We study two-dimensional noncentrosymmetric nodal superconductors under Zeeman field and clarify the field angle dependence of topological properties. It has been shown that the nodal excitation acquires an excitation gap due to the Zeeman…

Superconductivity · Physics 2017-05-02 Akito Daido , Youichi Yanase

Two-dimensional $p_x+ip_y$ topological superconductors host gapless Majorana edge modes, as well as Majorana bound states at the core of $h/2e$ vortices. Here we construct a model realizing the fractional counterpart of this phase: a…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Eran Sagi , Arbel Haim , Erez Berg , Felix von Oppen , Yuval Oreg

We consider a new model system supporting Majorana zero modes based on semiconductor nanowires with a full superconducting shell. We demonstrate that, in the presence of spin-orbit coupling in the semiconductor induced by a radial electric…

We perform a theoretical study of the orbital effect of a magnetic field on a proximity-coupled islands array of $p_{x}+ip_{y}$ topological superconductors. To describe the system, we generalize the tight-binding model of the Hofstadter…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Omri Lesser , Yuval Oreg

Superconductivity and the quantum Hall effect are considered to be two cornerstones of condensed matter physics. The realization of hybrid structures where these two effects coexist has recently become an active field of research. In this…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

At zero temperature, a two-dimensional lattice of Majorana zero modes on mesoscopic superconducting islands exhibits a topologically-ordered toric code phase. Recently, a Landau field theory was used to describe the different phases of the…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Alexander Ziesen , Fabian Hassler , Ananda Roy

The Majorana fermion offers fascinating possibilities such as non-Abelian statistics and non-local robust qubits, and hunting it is one of the most important topics in current condensed matter physics. Most of the efforts have been focused…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 Lina Johnsen Kamra , Bo Lu , Jacob Linder , Yukio Tanaka , Naoto Nagaosa

We consider a heterostructure of semiconductor layers sandwiched between two superconductors, forming a two-dimensional Josephson junction. Applying a Zeeman field perpendicular to the junction can render a topological superconducting phase…

Mesoscale and Nanoscale Physics · Physics 2021-04-27 Shao-Kai Jian , Shuai Yin

Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundary. In conventional topological superconductors, Majorana in-gap states appear in the form of either localized zero-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Junyeong Ahn , Bohm-Jung Yang

Topological superconductors are prime candidates for the implementation of topological-quantum-computation ideas because they can support non-Abelian excitations like Majorana fermions. We go beyond the low-energy effective-model…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 Dibyendu Roy , C. J. Bolech , Nayana Shah

Two-dimensional topological superconductivity has attracted great interest due to the emergence of Majorana modes bound to vortices and propagating along edges. However, due to its rare appearance in natural compounds, experimental…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 J. L. Lado , M. Sigrist

We show that one dimensional (1D) topological superconductivity can be placed in the context of phenomena associated with strongly correlated electron systems. Here we propose a system consisting of a one-dimensional chain of strongly…

Superconductivity · Physics 2024-07-12 Kaushal Kumar Kesharpu , Evgenii A. Kochetov , Alvaro Ferraz

Epitaxial semiconductor nanowires with charge carrier holes can exhibit an infinite mass of holes and spin-locking due to chiral spectrum linear in momentum and spin. The criterion for emergence of topological superconductivity and Majorana…

Mesoscale and Nanoscale Physics · Physics 2019-04-15 G. E. Simion , Y. B. Lyanda-Geller

As a half-metal is spin-polarized at its Fermi level by definition, it was conventionally thought to have little proximity effect to an s-wave superconductor. Here we show that, with interface spin-orbit coupling, $p_x +ip_y$…

Superconductivity · Physics 2015-03-17 Suk Bum Chung , Hai-Jun Zhang , Xiao-Liang Qi , Shou-Cheng Zhang

We study the conditions for the existence of unpaired Majorana modes at the ends of vortex lines or the side edges of a layered topological superconductor. We show that the problem is mapped to that of a general Majorana chain and extend…

Superconductivity · Physics 2012-03-01 Babak Seradjeh , Eytan Grosfeld

A two-dimensional second-order topological superconductor exhibits a finite gap in both bulk and edges, with the nontrivial topology manifesting itself through Majorana zero modes localized at the corners, i.e., Majorana corner states. We…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Xiaoyu Zhu

The possibility to observe and manipulate Majorana fermions as end states of one-dimensional topological superconductors has been actively discussed recently. In a quantum wire with strong spin-orbit coupling placed in proximity to a bulk…

Superconductivity · Physics 2014-07-31 Masaki Tezuka , Norio Kawakami

The intense search for topological superconductivity is inspired by the prospect that it hosts Majorana quasiparticles. We explore in this work the optimal design for producing topological superconductivity by combining a quantum Hall state…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Gun Sang Jeon , J. K. Jain , C. -X. Liu

We propose a theoretical model to investigate the interplay between altermagnetism and $p$-wave superconductivity, with a particular focus on topological phase transitions in a two-dimensional (2D) $p$-wave superconductor, considering both…

Superconductivity · Physics 2025-08-06 Pritam Chatterjee , Vladimir Juričić