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Topological insulator (TI) nanowires in proximity with conventional superconductors have been proposed as a tunable platform to realize topological superconductivity and Majorana zero modes (MZM). The tuning is done using an axial magnetic…

We propose a platform for braiding Majorana non-Abelian anyons based on a heterostructure between a $d$-wave high-$T_c$ superconductor and a quantum spin-Hall insulator. It has been recently shown that such a setup for a quantum spin-Hall…

Mesoscale and Nanoscale Physics · Physics 2021-07-30 Matthew F. Lapa , Meng Cheng , Yuxuan Wang

The introduction of superconductivity to the Dirac surface states of a topological insulator leads to a topological superconductor, which may support topological quantum computing through Majorana zero modes. The development of a scalable…

Higher order topological superconductors hosting Majorana-Kramers pairs (MKPs) as corner modes have recently been proposed in a two-dimensional (2D) quantum spin Hall insulator (QSHI) proximity-coupled to unconventional cuprate or…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Chuanchang Zeng , T. D. Stanescu , Chuanwei Zhang , V. W. Scarola , Sumanta Tewari

Majorana bound states are zero-energy excitations of topological superconductors which obey non-Abelian exchange statistics and are basic building blocks for topological quantum computation. In order to observe and exploit their…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Alessio Calzona , Björn Trauzettel

Recently, topological superconductors have emerged as a pivotal frontier in condensed matter physics, owing to the exotic properties of Majorana quasiparticles residing on edges, surfaces, and vortex cores. In this work, we investigate a…

Superconductivity · Physics 2026-01-16 Huan-Wen Lai , Meng-Chien Wang , Ching-Ray Chang , Seng-Ghee Tan

Recently, iron-chalcogenide superconductors have emerged as a new and promising platform for studying and manipulating Majorana zero mode (MZM). By combining topological band structure and superconductivity in a multiband material, they…

Magnetic skyrmions in proximity to superconductors offer a route to engineering topological superconductivity due to the synthetic spin-orbit coupling engendered by the spin twist of the skyrmion texture. Previous theoretical works show…

Superconductivity · Physics 2026-02-11 Bastien Fajardo , T. Pereg-Barnea , Arun Paramekanti , Kartiek Agarwal

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Tudor D. Stanescu , Sankar Das Sarma

It is commonly assumed that topological phase transitions in topological superconductors are accompanied by a closing of the topological gap or a change of the symmetry of the system. We demonstrate that an unconventional topological phase…

Superconductivity · Physics 2021-06-16 Maciej M. Maśka , Nicholas Sedlmayr , Aksel Kobiałka , Tadeusz Domański

We consider theoretically the physics of bulk topological superconductivity accompanied by boundary non-Abelian Majorana zero modes in semiconductor-superconductor (SM-SC) hybrid systems consisting of finite wires in the presence of…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Sankar Das Sarma , Jay D. Sau , Tudor D. Stanescu

The experimental realization of Majorana fermions presents an important problem due to their non-Abelian nature and potential exploitation for topological quantum computation. Very recently Sau et al. [arXiv:0907.2239] demonstrated that a…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea

The Majorana phase boundaries in planar 2D hybrid (semiconductor-superconductor) nanowires are modified by orbital effects due to off plane magnetic components. We show that Majorana zero modes survive sizable vertical field tiltings,…

Mesoscale and Nanoscale Physics · Physics 2015-07-20 Javier Osca , Llorenç Serra

We investigate the role of the coupling between a spin-orbit coupled semiconductor nanowire and a conventional $s$-wave superconductor on the emergence of the topological superconducting phase with Majorana bound states in an applied…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Oladunjoye A. Awoga , Jorge Cayao , Annica M. Black-Schaffer

Platforms for creating Majorana quasiparticles rely on superconductivity and breaking of time-reversal symmetry. By studying continuous deformations to known trivial states, we find that the relationship between superconducting pairing and…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Kim Pöyhönen , Daniel Varjas , Michael Wimmer , Anton R. Akhmerov

The braiding of Majorana zero modes (MZMs) forms the fundamental building block for topological quantum computation. Braiding protocols which involve the physical exchange of MZMs are typically envisioned on a network of topological…

Mesoscale and Nanoscale Physics · Physics 2026-02-26 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea

Quantum computation by non-Abelian Majorana zero modes (MZMs) offers an approach to achieve fault tolerance by encoding quantum information in the non-local charge parity states of semiconductor nanowire networks in the topological…

Majorana zero mode (MZM) exhibits inherent resilience to local parametric fluctuations, due to the topological protection mechanism in the non-Abelian braiding statistics of the anyonic quasiparticles. In this paper, we construct the…

Quantum Physics · Physics 2025-11-19 Zhu-yao Jin , Jun Jing

Executing quantum algorithms using Majorana zero modes - a major milestone for the field of topological quantum computing - requires a platform that can be scaled to large quantum registers, can be controlled in real time and space, and a…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Jasmin Bedow , Dirk K. Morr

Conventional $n$-dimensional topological superconductors (TSCs) have protected gapless $(n - 1)$-dimensional boundary states. In contrast to this, second-order TSCs are characterized by topologically protected gapless $(n - 2)$-dimensional…

Mesoscale and Nanoscale Physics · Physics 2018-12-17 Tao Liu , James Jun He , Franco Nori