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We derive an index theorem for zero-energy Majorana fermion modes in a superconductor-topological insulator system in both two and three dimensions, which is valid for models with chiral symmetry as well as particle-hole symmetry. For more…

介观与纳米尺度物理 · 物理学 2016-02-17 T. Fukui , T. Fujiwara

Excitation spectrum of a half-quantum vortex in a p-wave superconductor contains a zero-energy Majorana fermion. This results in a degeneracy of the ground state of the system of several vortices. From the properties of the solutions to…

超导电性 · 物理学 2016-08-31 D. A. Ivanov

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…

介观与纳米尺度物理 · 物理学 2012-09-14 Dibyendu Roy , C. J. Bolech , Nayana Shah

We demonstrate that partially overlapping Majorana bound states (MBSs) represent a generic low-energy feature that emerges in non-homogeneous semiconductor nanowires coupled to superconductors in the presence of a Zeeman field. The…

介观与纳米尺度物理 · 物理学 2018-04-09 Christopher Moore , Tudor D. Stanescu , Sumanta Tewari

We show that the $\nu=8$ integer quantum Hall state can support Majorana zero modes at domain walls between its two different stable chiral edge phases without superconductivity. This is due to the existence of an edge phase that does not…

强关联电子 · 物理学 2015-12-08 Jennifer Cano , Meng Cheng , Maissam Barkeshli , David J. Clarke , Chetan Nayak

Andreev bound states in hybrid superconductor-semiconductor devices can have near-zero energy in the topologically trivial regime as long as the confinement potential is sufficiently smooth. These quasi-Majorana states show zero-bias…

介观与纳米尺度物理 · 物理学 2019-11-13 A. Vuik , B. Nijholt , A. R. Akhmerov , M. Wimmer

Over the last decade, there have been considerable efforts to observe non-abelian quasi-particles in novel quantum materials and devices. These efforts are motivated by the goals of demonstrating quantum statistics of quasi-particles beyond…

超导电性 · 物理学 2023-06-26 Ali Yazdani , Felix von Oppen , Bertrand I. Halperin , Amir Yacoby

Non-abelian anyons are highly desired for topological quantum computation purposes, with Majorana fermions providing a promising route, particularly zero modes with non-trivial mutual statistics. Yet realizing Majorana zero modes in matter…

强关联电子 · 物理学 2021-04-23 Milan Kornjača , Victor L. Quito , Rebecca Flint

The signatures of Majorana zero-energy mode leaking into a spin-charge entangled double quantum dot are investigated theoretically in the strong electron correlation regime. The considered setup consists of two capacitively coupled quantum…

介观与纳米尺度物理 · 物理学 2021-10-05 Piotr Majek , Ireneusz Weymann

We investigate the topological phase diagram of {an extension of the Haldane model with equal spin pairing superconductivity}. In two dimensions, we find a topological nodal superconducting phase, which exhibits a chiral Majorana mode…

介观与纳米尺度物理 · 物理学 2026-04-21 Simone Traverso , Niccolò Traverso Ziani , Maura Sassetti , Fernando Dominguez

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor and calculate the topological phase diagram as a function of the chemical potential and magnetic field. The non-trivial topological state…

超导电性 · 物理学 2015-03-19 Tudor Stanescu , Roman M. Lutchyn , S. Das Sarma

We propose a platform for engineering helical fermions in a hybridized double-quantum-wire setup. When our setup is proximity coupled to an $s$-wave superconductor it can become a class $D$ topological superconductor exhibiting Majorana…

强关联电子 · 物理学 2020-05-19 Ömer M. Aksoy , John R. Tolsma

We study the differential conductance for charge tunneling into a semiconductor wire--superconductor hybrid structure, which is actively investigated as a possible scheme for realizing topological superconductivity and Majorana zero modes.…

介观与纳米尺度物理 · 物理学 2018-01-04 John Stenger , Tudor D. Stanescu

Topological superconductors can host Majorana quasiparticles which supersede the fermion/boson dichotomy and offer a pathway to fault tolerant quantum computation. In one-dimensional systems zero-energy Majorana states are bound to the ends…

Majorana zero modes have gained significant interest due to their potential applications in topological quantum computing and in the realization of exotic quantum phases. These zero-energy quasiparticle excitations localize at the vortex…

介观与纳米尺度物理 · 物理学 2024-08-13 Pasquale Marra , Daisuke Inotani , Takeshi Mizushima , Muneto Nitta

We evaluate theoretically the possibility to realize Majorana zero modes in hybrid devices made from topological-insulator (TI) nanowires proximity-coupled to a superconductor. Such systems have been suggested as building blocks of future…

介观与纳米尺度物理 · 物理学 2025-03-31 Leonard Kaufhold , Achim Rosch

Braiding Majorana zero modes (MZMs) is the key procedure toward topological quantum computation. We show such braiding can be well performed in a parallel semiconductor-superconductor nanowire structure. Considering the fact that the…

介观与纳米尺度物理 · 物理学 2020-10-27 Wenqin Chen , Jiachen Wang , Yijia Wu , Jie Liu , X. C. Xie

I consider a model of two thin superconducting wires interacting through Josephson tunneling and Coulomb interactions. It is shown that there is a parameter range where such a model may have two ground states with different types of…

强关联电子 · 物理学 2011-10-05 A. M. Tsvelik

The prospect of using semiconductor quantum dots as an experimental tool to distinguish Majorana zero modes (MZMs) from other zero-energy excitations such as Kondo resonances has brought up the fundamental question of whether topological…

强关联电子 · 物理学 2020-03-04 Joelson F. Silva , Luis G. G. V. Dias da Silva , E. Vernek

Recent observations of a zero bias conductance peak in tunneling transport measurements in superconductor--semiconductor nanowire devices provide evidence for the predicted zero--energy Majorana modes, but not the conclusive proof for their…

介观与纳米尺度物理 · 物理学 2013-01-09 S. Das Sarma , Jay D. Sau , Tudor D. Stanescu