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We describe Majorana edge states of a semi-infinite wire using the complex band structure approach. In this method the edge state at a given energy is built as a superposition of evanescent waves. It is shown that the superposition can not…

Mesoscale and Nanoscale Physics · Physics 2013-02-27 Llorenç Serra

Recent experiments in semiconductor nanowires with a spin-orbit coupling and proximity-induced superconductivity exhibit signatures of Majorana bound states predicted to exist in the topological phase. In this work we predict that these…

Mesoscale and Nanoscale Physics · Physics 2012-12-11 Teemu Ojanen

We review the properties of Majorana fermions in particle physics and point out that Majorana modes in solid state systems are significantly different. The key reason is the concept of anti-particle in solid state systems is different from…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Qi Zhang , Biao Wu

Orbital effects of a magnetic field in a proximitized semiconductor nanowire are studied in the context of the spatial extent of Majorana bound states. We develop analytical model that explains the impact of concurring effects of…

Mesoscale and Nanoscale Physics · Physics 2018-01-19 M. P. Nowak , P. Wójcik

Studies of Majorana bound states in semiconducting nanowires frequently neglect the orbital effect of magnetic field. Systematically studying its role leads us to several conclusions for designing Majoranas in this system. Specifically, we…

Mesoscale and Nanoscale Physics · Physics 2016-06-30 Bas Nijholt , Anton R. Akhmerov

The interplay of superconductivity with a non-trivial spin texture holds promises for the engineering of non-abelian Majorana quasi-particles. A wide class of systems expected to exhibit exotic correlations are based on nanoscale conductors…

The Majorana edge states of the Kitaev chain model have attracted extensive attention on their stability and experimental realization. One of the interesting aspects is finding the exotic proximity effect, which guarantees the presence of…

Superconductivity · Physics 2022-02-16 Junmo Jeon , SungBin Lee

Magnet-superconductor hybrid (MSH) systems represent promising platforms to host Majorana zero modes (MZMs), the elemental building blocks for fault-tolerant quantum computers. Theoretical description of such MSH structures is mostly based…

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

The Majorana zero mode in the semiconductor-superconductor nanowire is one of the promising candidates for topological quantum computing. Recently, in islands of nanowires, subgap-state energies have been experimentally observed to…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Zhan Cao , Hao Zhang , Hai-Feng Lü , Wan-Xiu He , Hai-Zhou Lu , X. C. Xie

It is difficult to unambiguously confirm the existence of Majorana zero modes (MZMs) due to the absence of smoking-gun signatures in charge transport measurements. Recent studies suggest that the spin degree of freedom of MZMs may provide…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Li Chen , Ying-Hai Wu , Xin Liu

Majorana zero modes are expected to arise in semiconductor-superconductor hybrid systems, with potential topological quantum computing applications. One limitation of this approach is the need for a relatively high external magnetic field…

We explore possible signatures for observing Majorana Fermions in the tunneling spectroscopy of high-Tc cuprate superconductors. We find that as long as the Rashba spin orbit interaction is in presence either through proximity effect due to…

Superconductivity · Physics 2015-06-24 Jun-Ting Kao , Shin-Ming Huang , Chung-Yu Mou , C. C. Tsuei

After a decade of intense theoretical and experimental efforts, demonstrating braiding of Majorana modes remains an unsolved problem in condensed matter physics due to platform specific challenges. In this work, we propose topological…

Mesoscale and Nanoscale Physics · Physics 2022-10-20 Shiva T. Konakanchi , Jukka I. Väyrynen , Yong P. Chen , Pramey Upadhyaya , Leonid P. Rokhinson

The oscillation of Majorana modes with near zero energy plays a very important role for ascertaining Majorana fermions. The edge states, which also have almost-zero-energy in one-dimensional Su-Schrieffer-Heeger chain (SSHc), have been…

Quantum Physics · Physics 2021-09-13 Yang Zhang , Wei Nie , Yu-xi Liu

There has been experimental evidence for the Majorana zero modes (MZMs) in solid state systems, which are building blocks for potential topological quantum computing. It is important to design devices, in which MZMs are easy to manipulate…

Superconductivity · Physics 2023-09-20 Chuang Li , Xun-Jiang Luo , Li Chen , Dong E. Liu , Fu-Chun Zhang , Xin Liu

Recent experiments show the possibility of realization of the Majorana quasiparticles at the end of the low dimensional structures. In this type of systems, interplay between spin orbit coupling, superconductivity and magnetic field leads…

Mesoscale and Nanoscale Physics · Physics 2019-04-16 Aksel Kobiałka , Andrzej Ptok

A topological insulator nanowire, proximity-coupled to an ordinary bulk s-wave superconductor and subject to a longitudinal applied magnetic field, is shown to realize a one-dimensional topological superconductor with unpaired Majorana…

Mesoscale and Nanoscale Physics · Physics 2011-11-17 A. Cook , M. Franz

Majorana corner modes appearing in two-dimensional second-order topological superconductors have great potential applications for fault-tolerant topological quantum computations. We demonstrate that in the presence of an in-plane magentic…

Superconductivity · Physics 2021-04-07 S. Ikegaya , W. B. Rui , D. Manske , Andreas P. Schnyder

We propose the manipulation of Majorana edge states via hybridization and spin currents in a nanowire spin transistor. The spin transistor is based on a heterostructure nanowire comprising of semiconductors with large and small g-factors…

Mesoscale and Nanoscale Physics · Physics 2014-02-27 Amrit De , Alexey A. Kovalev