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Majorana fermions (MFs) are predicted to occur as zero-energy bound states in semiconductor nanowire-superconductor structures. However, in the presence of disorder or smooth confining potentials, these structures can also host…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 T. D. Stanescu , Sumanta Tewari

There has been recent interest in superconductor-magnetic insulator hybrid Rashba nanowire setups for potentially hosting Majorana zero modes at smaller external Zeeman fields. Using the non-equilibrium Green's function technique, we…

Mesoscale and Nanoscale Physics · Physics 2023-01-27 Roshni Singh , Bhaskaran Muralidharan

In search of fault-tolerant topological quantum computation (TQC), zero-bias conductance peak as a necessary signature of Majorana zero modes (MZMs) has been observed in a number of solid-state systems. Here, we present the signature of…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 Guang Yang , Zhaozheng Lyu , Junhua Wang , Jianghua Ying , Xiang Zhang , Jie Shen , Guangtong Liu , Jie Fan , Zhongqing Ji , Xiunian Jing , Fanming Qu , Li Lu

Bound states at interfaces between superconductors and other materials are a powerful tool to characterize the nature of the involved systems, and to engineer elusive quantum excitations. In-gap excitations of conventional s-wave…

Mesoscale and Nanoscale Physics · Physics 2020-06-18 J. L. Lado , M. Sigrist

Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers [1]. They are expected to exhibit non-Abelian particle statistics, in contrast to…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 S. M. Albrecht , A. P. Higginbotham , M. Madsen , F. Kuemmeth , T. S. Jespersen , J. Nygård , P. Krogstrup , C. M. Marcus

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…

Mesoscale and Nanoscale Physics · Physics 2013-01-09 S. Das Sarma , Jay D. Sau , Tudor D. Stanescu

Motivated by recent experiments we consider transport across an interacting magnetic impurity coupled to the Majorana zero mode (MZM) observed at the boundary of a topological superconductor (SC). In the presence of a finite tunneling…

Mesoscale and Nanoscale Physics · Physics 2022-03-11 Daniele Guerci , Andrea Nava

We investigate zero-bias conductance peaks that arise from coalescing subgap Andreev states, consistent with emerging Majorana zero modes, in hybrid semiconductor-superconductor wires defined in a two-dimensional InAs/Al heterostructure…

Recent tunneling conductance measurements on semiconductor-superconductor nanowires find zero-bias peaks to be ubiquitous across wide ranges of chemical potential and Zeeman energy. Motivated by this, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Benjamin D. Woods , Jun Chen , Sergey M. Frolov , Tudor D. Stanescu

Spatial separation of Majorana zero modes distinguishes trivial from topological midgap states and is key to topological protection in quantum computing applications. Although signatures of Majorana zero modes in tunneling spectroscopy have…

Mesoscale and Nanoscale Physics · Physics 2020-04-28 M. T. Deng , S. Vaitiekénas , E. Prada , P. San-Jose , J. Nygård , P. Krogstrup , R. Aguado , C. M. Marcus

The exploration of topological superconductivity and Majorana zero modes has become a rapidly developing field. Many types of proposals to realize topological superconductors have been presented, and significant advances have been recently…

Superconductivity · Physics 2019-07-11 Yupeng Li , Zhu-An Xu

Topological superconductivity is an exotic state of matter that supports Majorana zero-modes, which are surface modes in 3D, edge modes in 2D or localized end states in 1D. In the case of complete localization these Majorana modes obey…

In a finite one-dimensional non-Hermitian system, the number of zero modes does not necessarily reflect the topology of the system. This is known as the breakdown of the bulk-boundary correspondence and has led to misconceptions about the…

Statistical Mechanics · Physics 2025-02-06 K. Monkman , J. Sirker

Majorana zero modes (MZMs) are exotic excitations (in condensed matter systems) that have potential applications in topological quantum computation. Though MZMs have been predicted on many platforms, their existence of them is still under…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 Zhan Cao , Shumeng Chen , Gu Zhang , Dong E. Liu

Spin chains proximitized with superconducting condensates have emerged as one of the most promising platforms for the realization of Majorana modes. Here, we craft diluted spin chains atom-by-atom following seminal theoretical proposal…

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

Majorana zero modes, the elementary building blocks for the quantum bits of topological quantum computers, are known to suffer from hybridization as their wavefunctions begin to overlap. This breaks the ground state degeneracy, splitting…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 Cole Peeters , Themba Hodge , Stephan Rachel

We provide an argument based on flux insertion to show that certain superconductors with a non-trivial topological invariant have protected zero modes in their vortex cores. This argument has the flavor of a two dimensional index theorem…

Superconductivity · Physics 2015-05-18 Rahul Roy

Majorana bound states are zero-energy states predicted to emerge in topological superconductors and intense efforts seeking a definitive proof of their observation are still ongoing. A standard route to realize them involves antagonistic…

Strongly Correlated Electrons · Physics 2021-12-14 Sebastián A. Díaz , Jelena Klinovaja , Daniel Loss , Silas Hoffman

In this paper we find that confining a second-order topological superconductor with a harmonic potential leads to a proliferation of Majorana corner modes. As a consequence, this results in the formation of Majorana corner flat bands which…

Superconductivity · Physics 2020-03-05 Majid Kheirkhah , Yuki Nagai , Chun Chen , Frank Marsiglio
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