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In this tutorial paper, we provide an introduction to the briskly expanding research field of Majorana fermions in topological superconductors. We discuss several aspects of topological superconductivity and the advantages it brings to…

We consider transport properties of a hybrid device composed by a quantum dot placed between normal and superconducting reservoirs, and coupled to a Majorana nanowire: a topological superconducting segment hosting Majorana zero-modes at the…

Superconductivity · Physics 2021-09-03 L. S. Ricco , J. E. Sanches , Y. Marques , M. de Souza , M. S. Figueira , I. A. Shelykh , A. C. Seridonio

A minimal model for the hybrid superconductor-semiconductor nanowire Majorana platform is developed that fully captures the effects of the low-energy renormalization of the nanowire modes arising from the presence of the parent…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Tudor D. Stanescu , Sankar Das Sarma

Finite-length one-dimensional topological superconductor wires host localized Majorana zero modes at their ends. In realistic models, these appear only after a topological quantum critical point is crossed by external tuning of parameters.…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 William S. Cole , Jay D. Sau , S. Das Sarma

Superconductivity in topological materials has drawn a significant interest of the scientific community as these materials provide a hint of the existence of Majorana fermions conceived from the quantized thermal conductivity, a zero-biased…

Superconductivity · Physics 2022-04-27 M. M. Sharma , Prince Sharma , N. K. Karn , V. P. S. Awana

Under certain conditions, a fermion in a superconductor can separate in space into two parts known as Majorana zero modes, which are immune to decoherence from local noise sources and are attractive building blocks for quantum computers.…

Superconductivity · Physics 2020-04-14 Sujit Manna , Peng Wei , Yingming Xie , Kam Tuen Law , Patrick Lee , Jagadeesh Moodera

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

Recently, superconductors with higher-order topology have stimulated extensive attention and research interest. Higher-order topological superconductors exhibit unconventional bulk-boundary correspondence, thus allow exotic…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Xiao-Ting Chen , Chun-Hui Liu , Dong-Hui Xu , Chui-Zhen Chen

In this paper, we investigate the non-Markovian quantum transport dynamics of a two-terminal Majorana device that is made of an asymmetric topological superconducting chain coupled to two leads. This asymmetric superconducting chain is…

Strongly Correlated Electrons · Physics 2022-07-20 Chuan-Zhe Yao , Wei-Min Zhang

We present a comprehensive investigation into the emergence of interface-bound states, particularly Majorana zero modes (MZMs), in a lateral heterostructure composed of two three-dimensional topological insulators (TIs), Bi$_2$Se$_3$ and…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 Yoonkang Kim

Topological materials are of great interest for applications in quantum computing, providing intrinsic robustness against environmental noises. A popular direction is to look for Majorana modes in integrated systems interfaced with…

Mesoscale and Nanoscale Physics · Physics 2018-02-19 Zhigang Song

Topological superconductors can support localized Majorana states at their boundaries. These quasi-particle excitations have non-Abelian statistics that can be used to encode and manipulate quantum information in a topologically protected…

We propose and analyze theoretically an experimental setup for detecting the elusive Majorana particle in semiconductor-superconductor heterostructures. The experimental system consists of one-dimensional semiconductor wire with strong…

Superconductivity · Physics 2010-08-16 Roman M. Lutchyn , Jay D. Sau , S. Das Sarma

Majorana bound states (MBSs) are quasiparticles which are their own antiparticles. They are predicted to emerge as zero-energy modes localized at the boundary of a topological superconductor. No intrinsic topological superconductor is known…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 William F. Schiela , Peng Yu , Javad Shabani

We aim to study a one-dimensional $p$-wave superconductor with quasiperiodic on-site potentials. A modified real-space-Pfaffian method is applied to calculate the topological invariants. We confirm that the Majorana zero mode is protected…

Disordered Systems and Neural Networks · Physics 2021-07-20 Shujie Cheng , Yufei Zhu , Gao Xianlong , Tong Liu

Majorana fermions feature non-Abelian exchange statistics and promise fascinating applications in topological quantum computation. Recently, second-order topological superconductors (SOTSs) have been proposed to host Majorana fermions as…

Topological superconductors are associated with the appearance of Majorana bound states, with promising applications in topologically protected quantum computing. In this Letter, we study a system where a skyrmion crystal is interfaced with…

Superconductivity · Physics 2023-04-14 Kristian Mæland , Asle Sudbø

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…

Strongly Correlated Electrons · Physics 2021-04-23 Milan Kornjača , Victor L. Quito , Rebecca Flint

We theoretically consider the proximity effect in semiconductor-superconductor hybrid nanostructures, which are being extensively studied in the context of the ongoing search for non-Abelian Majorana fermions in solid state systems.…

Mesoscale and Nanoscale Physics · Physics 2013-05-21 Tudor D. Stanescu , S. Das Sarma

Motivated by the need to understand and simulate the ubiquitous experimentally-observed zero-bias conductance peaks in superconductor-semiconductor hybrid structures, we theoretically investigate the tunneling conductance spectra in…

Mesoscale and Nanoscale Physics · Physics 2020-04-03 Haining Pan , S. Das Sarma