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As the condensed matter analog of Majorana fermion, the Majorana zero-mode is well known as a building block of fault-tolerant topological quantum computing. This review focuses on the recent progress of Majorana experiments, especially…

Mesoscale and Nanoscale Physics · Physics 2024-03-21 Ji-Bang Fu , Bin Li , Xin-Fang Zhang , Guang-Zheng Yu , Guang-Yao Huang , Ming-Tang Deng

Full-shell nanowires have been proposed as an alternative nanowire design in the search of topological superconductivity and Majorana zero modes (MZMs). They are hybrid nanostructures consisting of a semiconductor core fully covered by a…

Mesoscale and Nanoscale Physics · Physics 2024-03-25 Carlos Payá , Samuel D. Escribano , Andrea Vezzosi , Fernando Peñaranda , Ramón Aguado , Pablo San-Jose , Elsa Prada

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…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Simone Traverso , Niccolò Traverso Ziani , Maura Sassetti , Fernando Dominguez

One fundamental difficulty in realizing Majorana zero modes (MZMs) is the required high magnetic field, which causes serious issues, e.g., shrinks the superconducting gap, reduces topological region, and weakens their robustness against…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 Xiao-Hong Pan , Li Chen , Dong E. Liu , Fu-Chun Zhang , Xin Liu

Proximity-induced superconductivity in low-dimensional systems offers a powerful pathway to engineer topological superconducting phases in, otherwise, non-superconducting systems. These exotic phases are of fundamental and technological…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 M. García Olmos , Y. Baba , R. A. Molina , M. Amado

It has been proposed that a line junction between spiral magnet and superconductor or between ferromagnet and superconductor with Rashba spin-orbital coupling can produce Majorana zero mode (MZM) at the ends of the line. However, a strong…

Superconductivity · Physics 2019-03-19 Wenjie Ji , Xiao-Gang Wen

One promising avenue to study one-dimensional ($1$D) topological phases is to realize them in synthetic materials such as cold atomic gases. Intriguingly, it is possible to realize Majorana boundary modes in a $1$D number-conserving system…

Strongly Correlated Electrons · Physics 2018-10-17 Chun Chen , Wei Yan , C. S. Ting , Yan Chen , F. J. Burnell

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 show that Majorana fermions (MFs) exist in two- and three-dimensional (2D,3D) fermionic optical lattices with strictly 1D spin-orbit coupling (SOC) which has already been realized in ex- periments. For a quasi-1D topological BCS…

Quantum Gases · Physics 2015-08-18 Chunlei Qu , Ming Gong , Yong Xu , Sumanta Tewari , Chuanwei Zhang

The goal of creating topologically protected qubits using non-Abelian anyons is currently one of the most exciting areas of research in quantum condensed matter physics. Majorana zero modes (MZM), which are non-Abelian anyons predicted to…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Berthold Jäck , Yonglong Xie , Ali Yazdani

Recent experimental efforts towards the detection of Majorana bound states have focused on creating the conditions for topological superconductivity. Here we demonstrate an alternative route, which achieves fully localised zero-energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Pablo San-Jose , Jorge Cayao , Elsa Prada , Ramón Aguado

Topological insulator/superconductor two-dimensional heterostructures are promising candidates for realizing topological superconductivity and Majorana modes. In these systems, a vortex pinned by a pre-fabricated antidot in the…

One-dimensional topological superconductors are known to host Majorana zero modes at domain walls terminating the topological phase. Their nonabelian nature allows for processing quantum information by braiding operations which are…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Torsten Karzig , Gil Refael , Felix von Oppen

Majorana zero modes are quasiparticle states localized at the boundaries of topological superconductors that are expected to be ideal building blocks for fault-tolerant quantum computing. Several observations of zero-bias conductance peaks…

We study the formation of Majorana states in quasi-1D and 2D square lattices with open boundary conditions, with general anisotropic Rashba coupling, in the presence of an applied Zeeman field and in the proximity of a superconductor. For…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 N. Sedlmayr , J. M. Aguiar-Hualde , C. Bena

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

Certain types of topological superconductors and superfluids are known to host protected Majorana zero modes in cores of Abrikosov vortices. When such vortices are arranged in a dense periodic lattice one expects zero modes from neighboring…

Superconductivity · Physics 2015-10-28 Tianyu Liu , M. Franz

We study Majorana zero modes properties in cylindrical cross-section semiconductor quantum wires based on the $k \cdot p$ theory and a discretized lattice model. Within this model, the influence of disorder potentials in the wire and…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 Chao Lei , Guru Khalsa , Jiangfeng Du , Allan H. MacDonald

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…

Current proposals for topological quantum computation (TQC) based on Majorana zero modes (MZM) have mostly been focused on coupled-wire architecture which can be challenging to implement experimentally. To explore alternative building…

Mesoscale and Nanoscale Physics · Physics 2024-06-03 Aidan Winblad , Hua Chen