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It is predicted that a vortex in a topological superconductor contains a Majorana zero mode (MZM). The confirmative Majorana signature, i.e., the $2e^2/h$ quantized conductance, however is easily sabotaged by unavoidable interruptions, e.g.…

Superconductivity · Physics 2023-07-11 Gu Zhang , Chuang Li , Geng Li , Can-Li Song , Xin Liu , Fu-Chun Zhang , Dong E. Liu

Recent tunneling spectroscopy experiments in semiconducting nanowires with proximity-induced superconductivity have reported robust zero-bias conductance peaks. Such a feature can be compatible with the existence of topological Majorana…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Esben Bork Hansen , Jeroen Danon , Karsten Flensberg

We study Majorana bound states in a disordered chain of semiconductor quantum dots proximity-coupled to an s-wave superconductor. By calculating its topological quantum number, based on the scattering-matrix method and a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2016-04-22 P. Zhang , Franco Nori

Robust topologically trivial low-energy Andreev bound states (ABSs) induced by position-dependent effective potentials have recently come under renewed focus, in light of a remarkable set of experiments observing robust quantized zero-bias…

Mesoscale and Nanoscale Physics · Physics 2019-10-31 Tudor D. Stanescu , Sumanta Tewari

We show that partially separated Andreev bound states (ps-ABSs), comprised of pairs of overlapping Majorana bound states (MBSs) emerging in quantum dot-semiconductor-superconductor heterostructures, produce robust zero bias conductance…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 C. Moore , Chuanchang Zeng , T. D. Stanescu , Sumanta Tewari

Dynamical structure factor (S(k,$\omega$)) is calculated for the one-dimensional (1D) transverse field Ising model, and its recent extension to include a three spin term, with quenched binary disorder. We study the low energy modes for…

Disordered Systems and Neural Networks · Physics 2018-08-17 Jian Wang , Sudip Chakravarty

Noncentrosymmetric superconductors with strong spin-orbit coupling and the B phase of ${}^3$He are possible realizations of topological superconductors with time-reversal symmetry. The nontrivial topology of these time- reversal invariant…

Superconductivity · Physics 2015-01-27 Raquel Queiroz , Andreas P. Schnyder

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

Probing an isolated Majorana zero mode is predicted to reveal a tunneling conductance quantized at $2e^2/h$ at zero temperature. Experimentally, a zero-bias peak (ZBP) is expected and its height should remain robust against relevant…

For the past decade, Majorana quasiparticles have become one of the hot topics in condensed matter research. Besides the fundamental interest in the realization of particles being their own antiparticles, going back to basic concepts of…

Mesoscale and Nanoscale Physics · Physics 2025-02-12 Stephan Rachel , Roland Wiesendanger

The possibility to engineer artificial Kitaev chains in arrays of quantum dots coupled via narrow superconducting regions has emerged as an attractive way to overcome the disorder issues that complicate the realization and detection of…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Athanasios Tsintzis , Rubén Seoane Souto , Karsten Flensberg , Jeroen Danon , Martin Leijnse

Planar Josephson junctions are theoretically predicted to harbor zero-energy Majorana bound states (MBS) in a tunable two-dimensional geometry, at the two ends of the middle metallic channel. Here we show that three distinct topological…

Superconductivity · Physics 2025-10-14 Pankaj Sharma , Narayan Mohanta

Majorana modes can be engineered in arrays where quantum dots (QDs) are coupled via grounded superconductors, effectively realizing an artificial Kitaev chain. Minimal Kitaev chains, composed by two QDs, can host fully-localized Majorana…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 R. Seoane Souto , V. V. Baran , M. Nitsch , L. Maffi , J. Paaske , M. Leijnse , M. Burrello

Majorana zero-modes (MZMs) are spatially-localized zero-energy fractional quasiparticles with non-Abelian braiding statistics that hold a great promise for topological quantum computing. Due to its particle-antiparticle equivalence, an MZM…

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

The presence of a Majorana bound state in condensed matter systems is often associated to a zero bias peak in conductance measurements. Here, we analyze a system were this paradigm is violated. A Majorana bound state is always present at…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Christoph Fleckenstein , Felix Keidel , Bjoern Trauzettel , Niccolo Traverso Ziani

A vortex in an s-wave superconductor with a surface Dirac cone can trap a Majorana bound state with zero energy leading to a zero-bias peak (ZBP) of tunneling conductance. The iron-based superconductor FeTe$_x$Se$_{1-x}$ is one of the…

Superconductivity · Physics 2020-03-10 Ching-Kai Chiu , T. Machida , Yingyi Huang , T. Hanaguri , Fu-Chun Zhang

We develop a general theory to study strong random quenched disorder effects in systems of experimental relevance in the search for Majorana zero modes (MZM) in topological superconductors. Using the random matrix theory in a class D…

Mesoscale and Nanoscale Physics · Physics 2022-09-16 Haining Pan , Jay Deep Sau , Sankar Das Sarma

A number of recent works have discussed the issue of spin polarization of a Majorana zero mode in condensed matter systems. Here we show that the spin polarization density of a Majorana zero mode, computed as an average of the spin operator…

Mesoscale and Nanoscale Physics · Physics 2017-07-17 Tudor D. Stanescu , Sumanta Tewari

An antidot-pinned vortex in a three-dimensional topological insulator-superconductor platform hosts a Majorana zero mode (MZM). However, numerous Caroli-de Gennes-Matricon (CdGM) states coexist with it. We develop a general theory to study…

Superconductivity · Physics 2026-04-14 Zhibo Ren , Jukka I. Väyrynen