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A key property of Majorana zero modes is their protection against local perturbations. In the standard picture, this protection is guaranteed by a high degree of spatial nonlocality of the Majoranas, namely a suppressed wave-function…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Fernando Peñaranda , Ramón Aguado , Pablo San-Jose , Elsa Prada

In this work we consider superconductor-semiconductor hybrids containing both trivial and Majorana zero modes and explore their signatures in the Majorana polarization. In particular, we consider trivial zero energy states due to…

Mesoscale and Nanoscale Physics · Physics 2024-10-04 Oladunjoye A. Awoga , Jorge Cayao

In this work, we investigate the tunneling characteristics of Majorana zero modes (MZMs) in vortex lattices based on scanning tunneling microscopy measurement. We find that zero bias conductance does not reach the quantized value owing to…

Superconductivity · Physics 2024-02-27 Jiong Mei , Kun Jiang , Jiangping Hu

Topological photonics sheds light on some of the surprising phenomena seen in condensed matter physics that arise with the appearance of topological invariants. Optical waveguides provide a well-controlled platform to investigate effects…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Adrian J Menssen , Jun Guan , David Felce , Martin J Booth , Ian A Walmsley

The search for the Majorana fermions in condensed matter physics has attracted much attention, partially because they may be used for the fault-tolerant quantum computation. It has been predicted that the Majorana zero mode may exist in the…

Superconductivity · Physics 2019-09-05 Xiaoyu Chen , Mingyang Chen , Wen Duan , Xiyu Zhu , Huan Yang , Hai-Hu Wen

We theoretically study scanning gate microscopy of a superconductor-proximitized semiconducting wire focusing on the potential for detection of Majorana bound states. We exploit the possibility to create a local potential perturbation by…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 S. Maji , M. P. Nowak

One-dimensional topological superconductors accommodate a pair of Majorana zero modes at their ends. In an interferometer containing such a topological superconductor, electron transport is significantly affected by the Majorana zero modes…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Kyosuke Mizuno , Yuto Takarabe , Yositake Takane

The helical electron states on the surface of topological insulators or elemental Bismuth become unstable toward superconducting pairing formation when coupled to the charge or magnetic fluctuations. The latter gives rise to pairing…

Superconductivity · Physics 2019-10-23 Hossein Hosseinabadi , Mehdi Kargarian

The unambiguous detection of the Majorana zero mode (MZM), which is essential for future topological quantum computing, has been a challenge in recent condensed matter experiments. The MZM is expected to emerge at the vortex core of…

Superconductivity · Physics 2023-08-03 Tadashi Machida , Tetsuo Hanaguri

Two-dimensional second-order topological superconductors host zero-dimensional Majorana bound states at their boundaries. In this work, focusing on rotation-invariant crystalline topological superconductors, we establish a bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Elis Roberts , Jan Behrends , Benjamin Béri

A highlighting feature of Majorana bound states in two-dimensional topological superconductors is that they gain a phase factor of $\pi$ upon being orbited by a vortex. This work focuses on the vortex degree of freedom itself and…

Strongly Correlated Electrons · Physics 2016-06-29 Jeffrey C. Y. Teo , Mayukh Nilay Khan , Smitha Vishveshwara

Time-reversal invariant (TRI) Dirac and Weyl semimetals in three dimensions (3D) can host open Fermi arcs and spin-momentum locking Fermi loops on the surfaces. We find that when they become superconducting with $s$-wave pairing and the…

Superconductivity · Physics 2020-07-07 Zhongbo Yan , Zhigang Wu , Wen Huang

We study a one-dimensional $p$-wave superconductor subject to non-Hermitian quasiperiodic potentials. Although the existence of the non-Hermiticity, the Majorana zero mode is still robust against the disorder perturbation. The analytic…

Disordered Systems and Neural Networks · Physics 2021-03-24 Tong Liu , Shujie Cheng , Hao Guo , Gao Xianlong

We study a vortex chain in a thin film of a topological insulator with proximity-induced superconductivity---a promising platform to realize Majorana zero modes (MZMs)---by modeling it as a two-leg Majorana ladder. While each pair of MZMs…

Superconductivity · Physics 2017-06-16 Hsiang-Hsuan Hung , Jiansheng Wu , Kuei Sun , Ching-Kai Chiu

We develop a theory for the three-terminal nonlocal conductance in Majorana nanowires as existing in the superconductor-semiconductor hybrid structures in the presence of superconducting proximity, spin-orbit coupling, and Zeeman splitting.…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Haining Pan , Jay D. Sau , S. Das Sarma

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 study the magnetic susceptibility of a two-dimensional cone of Majorana modes localised at the surface of a three-dimensional time-reversal invariant topological superconductor belonging to class DIII. A field parallel to the surface…

Superconductivity · Physics 2019-01-09 Luca Chirolli , Francisco Guinea

Recent experiments have produced mounting evidence of Majorana zero modes in nanowire-superconductor hybrids. Signatures of an expected topological phase transition accompanying the onset of these modes nevertheless remain elusive. We…

Mesoscale and Nanoscale Physics · Physics 2016-06-13 Ryan V. Mishmash , David Aasen , Andrew P. Higginbotham , Jason Alicea

We demonstrate the successful simulation of $\sqrt{Z}$-, $\sqrt{X}$- and $X$-quantum gates using Majorana zero modes (MZMs) that emerge in magnetic vortices located in topological superconductors. We compute the transition probabilities and…

Mesoscale and Nanoscale Physics · Physics 2025-04-24 Maxwell Buss , Jasmin Bedow , Prashant Gupta , Dirk K. Morr

Semiconducting nanowires with strong Rashba spin-orbit coupling in the proximity with a superconductor and under a strong Zeeman field can potentially manifest Majorana zero modes at their edges and are a topical candidate for topological…

Mesoscale and Nanoscale Physics · Physics 2023-03-08 Arnav Arora , Abhishek Kejriwal , Bhaskaran Muralidharan