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We demonstrate that Majorana fermions exist in edges of systems and in a vortex core even for superconductors with nodal excitations such as the d-wave pairing state under a particular but realistic condition in the case with an…

Superconductivity · Physics 2011-02-11 Masatoshi Sato , Satoshi Fujimoto

We present a new scheme for Majorana modes in systems with nonsymmporhic-symmetry-protected band degeneracy. We reveal that when the gapless fermionic excitations are encoded with conventional superconductivity and magnetism, which can be…

Superconductivity · Physics 2024-10-10 Zhongyi Zhang , Zhenfei Wu , Chen Fang , Fu-chun Zhang , Jiangping Hu , Yuxuan Wang , Shengshan Qin

Magnet-superconductor hybrid (MSH) systems represent promising platforms to host Majorana zero modes (MZMs), the elemental building blocks for fault-tolerant quantum computers. Theoretical description of such MSH structures is mostly based…

Multiple zero-energy Majorana fermions (MFs) with spatially overlapping wave functions can survive only if their splitting is prevented by an underlying symmetry. Here we show that, in quasi-one-dimensional (Q1D) time reversal invariant…

Mesoscale and Nanoscale Physics · Physics 2015-07-30 E. Dumitrescu , T. D. Stanescu , S. Tewari

We show the appearance of an unconventional Majorana zero mode whose wave function splits into multiple parts located at different ends of different topological superconductors, hereinafter referred to as a multi-locational Majorana zero…

Superconductivity · Physics 2024-07-16 Yutaro Nagae , Andreas P. Schnyder , Yukio Tanaka , Yasuhiro Asano , Satoshi Ikegaya

We show that the boundary charge and spin can be used as alternative signatures of the topological phase transition in topological models such as semiconducting nanowires with strong Rashba spin-orbit interaction in the presence of a…

Mesoscale and Nanoscale Physics · Physics 2018-07-17 Marcel Serina , Daniel Loss , Jelena Klinovaja

One-dimensional (1D) topological superconductivity is a state of matter that is not found in nature. However, it can be realised, for example, by inducing superconductivity into the quantum spin Hall edge state of a two-dimensional…

The interplay of disorder and short finite wire length is the crucial physics hindering progress in the semiconductor-superconductor nanowire platform for realizing non-Abelian Majorana zero modes (MZM). Disorder effectively segments the…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Haining Pan , Sankar Das Sarma

Odd-frequency superconductivity is an exotic phase of matter in which Cooper pairing between electrons is entirely dynamical in nature. Majorana zero modes exhibit pure odd-frequency superconducting correlations due to their specific…

Superconductivity · Physics 2020-03-11 Dushko Kuzmanovski , Annica M. Black-Schaffer , Jorge Cayao

Topologically protected Majorana zero modes (MZMs) have attracted intense interest due to their potential application in fault-tolerant quantum computation (TQC). Graphene nanoribbons, with tunable edge terminations and compatibility with…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Shubhanshu Karoliya , Sumanta Tewari , Gargee Sharma

It is known that a non-local complex fermion can be written in terms of two Majorana fermions. We exploit this fact to explain the system of two Majorana zero modes bound to a vortex and an anti-vortex, on the surface of a topological…

High Energy Physics - Theory · Physics 2022-11-10 Mehran Zahiri Abyaneh , Mehrdad Farhoudi

By solving the Bogoliubov--De Gennes equations analytically, we derive the fermionic zero-modes satisfying the Majorana property that exist in vortices of a two-dimensional $s$-wave Fermi superfluid with spin-orbit coupling and Zeeman…

Quantum Gases · Physics 2019-11-19 L. A. Toikka

We consider Ge/Si core/shell nanowires with hole states coupled to an $s$-wave superconductor in the presence of electric and magnetic fields. We employ a microscopic model that takes into account material-specific details of the band…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 Franziska Maier , Jelena Klinovaja , Daniel Loss

The coherence length of two Majorana zero energy modes in a p-wave topological superconductor is inversely proportional to the superconducting order parameter. We studied the finite size effect of the Majorana zero modes at vortices in a…

Superconductivity · Physics 2023-06-14 Bo Fu , Shun-Qing Shen

We study topological superconductor in one-dimensional (1D) mosaic lattice whose on-site potentials are modulated for equally spaced sites. When the system is topologically nontrivial, Majorana zero modes appear at the two ends of the 1D…

Disordered Systems and Neural Networks · Physics 2020-12-15 Qi-Bo Zeng , Rong Lü , Li You

For two- and three-dimensional topological insulators whose unit cells consist of multiple sublattices, the boundary terminating at which type of sublattice can affect the time-reversal invariant momentum at which the Dirac points of…

Superconductivity · Physics 2022-12-28 Di Zhu , Bo-Xuan Li , Zhongbo Yan

Semiconducting nanowires in proximity to superconductors are among promising candidates to search for Majorana fermions and topologically protected degeneracies which may ultimately be used as building blocks for topological quantum…

Superconductivity · Physics 2011-10-10 Jay D. Sau , B. I. Halperin , K. Flensberg , S. Das Sarma

Recent years saw the complete classification of topological band structures, revealing an abundance of topological crystalline insulators. Here we theoretically demonstrate the existence of topological materials beyond this framework,…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 Daniel Varjas , Alexander Lau , Kim Pöyhönen , Anton R. Akhmerov , Dmitry I. Pikulin , Ion Cosma Fulga

We here explore Majorana Fermion states in an s-wave superfluid of cold atoms in the presence of spin-orbital coupling and an additional harmonic potential. The superfluid boundary is induced by a harmonic trap. Two locally separated…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Tao Zhou , Z. D. Wang

When subjected to quasiperiodic driving protocols, superconducting systems have been found to harbor robust time-quasiperiodic Majorana modes, extending the concept beyond static and Floquet systems. However, the presence of incommensurate…

Mesoscale and Nanoscale Physics · Physics 2024-07-22 Zihao Qi , Ilyoun Na , Gil Refael , Yang Peng