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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

Noncentrosymmetric superconductors with line nodes are expected to possess topologically protected flat zero-energy bands of surface states, which can be described as Majorana modes. We here investigate their fate if residual interactions…

Strongly Correlated Electrons · Physics 2020-02-05 Janna E. Rückert , Gergő Roósz , Carsten Timm

In 2D chiral p-wave superconductors, the zero-energy Majorana fermion excitations trapped at vortex cores follow non-Abelian statistics which can be potentially exploited to build a topological quantum computer. The Majorana states are…

Strongly Correlated Electrons · Physics 2010-10-01 Jay D. Sau , Roman M. Lutchyn , Sumanta Tewari , S. Das Sarma

We study an analytically solvable and experimentally relevant number-conserving periodically driven $p$-wave superconductor. Such a system is found to support generalized Majorana zero and $\pi$ modes which, despite being non-Hermitian, are…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Raditya Weda Bomantara

What distinguishes trivial from topological superluids in interacting many-body systems where the number of particles is conserved? Building on a class of integrable pairing Hamiltonians, we present a number-conserving, interacting…

Mesoscale and Nanoscale Physics · Physics 2015-01-05 Gerardo Ortiz , Jorge Dukelsky , Emilio Cobanera , Carlos Esebbag , Carlo Beenakker

Vortices of several condensed matter systems are predicted to have zero-energy core excitations which are Majorana fermions. These exotic quasi-particles are neutral, massless, and expected to have non-Abelian statistics. Furthermore, they…

Strongly Correlated Electrons · Physics 2011-11-02 Yaacov E. Kraus , Ady Stern

The combination of two-dimensional Dirac surface states with s-wave superconductivity is expected to generate localized topological Majorana zero modes in vortex cores. Putative experimental signatures of these modes have been reported for…

Mesoscale and Nanoscale Physics · Physics 2022-07-18 Björn Sbierski , Max Geier , An-Ping Li , Matthew Brahlek , Robert G. Moore , Joel E. Moore

Topological superconductors represent one of the key hosts of Majorana-based topological quantum computing. Typical scenarios for one-dimensional topological superconductivity assume a broken gauge symmetry associated to a superconducting…

Superconductivity · Physics 2021-04-07 V. Vadimov , T. Hyart , J. L. Lado , M. Möttönen , T. Ala-Nissila

Realizing Majorana modes (MMs) in condensed-matter systems is of vast experimental and theoretical interests, and some signatures of MMs have been measured already. To facilitate future experimental observations and to explore further…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Qing-Jun Tong , Jun-Hong An , Jiangbin Gong , Hong-Gang Luo , C. H. Oh

One-dimensional p-wave superconductors are known to harbor Majorana bound states at their ends. Superconducting wires with a finite width W may have fermionic subgap states in addition to possible Majorana end states. While they do not…

Mesoscale and Nanoscale Physics · Physics 2012-04-05 G. Kells , D. Meidan , P. W. Brouwer

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

We investigate the local density of states, spectral function, and superconducting pair amplitudes for signatures of Majorana fermions in vortex cores in ferromagnetic and spin-orbit coupled semiconductor-superconductor heterostructures. We…

Superconductivity · Physics 2016-09-06 Kristofer Björnson , Annica M. Black-Schaffer

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

Multi-component electronic systems can appear in solid state systems with active orbital band structures. They exhibit richer structures of topological superconductivity beyond the conventional scenarios of spin singlet and triplet pairings…

Superconductivity · Physics 2017-11-08 Wang Yang , Tao Xiang , Congjun Wu

We propose a simple model consisting of a magnetic domain wall proximity-coupled to an $s$-wave superconductor for realization of Majorana zero-energy modes. A spin-dependent gauge transformation translates the rotating magnetic profile…

Strongly Correlated Electrons · Physics 2016-03-24 Babak Zare Rameshti , Yaser Hajati , Imam Makhfudz

Effects associated with the existence of isolated zero modes of Majorana fermions are discussed. It is argued that the quantization of this system necessarily contains highly extended quantum states and that populating and depopulating such…

Other Condensed Matter · Physics 2007-05-23 Gordon W. Semenoff , Pasquale Sodano

We investigate Majorana modes in a quantum spin chain with bond-dependent exchange interactions by studying its dynamics. Specifically, we consider two-time correlations for the Kitaev-Heisenberg (KH) Hamiltonian close to the so-called…

Quantum Physics · Physics 2022-07-27 Johannes Bjerlin , Anders S. Sørensen , Stephan Haas

We study the robustness of Majorana zero energy modes and minigaps of quasiparticle excitations in a vortex by numerically solving Bogoliubov-deGennes equations in a heterostructure composed of an \textit{s} -wave superconductor, a…

Superconductivity · Physics 2010-11-11 Li Mao , Chuanwei Zhang

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

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…

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