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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…

We consider time-reversal-symmetric two-channel semiconducting quantum wires proximity coupled to an s-wave superconductor. We analyze the requirements for a nontrivial topological phase and find that necessary conditions are 1) the…

介观与纳米尺度物理 · 物理学 2014-04-01 Erikas Gaidamauskas , Jens Paaske , Karsten Flensberg

Robust edge states and non-Abelian excitations are the trademark of topological states of matter, with promising applications such as "topologically protected" quantum memory and computing. While so far topological phases have been…

量子物理 · 物理学 2015-05-28 S. Diehl , E. Rico , M. A. Baranov , P. Zoller

A semiconducting nanowire with strong Rashba coupling and in proximity of a superconductor hosts Majorana edge modes. An array of such nanowires with inter-wire coupling gives an approximate description of a two-dimensional topological…

介观与纳米尺度物理 · 物理学 2021-01-08 Deepti Rana , Goutam Sheet

Topological quantum computing is based on braiding of Majorana zero modes encoding topological qubits. A promising candidate platform for Majorana zero modes is semiconductor-superconductor hybrid nanowires. The realization of topological…

We propose a method to coherently transfer quantum information, and to create entanglement, between topological qubits and conventional spin qubits. Our suggestion uses gated control to transfer an electron (spin qubit) between a quantum…

超导电性 · 物理学 2013-01-10 Martin Leijnse , Karsten Flensberg

Majorana zero modes have gained significant interest due to their potential applications in topological quantum computing and in the realization of exotic quantum phases. These zero-energy quasiparticle excitations localize at the vortex…

介观与纳米尺度物理 · 物理学 2024-08-13 Pasquale Marra , Daisuke Inotani , Takeshi Mizushima , Muneto Nitta

Proximity induced superconducting energy gap in the surface states of topological insulators has been predicted to host the much wanted Majorana fermions for fault tolerant quantum computation. Recent theoretically proposed architectures…

介观与纳米尺度物理 · 物理学 2018-11-26 Biplab Bhattacharyya , V. P. S. Awana , T. D. Senguttuvan , V. N. Ojha , Sudhir Husale

Theoretical research suggests a emergence of the Majorana bound states at the ends of the nanowires. Experimental verifications of said concept has already been executed, e.g., in superconductor/semiconductor nanowire devices where…

介观与纳米尺度物理 · 物理学 2020-12-01 Aksel Kobiałka , Andrzej Ptok

Topological superconductors are predicted to harbor exotic boundary states - Majorana zero-energy modes - whose non-Abelian braiding statistics present a new paradigm for the realization of topological quantum computing. Using…

This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana zero-modes) in topological superconductors. That "Holy Grail" of topological quantum information processing has not yet been reached in the…

介观与纳米尺度物理 · 物理学 2020-08-06 C. W. J. Beenakker

Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum…

介观与纳米尺度物理 · 物理学 2018-10-10 Biao Lian , Xiao-Qi Sun , Abolhassan Vaezi , Xiao-Liang Qi , Shou-Cheng Zhang

The non-Abelian exchange statistics of Majorana zero modes make them interesting for both technological applications and fundamental research. Unlike their non-Abelian counterpart, the Abelian contribution, $e^{i\theta}$, where $\theta$ is…

介观与纳米尺度物理 · 物理学 2026-02-06 Stijn R. de Wit , Emre Duman , A. Mert Bozkurt , Alexander Brinkman , Inanc Adagideli

Majorana fermions can be realized as quasiparticles in topological superconductors, with potential applications in topological quantum computing. Recently, lattices of magnetic adatoms deposited on the surface of s-wave superconductors -…

超导电性 · 物理学 2017-12-15 Stephan Rachel , Eric Mascot , Sagen Cocklin , Matthias Vojta , Dirk K. Morr

To guide experimental work on the search for Majorana zero-energy modes, we calculate the superconducting pairing symmetry of a three-dimensional topological insulator in combination with an s-wave superconductor. In analogy to the case of…

超导电性 · 物理学 2015-07-28 M. Snelder , A. A. Golubov , Y. Asano , A. Brinkman

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…

介观与纳米尺度物理 · 物理学 2013-11-27 Torsten Karzig , Gil Refael , Felix von Oppen

Altermagnetism provides new routes to realize Majorana zero modes with vanishing net magnetization. We consider a recently proposed heterostructure consisting of a semiconducting wire on top of an altermagnet and with proximity-induced…

介观与纳米尺度物理 · 物理学 2025-12-15 Andreas Hadjipaschalis , Sayed Ali Akbar Ghorashi , Jennifer Cano

The prospects for realizing a topological quantum computer have brightened since the apparent detection of Majorana fermions at the ends of semiconducting nanowires. These Majorana zero-modes persist in the presence of the strong disorder…

介观与纳米尺度物理 · 物理学 2016-08-02 Sonika Johri , Rahul Nandkishore

We investigate dynamical evolution of a topological memory that consists of two p-wave superconducting wires separated by a non-topological junction, focusing on the primary errors (i.e., qubit-loss) and secondary errors (bit and…

介观与纳米尺度物理 · 物理学 2025-07-22 Mia Conlon , Domenico Pellegrino , Johannes K. Slingerland , Shane Dooley , Graham Kells

There has been recent interest in superconductor-magnetic insulator hybrid Rashba nanowire setups for potentially hosting Majorana zero modes at smaller external Zeeman fields. Using the non-equilibrium Green's function technique, we…

介观与纳米尺度物理 · 物理学 2023-01-27 Roshni Singh , Bhaskaran Muralidharan