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Related papers: Majorana Zero Modes and Topological Quantum Comput…

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We propose the concept of a device based on a square-shaped sample of a two-dimensional second-order topological helical superconductor which hosts two zero-dimensional Majorana quasiparticles at the corners. The two zero-energy modes rely…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Tudor E. Pahomi , Manfred Sigrist , Alexey A. Soluyanov

Braiding Majorana zero modes (MZMs) is the key procedure toward topological quantum computation. We show such braiding can be well performed in a parallel semiconductor-superconductor nanowire structure. Considering the fact that the…

Mesoscale and Nanoscale Physics · Physics 2020-10-27 Wenqin Chen , Jiachen Wang , Yijia Wu , Jie Liu , X. C. Xie

Spatial separation of Majorana zero modes distinguishes trivial from topological midgap states and is key to topological protection in quantum computing applications. Although signatures of Majorana zero modes in tunneling spectroscopy have…

Mesoscale and Nanoscale Physics · Physics 2020-04-28 M. T. Deng , S. Vaitiekénas , E. Prada , P. San-Jose , J. Nygård , P. Krogstrup , R. Aguado , C. M. Marcus

Qubits built out of Majorana zero modes (MZMs) constitute the primary path towards topologically protected quantum computing. Simulating the braiding process of multiple MZMs corresponds to the quantum dynamics of a superconducting…

Quantum Physics · Physics 2023-11-14 Eric Mascot , Themba Hodge , Dan Crawford , Jasmin Bedow , Dirk K. Morr , Stephan Rachel

Majorana zero modes are fractional quantum excitations appearing in pairs, each pair being a building block for quantum computation . Some possible signatures of these excitations have been reported as zero bias peaks at endpoints of…

Majorana zero modes (MZMs) are bound midgap topological excitations at the ends of a 1D topological superconductor, which must come in pairs. If the two MZMs in the pair are sufficiently well-separated by a distance much larger than their…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Haining Pan , Sankar Das Sarma

In condensed matter physics, non-Abelian statistics for Majorana zero modes (or Majorana Fermions) is very important, really exotic, and completely robust. The race for searching Majorana zero modes and verifying the corresponding…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 Xiao-Ming Zhao , Cui-Xian Guo , Meng-Lei Yang , Heng-Wang , Wu-Ming Liu , Su-Peng Kou

Topological quantum computation based on anyons is a promising approach to achieve fault-tolerant quantum computing. The Majorana zero modes in the Kitaev chain are an example of non-Abelian anyons where braiding operations can be used to…

We consider a simple conceptual question with respect to Majorana zero modes in semiconductor nanowires: Can the measured non-ideal values of the zero-bias-conductance-peak in the tunneling experiments be used as a characteristic to predict…

Mesoscale and Nanoscale Physics · Physics 2016-07-22 S. Das Sarma , Amit Nag , Jay D. Sau

The boundary of topological superconductors might lead to the appearance of Majorana edge modes, whose non-trivial exchange statistics can be used for topological quantum computing. In branched nanowire networks one can exchange Majorana…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 C. Tutschku , R. W. Reinthaler , C. Lei , A. H. MacDonald , E. M. Hankiewicz

Zero--energy Majorana quasiparticles can be induced at the edge of a low dimensional systems. Non--Abelian statistics of this state makes it a good candidate for the realization of quantum computing. From the practical point of view, it is…

Mesoscale and Nanoscale Physics · Physics 2019-02-04 Aksel Kobiałka , Andrzej Ptok

Majorana zero mode (MZM) exhibits inherent resilience to local parametric fluctuations, due to the topological protection mechanism in the non-Abelian braiding statistics of the anyonic quasiparticles. In this paper, we construct the…

Quantum Physics · Physics 2025-11-19 Zhu-yao Jin , Jun Jing

Numerical calculations for Majorana zero modes on a one-dimensional chain are performed using the technique of block diagonalization for general parameter settings. It is found that Majorana zero modes occur near the ends of the chain and…

Quantum Physics · Physics 2014-08-20 Lei Chen , W. LiMing , Jia-Hui Huang

Unpaired Majorana zero-modes are central to topological quantum computation schemes as building blocks of topological qubits, and are therefore under intense experimental and theoretical investigation. Their generalizations to parafermions…

Mesoscale and Nanoscale Physics · Physics 2023-06-09 Shu-Wei Liu , Li-kun Shi , Ashley M. Cook

Majorana zero modes are anyons obeying non-Abelian exchange statistics distinct from fermions or bosons. While significant progresses have been achieved in the past two decades in searching for these exotic excitations in solid-state…

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…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 Aksel Kobiałka , Andrzej Ptok

Recent experimental efforts towards the detection of Majorana bound states have focused on creating the conditions for topological superconductivity. Here we demonstrate an alternative route, which achieves fully localised zero-energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Pablo San-Jose , Jorge Cayao , Elsa Prada , Ramón Aguado

Majorana zero modes are well studied in the gapped phases of topological systems. We investigate Majorana zero modes at the topological quantum criticality in one dimensional topological superconducting model with longer range interaction.…

Strongly Correlated Electrons · Physics 2021-07-15 S Rahul , Ranjith R Kumar , Y R Kartik , Sujit Sarkar

We consider a new model system supporting Majorana zero modes based on semiconductor nanowires with a full superconducting shell. We demonstrate that, in the presence of spin-orbit coupling in the semiconductor induced by a radial electric…

We propose and analyze a physical system capable of performing topological quantum computation with Majorana zero modes (MZM) in a one-dimensional topological superconductor (1DTS). One of the leading methods to realize quantum gates in…

Quantum Physics · Physics 2021-06-02 Marek Narozniak , Matthieu Dartiailh , Jonathan P. Dowling , Javad Shabani , Tim Byrnes