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We propose and study a parafermionic generalization of the topological Kondo effect. The latter has been predicted to arise for a Coulomb-blockaded mesoscopic topological superconductor (Majorana box), where at least three normal leads are…

Strongly Correlated Electrons · Physics 2018-06-26 Kyrylo Snizhko , Francesco Buccheri , Reinhold Egger , Yuval Gefen

Majorana zero modes (MZMs)--bearing potential applications for topological quantum computing--are verified in quasi-one-dimensional (1D) Fermion systems, including semiconductor nanowires, magnetic atomic chains, planar Josephson junctions.…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Shu-guang Cheng , Jie Liu , Haiwen Liu , Hua Jiang , Qing-feng Sun , X. C. Xie

Spin-polarized transport through a quantum dot side attached to a topological superconductor and coupled to a pair of normal leads is discussed in Coulomb and Kondo regimes. For discussion of Coulomb range equation of motion method with…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 D. Krychowski , S. Lipiński , G. Cuniberti

We investigate electron transport through multiterminal networks hosting Majorana bound states (MBS) in the framework of full counting statistics (FCS). In particular, we apply our general results to T-shaped junctions of two Majorana…

Mesoscale and Nanoscale Physics · Physics 2014-11-26 Luzie Weithofer , Patrik Recher , Thomas L. Schmidt

We show that Majorana fermions associated with Majorana flat bands emerge as zero energy modes on the [110] edge of single layer or multilayer nodal superconductors with $d_{x^2-y^2}$-wave pairing and Rashba spin-orbit coupling. Moreover,…

Superconductivity · Physics 2014-05-29 Noah F. Q. Yuan , Chris L. M. Wong , K. T. Law

We consider a model of a Josephson junction of two topological superconducting wires mediated by an interacting quantum dot. An additional normal electrode coupled to the dot from the top allows to probe its density of states. The Majorana…

Mesoscale and Nanoscale Physics · Physics 2019-03-07 Piotr Stefański

The zero-energy bound states at the edges or vortex cores of chiral p-wave superconductors should behave like majorana fermions. We introduce a model Hamiltonian that describes the tunnelling process when electrons are injected into such…

Superconductivity · Physics 2007-06-17 C. J. Bolech , Eugene Demler

We study the Majorana bound states arising in quasi-one-dimensional systems with Rashba spin-orbit coupling in the presence of an in-plane Zeeman magnetic field. Using two different methods, first, the numerical diagonalization of the…

Mesoscale and Nanoscale Physics · Physics 2017-12-12 Vardan Kaladzhyan , Julien Despres , Ipsita Mandal , Cristina Bena

Braiding Majorana zero modes (MZMs) is the key procedure toward topological quantum computation. However, the complexity of the braiding manipulation hinders its experimental realization. Here we propose an experimental setup composing of…

Mesoscale and Nanoscale Physics · Physics 2021-04-20 Jie Liu , Wenqin Chen , Ming Gong , Yijia Wu , X. C. Xie

We describe Majorana edge states of a semi-infinite wire using the complex band structure approach. In this method the edge state at a given energy is built as a superposition of evanescent waves. It is shown that the superposition can not…

Mesoscale and Nanoscale Physics · Physics 2013-02-27 Llorenç Serra

Majorana bound states have been proposed as building blocks for qubits on which certain operations can be performed in a topologically protected way using braiding. However, the set of these protected operations is not sufficient to realize…

Mesoscale and Nanoscale Physics · Physics 2013-03-08 Thomas L. Schmidt , Andreas Nunnenkamp , Christoph Bruder

A beam splitter consisting of two normal leads coupled to one end of a topological superconducting nanowire via double quantum dot is investigated. In this geometry, the linear current cross-correlations at zero temperature change signs…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Zhan Cao , Tie-Feng Fang , Qiao Chen , Hong-Gang Luo

Artificial Kitaev chains can be used to engineer Majorana bound states (MBSs) in superconductor-semiconductor hybrids. In this work, we realize a two-site Kitaev chain in a two-dimensional electrongas by coupling two quantum dots through a…

Majorana bound states are interesting candidates for applications in topological quantum computation. Low energy models allowing to grasp their properties are hence conceptually important. The usual scenario in these models is that two…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 N. Traverso Ziani , C. Fleckenstein , L. Vigliotti , B. Trauzettel , M. Sassetti

Majorana bound states are spatially localized superpositions of electron and hole excitations in the middle of a superconducting energy gap. A single qubit can be encoded nonlocally in a pair of spatially separated Majorana bound states.…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 Johan Nilsson , A. R. Akhmerov , C. W. J. Beenakker

We propose an alternative platform to observe Majorana bound states in solid state systems. High critical temperature cuprate superconductors can induce superconductivity, by proximity effect, in quasi one dimensional nanowires with strong…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 P. Lucignano , A. Mezzacapo , F. Tafuri , A. Tagliacozzo

It has been proposed that localized zero-energy Majorana states can be realized in a two-dimensional network of quasi-one-dimensional semiconductor wires that are proximity-coupled to a bulk superconductor. The wires should have strong…

Superconductivity · Physics 2015-06-03 Bertrand I. Halperin , Yuval Oreg , Ady Stern , Gil Refael , Jason Alicea , Felix von Oppen

Majorana bound states (MBSs) nested in a topological nanowire are predicted to manifest nonlocal correlations in the presence of a finite energy splitting between the MBSs. However, the signal of the nonlocal correlations has not yet been…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Hai-Feng Lu , Hai-Zhou Lu , Shun-Qing Shen

Spin chains proximitized with superconducting condensates have emerged as one of the most promising platforms for the realization of Majorana modes. Here, we craft diluted spin chains atom-by-atom following seminal theoretical proposal…

Majorana fermions (MFs) are predicted to occur as zero-energy bound states in semiconductor nanowire-superconductor structures. However, in the presence of disorder or smooth confining potentials, these structures can also host…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 T. D. Stanescu , Sumanta Tewari
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