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Realizing topological superconductivity and Majorana zero modes in the laboratory is one of the major goals in condensed matter physics. We review the current status of this rapidly-developing field, focusing on semiconductor-superconductor…

Superconductivity · Physics 2018-05-11 R. M. Lutchyn , E. P. A. M. Bakkers , L. P. Kouwenhoven , P. Krogstrup , C. M. Marcus , Y. Oreg

We discuss the thermoelectrical properties of nanowires hosting Majorana edge states. For a Majorana nanowire directly coupled to two normal reservoirs the thermopower always vanishes regardeless of the value of the Majorana hybridization.…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Rosa Lopez , Minchul Lee , Llorens Serra , Jong Soo Lim

In this work we investigate the spin-dependent transport through a double quantum dot embedded in a ferromagnetic tunnel junction and side attached to a topological superconducting nanowire hosting Majorana zero-energy modes. We focus on…

Mesoscale and Nanoscale Physics · Physics 2024-02-22 Piotr Majek , Ireneusz Weymann

Parafermion zero modes are generalizations of Majorana modes that underlie comparatively rich non-Abelian-anyon properties. We introduce exact mappings that connect parafermion chains, which can emerge in two-dimensional fractionalized…

Strongly Correlated Electrons · Physics 2018-09-12 Aaron Chew , David F. Mross , Jason Alicea

Quantum spin Hall-superconductor hybrids are promising sources of topological superconductivity and Majorana modes, particularly given recent progress on HgTe and InAs/GaSb. We propose a new method of revealing topological superconductivity…

Superconductivity · Physics 2014-11-11 Shu-Ping Lee , Karen Michaeli , Jason Alicea , Amir Yacoby

We study the properties of one-dimensional topological superconductors under the influence of generic boundary conditions mimicking the coupling with external environments. We identify a general four-parameters classification of the…

Mesoscale and Nanoscale Physics · Physics 2022-10-12 A. Maiellaro , F. Romeo , F. Illuminati

The Josephson current flowing in a junction between two superconductors is a striking manifestation of macroscopic quantum coherence, with applications in metrology and quantum information. This equilibrium current is related with the…

Mesoscale and Nanoscale Physics · Physics 2021-06-04 Julia S. Meyer , Manuel Houzet

Topological superconductors are believed to host exotic quasiparticle excitations known as Majorana zero-modes, with much of the evidence based on BCS mean-field theory. The direct application of mean-field arguments is tenuous in finite,…

Strongly Correlated Electrons · Physics 2025-09-03 Jaden Thomas-Markarian , Kartiek Agarwal , Ivar Martin

Parafermions are generalizations of Majorana fermions that may appear in interacting topological systems. They are known to be powerful building blocks of topological quantum computers. Existing proposals for realizations of parafermions…

Strongly Correlated Electrons · Physics 2019-02-20 C. Fleckenstein , N. Traverso Ziani , B. Trauzettel

Motivated by recent experiments we consider transport across an interacting magnetic impurity coupled to the Majorana zero mode (MZM) observed at the boundary of a topological superconductor (SC). In the presence of a finite tunneling…

Mesoscale and Nanoscale Physics · Physics 2022-03-11 Daniele Guerci , Andrea Nava

Topological superconductors, which support Majorana fermion excitations, have been the subject of intense studies due to their novel transport properties and their potential applications in fault-tolerant quantum computations. Here we…

Superconductivity · Physics 2014-02-24 James Jun He , Jiansheng Wu , Ting-Pong Choy , Xiong-Jun Liu , Y. Tanaka , K. T. Law

We consider a setup consisting of two coupled sheets of bilayer graphene in the regime of strong spin-orbit interaction, where electrostatic confinement is used to create an array of effective quantum wires. We show that for suitable…

Mesoscale and Nanoscale Physics · Physics 2020-03-20 Katharina Laubscher , Daniel Loss , Jelena Klinovaja

We consider the one-dimensional (1D) topological superconductor that may form in a planar superconductor-metal-superconductor Josephson junction in which the metal is is subjected to spin orbit coupling and to an in-plane magnetic field.…

Superconductivity · Physics 2019-03-27 Ady Stern , Erez Berg

We analyze the full counting statistics (FCS) of quantum dots in the Kondo regime contacted by normal and superconducting leads or an STM tip. To describe the Kondo resonance we use an effective model for the quantum dot in the Kondo regime…

Mesoscale and Nanoscale Physics · Physics 2012-05-01 H. Soller , A. Komnik

The possibility to observe and manipulate Majorana fermions as end states of one-dimensional topological superconductors has been actively discussed recently. In a quantum wire with strong spin-orbit coupling placed in proximity to a bulk…

Superconductivity · Physics 2014-07-31 Masaki Tezuka , Norio Kawakami

Majorana zero modes are expected to arise in semiconductor-superconductor hybrid systems, with potential topological quantum computing applications. One limitation of this approach is the need for a relatively high external magnetic field…

Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Pasquale Marra

Two-dimensional $p_x+ip_y$ topological superconductors host gapless Majorana edge modes, as well as Majorana bound states at the core of $h/2e$ vortices. Here we construct a model realizing the fractional counterpart of this phase: a…

Mesoscale and Nanoscale Physics · Physics 2018-01-03 Eran Sagi , Arbel Haim , Erez Berg , Felix von Oppen , Yuval Oreg

Majorana fermions, quantum particles that are their own anti-particles, are not only of fundamental importance in elementary particle physics and dark matter, but also building blocks for fault-tolerant quantum computation. Recently…

Quantum Gases · Physics 2013-11-06 Chunlei Qu , Zhen Zheng , Ming Gong , Yong Xu , Li Mao , Xubo Zou , Guangcan Guo , Chuanwei Zhang

Recent experiments reported the puzzling zero energy modes associated with ferromagnetic impurities in some iron-based superconductors with topological band structures. Here, we show that the sufficiently strong exchange coupling between a…

Superconductivity · Physics 2022-11-15 Rui Song , Ping Zhang , Xian-Tu He , Ning Hao