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The transport through a metal-superconductor interface is governed by a special charge conversion process, the Andreev reflection, where each incident electron drags another electron with itself to form a Cooper pair. At the normal side a…

Superconductivity · Physics 2011-04-25 A. Geresdi , A. Halbritter , G. Mihály

I. Introduction (What is new in RMT, Superconducting quasiparticles, Experimental platforms) II. Topological superconductivity (Kitaev chain, Majorana operators, Majorana zero-modes, Phase transition beyond mean-field) III. Fundamental…

Mesoscale and Nanoscale Physics · Physics 2015-09-07 C. W. J. Beenakker

Superconductivity and the quantum Hall effect are considered to be two cornerstones of condensed matter physics. The realization of hybrid structures where these two effects coexist has recently become an active field of research. In this…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

We investigate the full counting statistics (FCS) of spin-conserving and spin-flip charge transitions in Pauli-spin blockade regime of a GaAs double quantum dot. A theoretical model is proposed to evaluate all spin-conserving and spin-flip…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Sadashige Matsuo , Kazuyuki Kuroyama , Shunsuke Yabunaka , Sascha R. Valentin , Arne Ludwig , Andreas D. Wieck , Seigo Tarucha

We study the transport of chiral Majorana edge modes (CMEMs) in a hybrid quantum anomalous Hall insulator-topological superconductor (QAHI-TSC) system in which the TSC region contains a Josephson junction and a cavity. The Josephson…

Mesoscale and Nanoscale Physics · Physics 2018-10-23 Yan-Feng Zhou , Zhe Hou , Peng Lv , X. C. Xie , Qing-Feng Sun

We consider the transport of electrons passing through a mesoscopic device possessing internal dynamical quantum degrees of freedom. The mutual interaction between the system and the conduction electrons contributes to the current…

Mesoscale and Nanoscale Physics · Physics 2010-07-08 Christopher Birchall , Henning Schomerus

We investigate electrical transport through a single-electron transistor coupled to a nanomechanical oscillator. Using a combination of a master-equation approach and a numerical Monte Carlo method, we calculate the average current and the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. B. Doiron , W. Belzig , C. Bruder

We study the stationary Josephson current in a junction between a topological and an ordinary (topologically trivial) superconductor. Such an S-TS junction hosts a Majorana zero mode that significantly influences the current-phase relation.…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 P. A. Ioselevich , P. M. Ostrovsky , M. V. Feigelman

The unambiguous identification of Majorana zero modes (MZMs) is one of the most outstanding problems of condensed matter physics. Thermal transport provides a detection tool that is sensitive to these chargeless quasiparticles. We study…

Mesoscale and Nanoscale Physics · Physics 2024-08-28 Raffael L. Klees , Daniel Gresta , Jonathan Sturm , Laurens W. Molenkamp , Ewelina M. Hankiewicz

It is generally thought that adiabatic exchange of two identical particles is impossible in one spatial dimension. Here we describe a simple protocol that permits adiabatic exchange of two Majorana fermions in a one-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2015-04-23 Ching-Kai Chiu , M. M. Vazifeh , M. Franz

We study the full counting statistics of current of large open systems through the application of random matrix theory to transition-rate matrices. We develop a method for calculating the ensemble-averaged current-cumulant generating…

Statistical Mechanics · Physics 2014-01-31 Uliana Mordovina , Clive Emary

We show a perturbation theory of the Josephson transport through ferromagnetic insulators (FIs). Recently we have found that the appearance of the atomic scale 0-pi transition in such junctions based on numerical calculations. In order to…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 Shiro Kawabata , Yukio Tanaka , Alexander A. Golubov , Andrey S. Vasenko , Satoshi Kashiwaya , Yasuhiro Asano

We examine the heat and charge transport of a driven topological superconductor. Our particular system of interest consists of a Y-junction of topological superconducting wires, hosting non-Abelian Majorana zero modes at their edges. The…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Thomas Simons , Dganit Meidan , Alessandro Romito

Single electron pumping based on the topological property of Majorana fermions (MFs) is proposed. The setup consists of a quantum dot and four nano topological superconductors (TSs) connected by constriction junctions, with an additional…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Qi-Feng Liang , Zhi Wang , Xiao Hu

We present a theory of frequency-dependent counting statistics of electron transport through nanostructures within the framework of Markovian quantum master equations. Our method allows the calculation of finite-frequency current cumulants…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. Marcos , C. Emary , T. Brandes , R. Aguado

We present a thermodynamic formalism to study the full counting statistics (FCS) of charge transport through a quantum dot coupled to two leads in the resonant-level model. We show that a close analogue of equilibrium phase transitions…

Statistical Mechanics · Physics 2012-12-21 Sam Genway , James M. Hickey , Juan P. Garrahan , Andrew D. Armour

We present a theoretical analysis of low-energy quantum transport in coupled Majorana box devices. A single Majorana box represents a Coulomb-blockaded mesoscopic superconductor proximitizing two or more long topological nanowires. The box…

Mesoscale and Nanoscale Physics · Physics 2018-05-18 Matthias Gau , Stephan Plugge , Reinhold Egger

We study a heterostructure which consists of a topological insulator and a superconductor with a hole. The hole pins a vortex. The system supports a robust Majorana fermion state bound to the vortex core. We investigate the possibility of…

Strongly Correlated Electrons · Physics 2014-03-26 R. S. Akzyanov , A. V. Rozhkov , A. L. Rakhmanov , Franco Nori

A theory of electron counting statistics in quantum transport is presented. It involves an idealized scheme of current measurement using a spin 1/2 coupled to the current so that it precesses at the rate proportional to the current. Within…

Condensed Matter · Physics 2008-04-12 L. S. Levitov , H. -W. Lee , G. B. Lesovik

Charge transport in tunnel junctions between singlet anisotropically paired superconductors is investigated theoretically making use of the Eilenberger equations for the quasiclassical Green functions. For specularly reflecting tunnel…

Condensed Matter · Physics 2008-02-03 Yury S. Barash , Anatoly A. Svidzinsky