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This is a colloquium-style introduction to the midgap excitations in superconductors known as Majorana fermions. These elusive particles, equal to their own antiparticle, may or may not exist in Nature as elementary building blocks, but in…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 C. W. J. Beenakker

We propose an alternative scenario for the propagation of thermal noise in a conductor. In this scenario, the noise in the emf (electromotive force) between two terminals cannot be described as a sum of contributions from uncorrelated…

Statistical Mechanics · Physics 2025-12-12 Jorge Berger , Guy Katriel

We study the decoherence of Majorana modes of a fermion chain, where the fermions interact with their nearest neighbours. We investigate the effect of dissipation and dephasing on the Majorana modes of a fermionic chain. The dissipative and…

Quantum Physics · Physics 2015-08-03 H. T. Ng

We derive a universal thermodynamic uncertainty relation for Fermionic coherent transport, which bounds the total rate of entropy production in terms of the mean and fluctuations of a single particle current. This bound holds for any…

Statistical Mechanics · Physics 2025-07-29 Kay Brandner , Keiji Saito

Theoretically, a pair of Majorana bound states in a topological superconductor forms a single fermionic level even at large separations, implying that the parity information is stored nonlocally. The nonlocality leads to a long-distance…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 Zheng Shi , Piet W. Brouwer , Karsten Flensberg , Leonid I. Glazman , Felix von Oppen

Majorana modes emerge in non-trivial topological phases at the edges of some specific materials, like proximitized semiconducting nanowires under a external magnetic field. Ideally, they are non-local states that are charge neutral…

Mesoscale and Nanoscale Physics · Physics 2018-09-13 Samuel D. Escribano , Alfredo Levy Yeyati , Elsa Prada

We study the thermoelectric transport through a single-level quantum dot (QD) coupled to two normal metallic leads and side-coupled to Majorana bound state (MBS). The Coulomb interaction in QD is considered. To investigate only the…

Mesoscale and Nanoscale Physics · Physics 2019-05-10 Chol Won Ri , Kum Hyok Jong , Song Jin Im , Hak Chol Pak

The quantum evolution after a metallic lead is suddenly connected to an electron system contains information about the excitation spectrum of the combined system. We exploit this type of "quantum quench" to probe the presence of Majorana…

Mesoscale and Nanoscale Physics · Physics 2014-10-16 R. Vasseur , J. P. Dahlhaus , J. E. Moore

We investigate theoretically thermal and electrical conductances for the system consisting of a quantum dot (QD) connected both to a pair of Majorana fermions residing the edges of a Kitaev wire and two metallic leads. We demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2018-02-21 L. S. Ricco , F. A. Dessotti , I. A. Shelykh , M. S. Figueira , A. C. Seridonio

Majorana fermions are a fascinating medium for discovering new phases of matter. However, the standard analytical tools are very limited in probing the non-perturbative aspects of interacting Majoranas in more than one dimensions. Here, we…

Strongly Correlated Electrons · Physics 2020-03-06 Paolo Maraner , Jiannis K. Pachos , Giandomenico Palumbo

We discuss the temperature-dependent thermoelectric transport properties of semiconductor nanostructures comprising a quantum dot coupled to quantum wires: the thermal dependence of the electrical conductance, thermal conductance, and…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 D. F. Aranguren-Quintero , E. Ramos , J. Silva-Valencia , M. S. Figueira , L. N. Oliveira , R. Franco

Exploiting the peculiar properties of proximity-induced superconductivity on the surface of a topological insulator, we propose a device which allows the creation of a Majorana fermion inside the core of a pinned Abrikosov vortex. The…

Mesoscale and Nanoscale Physics · Physics 2011-08-19 A. L. Rakhmanov , A. V. Rozhkov , Franco Nori

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

A thermoelectric voltage is induced in a junction, constituted of two dissimilar materials under a temperature gradient. Similarly, a thermosize voltage is expected to be induced in a junction made by the same material but having different…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Alhun Aydin , Jonas Fransson , Altug Sisman

We perform measurements of phase-slip-induced switching current events on different types of superconducting weak links and systematically study statistical properties of the switching current distributions. We employ two types of devices…

Superconductivity · Physics 2015-06-15 A. Murphy , P. Weinberg , T. Aref , U. Coskun , V. Vakaryuk , A. Levchenko , A. Bezryadin

We analyze the current-biased Shapiro experiment in a Josephson junction formed by two one-dimensional nanowires featuring Majorana fermions. Ideally, these junctions are predicted to have an unconventional $4\pi$-periodic Josephson effect…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 Fernando Domínguez , Fabian Hassler , Gloria Platero

We suggest a new type of an ultrasensitive detector of electromagnetic fields exploiting the giant thermoelectric effect recently found in superconductor/ferromagnet hybrid structures. Compared to other types of superconducting detectors…

Superconductivity · Physics 2018-10-03 T. T. Heikkilä , R. Ojajärvi , I. J. Maasilta , E. Strambini , F. Giazotto , F. Bergeret

Semiconducting nanowires in proximity to superconductors are promising experimental systems for Majorana fermions which may ultimately be used as building blocks for topological quantum computers. A serious challenge in the experimental…

Superconductivity · Physics 2012-02-13 Jay D. Sau , Chien Hung Lin , Hoi-Yin Hui , S. Das Sarma

We develop a theory for the three-terminal nonlocal conductance in Majorana nanowires as existing in the superconductor-semiconductor hybrid structures in the presence of superconducting proximity, spin-orbit coupling, and Zeeman splitting.…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Haining Pan , Jay D. Sau , S. Das Sarma

We demonstrate that a thermal metal of Majorana fermions forms in a two-dimensional system of interacting non-Abelian (Ising) anyons in the presence of moderate disorder. This bulk metallic phase arises in the $\nu=5/2$ quantum Hall state…

Strongly Correlated Electrons · Physics 2012-04-12 Chris R. Laumann , Andreas W. W. Ludwig , David A. Huse , Simon Trebst