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We study full counting statistics of electron transport through a Majorana single-charge transistor. At low bias voltage, transport is dominated by the so-called Josephson-Majorana cycle, a sequence of normal and anomalous single-charge and…

Mesoscale and Nanoscale Physics · Physics 2023-05-12 Eric Kleinherbers , Alexander Schünemann , Jürgen König

Using scattering theory, we investigate interferometers composed of chiral Majorana fermion modes coupled to normal metal leads. We advance an approach in which also the basis states in the normal leads are written in terms of Majorana…

Mesoscale and Nanoscale Physics · Physics 2012-04-26 Jian Li , Geneviève Fleury , Markus Büttiker

The Full Counting Statistics (FCS) is studied for a one-dimensional system of non-interacting fermions with and without disorder. For two unbiased $L$ site lattices connected at time $t=0$, the charge variance increases as the natural…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 G. C. Levine , M. J. Bantegui , J. A. Burg

We investigate adiabatic quantum pumping of chiral Majorana states in a system composed of two Mach--Zehnder type interferometers coupled via a quantum point contact. The pumped current is generated by periodic modulation of the phases…

Mesoscale and Nanoscale Physics · Physics 2014-01-22 M. Alos-Palop , Rakesh P. Tiwari , M. Blaauboer

We show how a chiral Dirac fermion (a massless electron or hole) can be converted into a pair of neutral chiral Majorana fermions (a particle equal to its own antiparticle). These two types of fermions exist on the metallic surface of a…

Mesoscale and Nanoscale Physics · Physics 2009-05-28 A. R. Akhmerov , Johan Nilsson , C. W. J. Beenakker

Full counting statistics concerns the stochastic transport of electrons in mesoscopic structures. Recently it has been shown that the charge transport statistics for non-interacting electrons in a two-terminal system is always generalized…

Mesoscale and Nanoscale Physics · Physics 2011-03-04 Dania Kambly , Christian Flindt , Markus Büttiker

We calculate the charge transport in a flux biased dissipative Cooper pair pump using the method of full counting statistics (FCS). This is instead of a more traditional technique of integrating a very small expectation value of the…

Mesoscale and Nanoscale Physics · Physics 2013-03-05 P. Wollfarth , I. Kamleitner , A. Shnirman

We analyse the full counting statistics (FCS) of the charge transport through the Anderson impurity model (AIM) and similar systems with a single conducting channel. The object of principal interest is the generating function for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. O. Gogolin , A. Komnik

We calculate the full counting statistics (FCS) of a subsystem energy in free fermionic systems by means of the Grassmann variables. We demonstrate that the generating function of these systems can be written as a determinant formula with…

Strongly Correlated Electrons · Physics 2017-12-18 Khadijeh Najafi , M. A. Rajabpour

We present a method for computing the full probability distribution function of quadratic observables for the Fermi-Hubbard model within the framework of determinantal quantum Monte Carlo. Especially, in cold atoms experiments with single…

Strongly Correlated Electrons · Physics 2017-12-12 Stephan Humeniuk , Hans Peter Büchler

We develop a method for calculation of charge transfer statistics of persistent current in nanostructures in terms of the cumulant generating function (CGF) of transferred charge. We consider a simply connected one-dimensional system (a…

Mesoscale and Nanoscale Physics · Physics 2014-10-15 A. Komnik , G. W. Langhanke

We calculate the full counting statistics of charge transfer in a chiral Majorana interferometer - a setup where a Dirac mode (an electron-hole mode) is split into two Majorana modes that encircle a number of h/2e vortices in a topological…

Mesoscale and Nanoscale Physics · Physics 2025-08-07 C. W. J. Beenakker

We study charge transport and fluctuations of the (3+1)-dimensional massive free Dirac theory. In particular, we focus on the steady state that emerges following a local quench whereby two independently thermalized halves of the system are…

Statistical Mechanics · Physics 2018-11-14 Takato Yoshimura

Massless 2+1D Dirac fermions arise in a variety of systems from graphene to the surfaces of topological insulators, where generating a mass is typically associated with breaking a symmetry. However, with strong interactions, a symmetric…

Strongly Correlated Electrons · Physics 2018-02-21 Yi-Zhuang You , Yin-Chen He , Cenke Xu , Ashvin Vishwanath

Full counting statistics (FCS) is a dynamical generalisation of the free energy, encapsulating detailed information about the distribution and large-scale correlation functions of conserved charges and their associated currents. In this…

Statistical Mechanics · Physics 2026-01-09 Botond C. Nagy , Marton Kormos , Gabor Takacs

We developed a theoretical framework which extends the method of \textit{full counting statistics} (FCS) from conventional single channel Kondo screening schemes to multi-channel Kondo paradigm. The developed idea of FCS has been…

Mesoscale and Nanoscale Physics · Physics 2018-10-30 D. B. Karki , Mikhail N. Kiselev

The list of quantum mechanical systems with non-Abelian statistics has recently been expanded by including generic spin-orbit-coupled semiconductors e.g., InAs) in proximity to a s-wave superconductor. Demonstration of the anyonic…

Strongly Correlated Electrons · Physics 2011-08-24 Jay D. Sau , Sumanta Tewari , S. Das Sarma

We investigate the full-counting statistics (FCS) of energy transport carried by electrons in molecular junctions for the Anderson-Holstein model in the polaronic regime. Using two-time quantum measurement scheme, generating function (GF)…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Gaomin Tang , Zhizhou Yu , Jian Wang

Provided the measuring time is short enough, the full counting statistics (FCS) of the charge pumped across a barrier as a result of a series of voltage pulses are shown to be equivalent to the geometry of two planes. This formulation leads…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Y. B. Sherkunov , A. Pratap , B. Muzykantskii , N. d'Ambrumenil

We study transport properties of a quantum dot coupled to a Majorana zero mode and two normal leads. We investigate the full counting statistics of charge tunneling events which allows one to extract complete information about current…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Dong E. Liu , Alex Levchenko , Roman M. Lutchyn
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