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We study the counting statistics of charge transport in the Anderson impurity model (AIM) employing both Keldysh perturbation theory in a Fermi liquid picture and the Bethe ansatz. In the Fermi liquid approach, the object of our principal…

Mesoscale and Nanoscale Physics · Physics 2025-12-31 A. O. Gogolin , R. M. Konik , A. W. W. Ludwig , H. Saleur

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

Exact numerical results for the full counting statistics (FCS) of a one-dimensional tight-binding model of noninteracting electrons are presented at finite temperatures using an identity recently presented by Abanov and Ivanov. A similar…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 K. Schönhammer

We analyse the zero temperature Full Counting Statistics (FCS) for the charge transfer across a biased tunnel junction. We find the FCS from the eigenvalues of the density matrix of outgoing states of one lead. In the general case of a…

Mesoscale and Nanoscale Physics · Physics 2011-08-23 Jin Zhang , Y. Sherkunov , N. d'Ambrumenil , B. Muzykantskii

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 analyze the nonequilibrium transport properties of a parallel double quantum dot in terms of its full counting statistics (FCS). The parameters of the setup are assumed to be such that both subsystems are driven into the Kondo regime.…

Mesoscale and Nanoscale Physics · Physics 2011-11-04 D. Breyel , A. Komnik

Full counting statistics (FCS) for the transport through a molecular quantum dot magnet is studied theoretically in the incoherent tunneling regime. We consider a model describing a single-level quantum dot, magnetically coupled to an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ken-Ichiro Imura , Yasuhiro Utsumi , Thierry Martin

Time-dependent driving influences the quantum and thermodynamic fluctuations of a system, changing the familiar physical picture of electronic noise which is an important source of information the about microscopic mechanism of quantum…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Thomas D. Honeychurch , Daniel S. Kosov

We consider a model of quantum-wire junctions where the latter are described by conformal-invariant boundary conditions of the simplest type in the multicomponent compactified massless scalar free field theory representing the bosonized…

Statistical Mechanics · Physics 2018-01-24 Krzysztof Gawȩdzki , Clément Tauber

We analyze in detail the interaction correction to Full Counting Statistics (FCS) of electron transfer in a quantum contact originating from the electromagnetic environment surrounding the contact. The correction can be presented as a sum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Tobiska , Yu. V. Nazarov

We develop a theory for the full counting statistics (FCS) for a class of nanoelectromechanical systems (NEMS), describable by a Markovian generalized master equation. The theory is applied to two specific examples of current interest:…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christian Flindt , Tomas Novotny , Antti-Pekka Jauho

Exact numerical results for the full counting statistics (FCS) for a one-dimensional tight-binding model of noninteracting electrons are presented without using an idealized measuring device. The two initially separate subsystems are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 K. Schoenhammer

Full counting statistics (FCS) of charge transfer in mesoscopic systems has recently become a subject of significant interest, since it proves to reveal an important information about the system which can be hardly assessed by other means.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. A. Bagrets , Yu. V. Nazarov

Using the cumulant Green's functions method (CGFM), we study the single impurity Anderson model (SIAM). The CGFM starting point is a diagonalization of the SIAM Hamiltonian expressed in a semi-chain form, containing N sites, viz., a…

Strongly Correlated Electrons · Physics 2024-09-26 T. M. Sobreira , T. O. Puel , M. A. Manya , S. E. Ulloa , G. B. Martins , J. Silva-Valencia , R. N. Lira , M. S. Figueira

We employ a single-charge counting technique to measure the full counting statistics (FCS) of Andreev events in which Cooper pairs are either produced from electrons that are reflected as holes at a superconductor/normal-metal interface or…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 V. F. Maisi , D. Kambly , C. Flindt , J. P. Pekola

Quantum transport through devices coupled to electron reservoirs can be described in terms of the full counting statistics (FCS) of charge transfer. Transport observables, such as conductance and shot-noise power are just cumulants of FCS…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 M I Sena-Junior , A M S Macêdo

The time dependent full counting statistics of charge transport through an interacting quantum junction is evaluated from its generating function, controllably computed with the inchworm Monte Carlo method. Exact noninteracting results are…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Michael Ridley , Viveka Nand Singh , Emanuel Gull , Guy Cohen

We review recent advances in the field of full counting statistics (FCS) of charge transfer through impurities imbedded into strongly correlated one-dimensional metallic systems, modelled by Tomonaga-Luttinger liquids (TLLs). We concentrate…

Mesoscale and Nanoscale Physics · Physics 2007-11-28 A. Komnik , B. Trauzettel , U. Weiss

We report the investigation of full-counting statistics (FCS) of transferred charge and spin in the transient regime where the connection between central scattering region (quantum dot) and leads are turned on at $t=0$. A general…

Statistical Mechanics · Physics 2014-12-15 Gao-Min Tang , Jian Wang

The single impurity Anderson model (SIAM) is studied within an enhanced non-crossing approximation (ENCA). This method is extended to the calculation of susceptibilities and thoroughly tested, also in order to prepare applications as a…

Strongly Correlated Electrons · Physics 2010-01-19 Sebastian Schmitt , Torben Jabben , Norbert Grewe
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