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We study the statistics of charge transfer through an impurity in a chiral Luttinger liquid (realized experimentally as a quantum point contact in a fractional quantum Hall edge state device). Taking advantage of the integrability we…

介观与纳米尺度物理 · 物理学 2007-05-23 A. Komnik , H. Saleur

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…

介观与纳米尺度物理 · 物理学 2007-05-23 J. Tobiska , Yu. V. Nazarov

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.…

介观与纳米尺度物理 · 物理学 2009-11-07 D. A. Bagrets , Yu. V. Nazarov

We analyze the full counting statistics (FCS) of a single-site quantum dot coupled to multiple metallic electrodes in the normal state and a superconductor for arbitrary transmission. We present an analytical solution of the problem taking…

介观与纳米尺度物理 · 物理学 2011-09-22 H. Soller , A. Komnik

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…

介观与纳米尺度物理 · 物理学 2014-10-15 A. Komnik , G. W. Langhanke

The full counting statistics of charge transport is the probability distribution $p_n(t_m)$ that $n$ electrons have flown through the system in measuring time $t_m$. The cumulant generating function (CGF) of this distribution $F(\chi,t_m)$…

介观与纳米尺度物理 · 物理学 2015-11-05 Sam T. Carr , Peter Schmitteckert , Hubert Saleur

An impurity in a Tomonaga-Luttinger liquid leads to a crossover between short- and long-distance regime which describes many physical phenomena. However, calculation of the entire crossover of correlation functions over different length…

强关联电子 · 物理学 2019-03-13 Chung-Yu Lo , Yoshiki Fukusumi , Masaki Oshikawa , Ying-Jer Kao , Pochung Chen

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…

统计力学 · 物理学 2012-12-21 Sam Genway , James M. Hickey , Juan P. Garrahan , Andrew D. Armour

Dynamics of the 1D electron transport between two reservoirs are studied based on the inhomogeneous Tomonaga- Luttinger Liquid (ITLL) model in the case when the effect of the electron backscattering on the impurities is negligible. The…

凝聚态物理 · 物理学 2015-06-25 Vadim Ponomarenko

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…

介观与纳米尺度物理 · 物理学 2007-05-23 A. O. Gogolin , A. Komnik

The recent observation of charge fractionalization in single Tomanga-Luttinger liquids (TLLs) [Kamata et al., Nature Nanotech., 9 177 (2014)] opens new routes for a systematic investigation of this exotic quantum phenomenon. In this Letter…

介观与纳米尺度物理 · 物理学 2015-06-19 E. Perfetto , G. Stefanucci , H. Kamata , T. Fujisawa

In this work we derive a new scheme to calculate Tomonaga-Luttinger liquid (TLL) parameters and holon (charge modes) velocities in a quasi-1D material that consists of two-leg ladders coupled through Coulomb interactions. Firstly, we obtain…

强关联电子 · 物理学 2021-04-21 P. Chudzinski

The paradigmatic state of a 1D collective metal, the Tomonaga-Luttinger liquid (TLL), offers us an exact analytic solution for a strongly interacting quantum system not only for infinite systems at zero temperature but also at finite…

强关联电子 · 物理学 2024-12-23 Naira Grigoryan , Piotr Chudzinski

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…

介观与纳米尺度物理 · 物理学 2011-08-23 Jin Zhang , Y. Sherkunov , N. d'Ambrumenil , B. Muzykantskii

In one-dimensional (1D) electron systems, the Fermi liquid state breaks down due either to electron interactions, which results in a Tomonaga-Luttinger liquid (TLL) state, or to Peierls instability, which leads to an insulating…

We investigate charge fractionalizations in artificial Tomonaga-Luttinger liquids (TLLs) composed of two capacitively coupled quantum Hall edge channels (ECs) in graphene. The interaction strength of the artificial TLLs can be controlled…

By a detailed study of the mathematical structure of the cumulant generating function (CGF) of particle transfer in the non-interacting case we show that it satisfies duality relations connecting the CGFs of two different realizations of…

介观与纳米尺度物理 · 物理学 2017-06-20 A. Komnik

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…

介观与纳米尺度物理 · 物理学 2013-05-30 G. C. Levine , M. J. Bantegui , J. A. Burg

We study full counting statistics of electron tunneling in Coulomb-blockade systems in the limit of short measuring-time intervals. This limit is particularly suited to identify correlations among tunneling events, but only when analyzing…

介观与纳米尺度物理 · 物理学 2016-09-27 Philipp Stegmann , Jürgen König

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…

介观与纳米尺度物理 · 物理学 2015-05-13 K. Schönhammer
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