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We develop a conceptually simple scheme based on a master-equation approach to evaluate the full-counting statistics (FCS) of elastic and inelastic off-resonant tunneling (cotunneling) in quantum dots (QDs) and molecules. We demonstrate the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Kristen Kaasbjerg , Wolfgang Belzig

We review several ways of defining the statistics of charge that is transmitted through an electric circuit, the so-called "counting statistics". We first pursue two approaches that explain the origin of "negative probabilities" that have…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Markus Kindermann , Yuli V. Nazarov

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

We study analytically the full counting statistics of charge transport through single molecules, strongly coupled to a weakly damped vibrational mode. The specifics of transport in this regime - a hierarchical sequence of avalanches of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jens Koch , M. E. Raikh , Felix von Oppen

Quantum transport is often characterized not just by mean observables like the particle or energy current, but by their fluctuations and higher moments, which can act as detailed probes of the physical mechanisms at play. However,…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Ido Zemach , Andre Erpenbeck , Emanuel Gull , Guy Cohen

We theoretically consider charge transport through two quantum dots coupled in series. The corresponding full counting statistics for noninteracting electrons is investigated in the limits of sequential and coherent tunneling by means of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 G. Kiesslich , P. Samuelsson , A. Wacker , E. Schoell

We present time-resolved measurements of electron transport through a quantum dot. The measurements were performed using a nearby quantum point contact as a charge detector. The rates for tunneling through the two barriers connecting the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Gustavsson , R. Leturcq , B. Simovic , R. Schleser , P. Studerus , T. Ihn , K. Ensslin , D. C. Driscoll , A. C. Gossard

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

In this letter we calculate the exact partition function for free bosons on the plane with lacunae. First the partition function for a plane with two spherical holes is calculated by matching exactly for the infinite set of Wilson…

High Energy Physics - Theory · Physics 2015-06-03 Ira Z. Rothstein

We investigate the full-counting statistics (FCS) of energy flow carried by electrons in the transient regime. Based on two measurement scheme we formulate a non-equilibrium Keldysh Green's function theory to compute the generating function…

Mesoscale and Nanoscale Physics · Physics 2017-06-23 Zhizhou Yu , Gao-Min Tang , Jian Wang

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

Full-counting statistics (FCS) provides a powerful framework to access the statistical information of a system from the characteristic function. However, applications of FCS for generic interacting quantum systems often be hindered by the…

Quantum Physics · Physics 2024-01-25 Yun-Zhuo Fan , Dan-Bo Zhang

We review the relations between the full counting statistics and the field theory of electric circuits. We demonstrate that for large conductances the counting statistics is determined by non-trivial saddle-point of the field. Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yuli 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…

Mesoscale and Nanoscale Physics · Physics 2011-09-22 H. Soller , A. Komnik

We study full counting statistics of coherent electron transport through multi-terminal interacting quantum-dots under a finite magnetic field. Microscopic reversibility leads to the symmetry of the cumulant generating function, which…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Keiji Saito , Yasuhiro Utsumi

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

We study theoretically the full counting statistics of electron transport through side-coupled double quantum dot (QD) based on an efficient particle-number-resolved master equation. It is demonstrated that the high-order cumulants of…

Mesoscale and Nanoscale Physics · Physics 2013-10-02 Hai-Bin Xue

We investigate the full counting statistics of charge transport in $U(1)$-symmetric random unitary circuits. We consider an initial mixed state prepared with a chemical potential imbalance between the left and right halves of the system,…

Quantum Physics · Physics 2023-12-04 Ewan McCulloch , Jacopo De Nardis , Sarang Gopalakrishnan , Romain Vasseur

We have measured the full counting statistics (FCS) of current fluctuations in a semiconductor quantum dot (QD) by real-time detection of single electron tunneling with a quantum point contact (QPC). This method gives direct access to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Gustavsson , R. Leturcq , B. Simovic , R. Schleser , T. Ihn , P. Studerus , K. Ensslin , D. C. Driscoll , A. C. Gossard

A ubiquitous observation in crowded cell membranes is that molecular transport does not follow Fickian diffusion but exhibits subdiffusion. The microscopic origin of such a behaviour is not understood and highly debated. Here we discuss the…

Soft Condensed Matter · Physics 2011-02-15 Felix Höfling , Karl-Ulrich Bamberg , Thomas Franosch