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The universal conductance fluctuations of quasi-two-dimensional systems are analyzed with experimental considerations in mind. The traditional statistical metrics of these fluctuations (such as variance) are shown to have large statistical…

Mesoscale and Nanoscale Physics · Physics 2012-11-16 M. B. Lundeberg , J. Renard , J. A. Folk

We present a low-temperature experimental test of the fluctuation theorem for electron transport through a double quantum dot. The rare entropy-consuming system trajectories are detected in the form of single charges flowing against the…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 B. Küng , C. Rössler , M. Beck , M. Marthaler , D. S. Golubev , Y. Utsumi , T. Ihn , K. Ensslin

An experimental study of current fluctuations through a tunable transmission barrier, a quantum point contact, are reported. We measure the probability distribution function of transmitted charge with precision sufficient to extract the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Gershon , Yu. Bomze , E. V. Sukhorukov , M. Reznikov

Linear response conductance of a two terminal Aharonov-Bohm (AB) interferometer is an even function of magnetic field. This "phase symmetry" is no expected to hold beyond the linear response regime. In simple AB rings the phase of the…

Mesoscale and Nanoscale Physics · Physics 2009-02-17 Vadim Puller , Yigal Meir , Martin Sigrist , Klaus Ensslin , Thomas Ihn

We consider a quantum dot system whose charge fluctuations are monitored by a quantum point contact allowing for the detection of both charge and transferred heat statistics. Our system consists of two nearby conductors that exchange energy…

Mesoscale and Nanoscale Physics · Physics 2013-12-24 Rafael Sánchez , Markus Büttiker

The problem of non-linear transport near a quantum phase transition is solved within the Landau theory for the dissipative insulator-superconductor phase transition in two dimensions. Using the non-equilibrium Schwinger round-trip Green…

Superconductivity · Physics 2009-11-10 Denis , Dalidovich , Philip Phillips

We study electron transport through a closed Aharonov-Bohm interferometer containing two single-level quantum dots. The quantum-dot levels are coupled to each other indirectly via the leads. We find that this coupling yields signatures of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Björn Kubala , Jürgen König

We study the charge transport statistics in coherent two-terminal double junctions within the framework of the circuit theory of mesoscopic transport. We obtain the general solution of the circuit-theory matrix equations for the Green's…

Superconductivity · Physics 2007-05-23 Mihajlo Vanevic , Wolfgang Belzig

We present a scattering approach for the study of the transport and thermodynamics of quantum systems strongly coupled to their thermal environment(s). This formalism recovers the standard non-equilibrium Green's function expressions for…

Statistical Mechanics · Physics 2020-07-15 Alexander Semenov , Abraham Nitzan

We present a field theory for the statistics of charge and current fluctuations in diffusive systems. The cumulant generating function is given by the saddle-point solution for the action of this field theory. The action depends on two…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eugene V. Sukhorukov , Andrew N. Jordan , Sebastian Pilgram

We demonstrate the validity of the current fluctuation theorem for a double quantum dot surrounded by four terminals within the Born-, Markov- and secular approximations beyond the Coulomb-blockade regime. The electronic tunneling to two…

Mesoscale and Nanoscale Physics · Physics 2011-11-11 Thilo Krause , Gernot Schaller , Tobias Brandes

The fluctuations of electrical current provide information on the dynamics of electrons in quantum devices. Understanding the nature of these fluctuations in a quantum dot is thus a crucial step insofar as this system is the elementary…

Mesoscale and Nanoscale Physics · Physics 2018-10-08 A. Crépieux , S. Sahoo , T. Q. Duong , R. Zamoum , M. Lavagna

The reduction of the amplitude of Aharonov-Bohm oscillations in a ballistic one-channel mesoscopic interferometer due to charge fluctuations is investigated. In the arrangement considered the interferometer has four terminals and is coupled…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Georg Seelig , Markus Buttiker

Quantum fluctuations, which result from the Heisenberg uncertainty principle, explain a number of physical observations, from the finite mass of elementary particles to the Lamb shift in hydrogen and the Casimir effect. The local violation…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Mathieu Lamblin , Martin Bowen

We analytically compute the full counting statistics of charge transfer in a classical automaton of interacting charged particles. Deriving a closed-form expression for the moment generating function with respect to a stationary equilibrium…

Statistical Mechanics · Physics 2024-02-06 Žiga Krajnik , Johannes Schmidt , Vincent Pasquier , Enej Ilievski , Tomaž Prosen

We address the quantum dot phase measurement problem in an open Aharonov-Bohm interferometer, assuming multiple transport channels. In such a case, the quantum dot is characterized by more than one intrinsic phase for the electrons…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. Ţolea , M. Niţă , A. Aldea

Motivated by recent experiments on the conductance fluctuations in mesoscopic integr quantum Hall systems, we consider a model in which the Coulomb interactions are incorporated into the picture of edge-state transport through a single…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. -M. Ho

We develop a non-equilibrium theory to describe weak Coulomb blockade effects in open quantum dots. Working within the bosonized description of electrons in the point contacts, we expose deficiencies in earlier applications of this method,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Piet W. Brouwer , Austen Lamacraft , Karsten Flensberg

The theoretical description of strongly correlated quantum systems out of equilibrium presents several challenges and a number of open questions persist. In this paper we focus on nonlinear electronic transport through an interacting…

Strongly Correlated Electrons · Physics 2015-03-17 Prasenjit Dutt , Jens Koch , J. E. Han , Karyn Le Hur

Electronic transport through chaotic quantum dots exhibits universal behaviour which can be understood through the semiclassical approximation. Within the approximation, transport moments reduce to codifying classical correlations between…

Mathematical Physics · Physics 2016-03-25 G. Berkolaiko , J. Kuipers
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