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We discuss a new entangled state that has been observed in the conduction across a quantum dot. At Coulomb blockade, electrons from the contacts correlate strongly to those localized in the dot, due to cotunneling processes. Because of the…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Domenico Giuliano , Benoit Jouault , Arturo Tagliacozzo

We survey some results relating noncommutative geometry to the class field theory of number fields. These results appear within the context of quantum statistical mechanics where some arithmetic properties of a given number field can be…

Number Theory · Mathematics 2007-05-23 Jorge Plazas

We study the statistics of charge transport in a chaotic cavity attached to external reservoirs by two openings of different size which transmit non-equal number of quantum channels. An exact formula for the cumulant generating function has…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 O. M. Bulashenko

We consider a quantum dot in the regime of the quantum Hall effect, particularly in Laughlin states and non-Abelian Read-Rezayi states. We find the location of the Coulomb blockade peaks in the conductance as a function of the area of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Roni Ilan , Eytan Grosfeld , Ady Stern

We describe the potential produced by a point electric charge placed into a constant magnetic field, so strong that the electron Larmour length is much shorter than its Compton length. The standard Coulomb law is modified due to the vacuum…

Astrophysics · Physics 2007-05-23 A. E. Shabad , V. V. Usov

Quantum fluctuations of the charge in the single electron box are investigated. The rounding of the Coulomb staircase caused by virtual electron tunneling is determined by perturbation theory up to third order in the tunneling conductance…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Goeppert , H. Grabert , N. V. Prokof'ev , B. V. Svistunov

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 study Coulomb charging effects for transport through a topologically nontrivial superconducting wire, where Majorana bound states are present at the interface to normal-conducting leads. We construct the general Keldysh functional…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 A. Zazunov , A. Levy Yeyati , R. Egger

We consider an electron coupled to a random magnetic field with local correlations and eventually non-zero average value. Starting from the source-term formalism of Levine, Libby and Pruisken, we define a generating function for static…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Furtlehner

The quantum Hall effect is one of the most extensively studied topological effects in solid state physics. The transitions between different quantum Hall states exhibit critical phenomena described by universal critical exponents. Numerous…

Disordered Systems and Neural Networks · Physics 2023-04-14 Keith Slevin , Tomi Ohtsuki

We tailor the quantum statistics of a bosonic field to deterministically drive a quantum system into a target state. Experimentally accessible states of the field achieve good control of multi-level or -qubit systems, notably also at…

Quantum Physics · Physics 2023-04-12 Frieder Lindel , Edoardo G. Carnio , Stefan Yoshi Buhmann , Andreas Buchleitner

The form of the Coulomb potential of a point in a noncommutative geometry is investigated. A distinction is made between measured distance and "coordinate" distance. The "effective" value of an operator is defined as its expectation value…

High Energy Physics - Theory · Physics 2007-05-23 A. Lewis Licht

Theoretical description of the field emission of electrons from nanoscale objects weakly coupled to the cathode is presented. It is shown that the field- emission current increases in a step-like fashion due to single-electron charging…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 O. E. Raichev

We investigate the Coulomb phase shift, and derive and analyze new and more precise analytical formulae. We consider next to leading order terms to the Stirling approximation, and show that they are important at small values of the angular…

Mathematical Physics · Physics 2017-03-29 J. C. A. Barata , L. F. Canto , M. S. Hussein

The transport properties of a double quantum-dot device with one of the dots coupled to perfect conductors are analyzed using the numerical renormalization group technique and slave-boson mean-field theory. The coupling between the dots…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. S. Cornaglia , D. R. Grempel

The energy correction associated with the self-energy diagram is the leading (in magnitude) and fundamental (in significance) contribution to the Lamb shift in highly charged ions. Conventional approaches to this correction rely on…

Atomic Physics · Physics 2026-03-17 M. A. Reiter , E. O. Lazarev , D. A. Glazov , A. V. Malyshev , A. V. Volotka

In the white-noise limit current correlations measured at different contacts of a mesoscopic conductor are negative due to the antisymmetry of the wave function (Pauli principle). We show that current fluctuations at capacitive contacts…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Andrew M. Martin , Markus Buttiker

We investigate the full counting statistics of a single quantum dot strongly coupled to a local phonon and weakly tunnel-connected to two metallic electrodes. By employing the generalized nonequilibrium Green function method and the…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Bing Dong , G. H. Ding , X. L. Lei

In Maxwell's equations, the electric field can be expressed as the sum of the Coulombic field associated with the electric charge and the induced field associated with the time variation of the magnetic field from Faraday's law. The same…

Classical Physics · Physics 2025-09-03 Toshio Hyodo

Within a Monte Carlo simulation we investigate the statistical properties of an electron flow injected with a Poissonian distribution and transmitted under ballistic regime in the presence of long-range Coulomb interaction. Electrons are…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 O. M. Bulashenko , J. Mateos , D. Pardo , T. Gonzalez , L. Reggiani , J. M. Rubi
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