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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 investigate the effect of local Coulomb correlations on electronic transport through a variety of coupled quantum dot systems connected to Fermi liquid leads. We use a newly developed functional renormalization group scheme to compute…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. Karrasch , T. Enss , V. Meden

The Debye-H\"uckel theory describes rigorously the thermal equilibrium of classical Coulomb fluids in the high-temperature $\beta\to 0$ regime ($\beta$ denotes the inverse temperature). It is generally believed that the Debye-H\"uckel…

Statistical Mechanics · Physics 2009-11-13 L. Samaj

A representation of current is presented which can account for ideal conduction and distinguish superconductors, superfluids, ideal, and non-ideal conductors. The idea of the scheme is that different current operators and transport weights…

Superconductivity · Physics 2016-11-01 Balázs Hetényi

We study the equilibrium properties of a quantum dot connected to a bulk lead by a single-mode quantum point contact. The ground state energy and other thermodynamic characteristics of the grain show periodic dependence on the gate voltage…

Condensed Matter · Physics 2009-10-22 K. A. Matveev

The lattice fluid model of the system with short range and long range Coulomb interactions is suggested. In the framework of the collective variables method, the screening of the Coulomb interactions in the bulk is considered. It is shown…

Other Condensed Matter · Physics 2019-01-24 George Bokun , Dung di Caprio , Myroslav Holovko , Vyacheslav Vikhrenko

We present a theory of Coulomb blockade oscillations in tunneling through a pair of quantum dots connected by a tunable tunneling junction. The positions and amplitudes of peaks in the linear conductance are directly related, respectively,…

Condensed Matter · Physics 2009-10-28 K. A. Matveev , L. I. Glazman , H. U. Baranger

We have investigated the effect of the long-range Coulomb interaction on the one-particle excitation spectrum of n-type Germanium, using tunneling spectroscopy on mechanically controllable break junctions. The tunnel conductance was…

Strongly Correlated Electrons · Physics 2009-10-31 B. Sandow , K. Gloos , R. Rentzsch , A. N. Ionov , W. Schirmacher

We study transport through two Luttinger liquids (one-dimensional electrons interacting through a Coulomb repulsion in a metal) coupled together at {\it two} points. External voltage biases are incorporated through boundary conditions. We…

Strongly Correlated Electrons · Physics 2009-10-31 P. Durganandini , Sumathi Rao

A concrete question is discussed: Can there be conventional s-wave superconductivity in regular 3D (or 2D) metals, i.e., electrons in a jellium background, interacting via the standard Coulomb coupling? We are interested in 'practical' SC…

Superconductivity · Physics 2025-12-01 Sankar Das Sarma , Jay D. Sau , Yi-Ting Tu , Shuyang Wang

We investigate the transport characteristics of a redox system weakly coupled to leads in the Coulomb blockade regime. The redox system comprises a donor and acceptor separated by an insulating bridge in a solution. It is modeled by a…

Strongly Correlated Electrons · Physics 2010-09-08 Sabine Tornow , Gertrud Zwicknagl

We study the electrical susceptibility of a hydrogen gas at equilibrium, partially ionized by thermal excitations. The gas is described as a quantum plasma of point protons and electrons, interacting via the Coulomb potential. Using the…

Statistical Mechanics · Physics 2009-11-10 V. Ballenegger , Ph. A. Martin

We introduce a new paradigm for finite and infinite strict-one-dimensional uniform electron gases. In this model, $n$ electrons are confined to a ring and interact via a bare Coulomb operator. In the high-density limit (small-$r_s$, where…

Strongly Correlated Electrons · Physics 2012-08-15 Pierre-François Loos , Peter M. W. Gill

We review various formulations of conductivity for one-particle Hamiltonians and relate them to the current-current correlation measure. We prove that the current-current correlation measure for random Schr\"odinger operators has a density…

Mathematical Physics · Physics 2015-05-19 J. M. Combes , F. Germinet , P. D. Hislop

A long one-dimensional wire with a finite density of strong random impurities is modelled as a chain of weakly coupled quantum dots. At low temperature T and applied voltage V its resistance is limited by "breaks": randomly occuring…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. M. Fogler , S. V. Malinin , T. Nattermann

We consider a metallic wire coupled to two metallic electrodes via two junctions placed nearby. A bias voltage applied to one of such junctions alters the electron distribution function in the wire in the vicinity of another junction thus…

Strongly Correlated Electrons · Physics 2012-03-09 D. S. Golubev , A. D. Zaikin

We study charge transport of a topological superconductor connected to different electromagnetic environments using a low-energy description where only the Majorana bound states in the superconductor are included. Extending earlier findings…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Konrad Wölms , Karsten Flensberg

In this paper we take up the quantal two-centre problem where the Coulomb centres have arbitrary positive charges. In analogy with the symmetric case, treated in the second paper of this series of papers, we use the knowledge on the…

Exactly Solvable and Integrable Systems · Physics 2015-06-26 N. Athavan , N. Fröman , M. Lakshmanan

We study transport through a quantum dot side-coupled to two parallel Luttinger liquid leads in the presence of a Coulombic dot-lead interaction. This geometry enables an exact treatment of the inter-lead Coulomb interactions. We find that…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Florian Elste , David Reichman , Andrew Millis

If the color Coulomb potential is confining, then the Coulomb field energy of an isolated color charge is infinite on an infinite lattice, even if the usual UV divergence is lattice regulated. A simple criterion for Coulomb confinement is…

High Energy Physics - Lattice · Physics 2013-05-29 J. Greensite