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Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb interaction in a one-dimensional electron system. By applying a GW approximation, a strong wavefunction renormalization is found in the model,…

Strongly Correlated Electrons · Physics 2007-05-23 S. Bellucci , J. Gonzalez

We study the partition function of a two-dimensional Coulomb gas on a circle, in the presence of external pointlike charges, in a double scaling limit where both the external charges and the number of gas particles are large. Our original…

High Energy Physics - Theory · Physics 2010-10-06 Niko Jokela , Matti Jarvinen , Esko Keski-Vakkuri

We present a theoretical approach to study the dynamics of spherical, cylindrical and ellipsoidal charge distributions under their self-Coulomb field and a stochastic force due to collisions and random motions of charged particles. The…

Plasma Physics · Physics 2022-02-14 Omid Zandi , Renske M. van der Veen

We consider the contribution of electron-electron interactions to the orbital magnetization of a two-dimensional electron gas, focusing on the ballistic limit in the regime of negligible Landau-level spacing. This regime can be described by…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. von Oppen , D. Ullmo , H. U. Baranger

The fact that electromagnetic effects propagate at the speed of light suggests how the Lorenz-gauge scalar and vector potentials of a uniformly moving point charge must be modified when the charge was initially at rest and then set suddenly…

Classical Physics · Physics 2024-04-23 V. Hnizdo , G. Vaman

The dynamics of a globally neutral system of diffusing Coulomb charges in two dimensions, driven by an applied electric field, is studied in a wide temperature range around the Berezinskii-Kosterlitz-Thouless transition. I argue that the…

Statistical Mechanics · Physics 2009-10-30 Dierk Bormann

The diagrammatic linear response formalism for the Coulomb drag in two--layer systems is developed. This technique can be used to treat both elastic disorder and intralayer interaction effects. In the absence of intralayer…

Condensed Matter · Physics 2009-10-28 Alex Kamenev , Yuval Oreg

We present Monte Carlo simulation results on the equilibrium relaxation of the two dimensional lattice Coulomb gas with fractional charges, which exhibits a close analogy to the primary relaxation of fragile supercooled liquids. Single…

Statistical Mechanics · Physics 2007-05-23 S. J. Lee , B. Kim , J. -R. Lee

We investigate a one-parameter family of Coulomb gases in two dimensions, which are confined to an ellipse, due to a hard wall constraint, and are subject to an additional external potential. At inverse temperature $\beta=2$ we can use the…

Mathematical Physics · Physics 2020-02-14 Taro Nagao , Gernot Akemann , Mario Kieburg , Iván Parra

We study the statistical mechanics of classical two-dimensional "Coulomb gases" with general potential and arbitrary \beta, the inverse of the temperature. Such ensembles also correspond to random matrix models in some particular cases. The…

Mathematical Physics · Physics 2013-03-18 Etienne Sandier , Sylvia Serfaty

A complete formulation is given of an exact kinetic theory for lattice gases. This kinetic theory makes possible the calculation of corrections to the usual Boltzmann / Chapman-Enskog analysis of lattice gases due to the buildup of…

comp-gas · Physics 2016-08-31 Bruce M. Boghosian , Washington Taylor

The method of the quantum kinetic equation is applied to the problem of renormalization of the conductivity of normal metals by gauge electron-electron interactions. It is shown that in the three-dimensional case the relativistic…

Condensed Matter · Physics 2007-05-23 D. V. Khveshchenko , Michael Reizer

We study mesoscopic fluctuations of the conductance through a quantum dot at the wings of the Coulomb blokade peaks. At low temperatures, the main mechanism of conduction is the elastic cotunneling. The conductance strongly fluctuates with…

Condensed Matter · Physics 2009-10-28 I. L. Aleiner , L. I. Glazman

We use Monte Carlo simulations to map out the phase diagram of the two dimensional Coulomb gas on a square lattice, as a function of density and temperature. We find that the Kosterlitz-Thouless transition remains up to higher charge…

Condensed Matter · Physics 2009-10-28 Pramod Gupta , S. Teitel

Using the renormalisation group (RG) we study two dimensional electromagnetic coulomb gas and extended Sine-Gordon theories invariant under the modular group SL(2,Z). The flow diagram is established from the scaling equations, and we derive…

Statistical Mechanics · Physics 2008-11-26 David Carpentier

We investigated theoretically the Coulomb drag effect in coupled 2D electron gases in a wide interval of magnetic field and temperature $ 1/\tau \ll \omega_c \ll E_F/\hbar$, $T \ll E_F$, $\tau$ being intralayer scattering time, $\omega_c$…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 A. V. Khaetskii , Yuli V. Nazarov

The chemical potential of the electron gas on a two-dimensional recttangular lattice is determined.An approximate expression for exp(-mu/T) is obtained,and its second order approximation is discussed to some extent.This result will find…

Strongly Correlated Electrons · Physics 2007-05-23 V. Celebonovic

Consider the free energy of a $d$-dimensional gas in canonical equilibrium under pairwise repulsive interaction and global confinement, in presence of a volume constraint. When the volume of the gas is forced away from its typical value,…

Mathematical Physics · Physics 2019-06-18 Fabio Deelan Cunden , Paolo Facchi , Marilena Ligabò , Pierpaolo Vivo

A tight binding model of electrons interacting via bare Coulomb repulsion is numerically investigated by use of the Density Matrix Renormalization Group method which we prove applicable also to very long range potentials. From the analysis…

Strongly Correlated Electrons · Physics 2009-10-31 G. Fano , F. Ortolani , A. Parola , L. Ziosi

We have analyzed Coulomb drag between currents of interacting electrons in two parallel one-dimensional conductors of finite length $L$ attached to external reservoirs. For strong coupling, the relative fluctuations of electron density in…

Condensed Matter · Physics 2009-10-31 Vadim Ponomarenko , Dmitri Averin