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We investigate the effects of the Coulomb two-body interaction on Fermi liquids via bosonization. The Coulomb interaction is singular in the limit of low momentum transfer, and recent interest in the possibility that some singular…

Condensed Matter · Physics 2012-09-28 A. Houghton , H. -J. Kwon , J. B. Marston , R. Shankar

We investigate the transport properties of quantum dots placed in strong magnetic field using a quantum-mechanical ' approach based on the 2D tight-binding Hamiltonian with direct Coulomb interaction and the Landauer-B\"{u}ttiker (LB)…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Moldoveanu , A. Aldea , A. Manolescu , M. Nita

We develop a quantum kinetic theory of two-dimensional electron gases in which exchange is treated self-consistently at the Hartree-Fock level and enters as a nonlocal, momentum-dependent field in phase space. By starting from the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 J. L. Figueiredo , J. T. Mendonça , H. Terças

General expression for the thermodynamic potential of the model of semi-infinite jellium is obtained. By using this expression, the surface energy for infinite barrier model is calculated. The behavior of the surface energy and of chemical…

Statistical Mechanics · Physics 2015-09-30 P. P. Kostrobij , B. M. Markovych

In this paper we continue the study of the derivation of different types of kinetic equations which arise from scaling limits of interacting particle systems. We began this study in \cite{NVW}. More precisely, we consider the derivation of…

Mathematical Physics · Physics 2021-03-18 Alessia Nota , Juan J. L. Velázquez , Raphael Winter

Various strong coupling theories of the one-component plasma have successfully predicted the thermodynamic and structural properties by separating the Coulomb potential into short- and long-ranged parts in {\itshape ad hoc} ways. Moreover,…

Statistical Mechanics · Physics 2018-11-07 Hiroshi Frusawa

We have investigated the effects of long-range Coulomb interaction on the topological superconducting phase in a quasi-one dimensional semiconductor wire, proximity coupled to a s-wave using the exact diagonalization approach. We find that…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Areg Ghazaryan , Tapash Chakraborty

Conditions at which a quasi-one-dimensional (1D) electron system can be considered as a quantum liquid of impenetrable charged particles are theoretically analyzed. In the presence of an inert, neutralizing background, a motion of…

Superconductivity · Physics 2024-06-21 Yu. P. Monarkha

Density-functional theory for superfluid systems is developed in the framework of the functional renormalization group based on the effective action formalism. We introduce the effective action for the particle-number and nonlocal pairing…

Nuclear Theory · Physics 2021-05-11 Takeru Yokota , Haruki Kasuya , Kenichi Yoshida , Teiji Kunihiro

We report on a study of interaction effects on the polarization of a disordered two-dimensional electron system in a strong magnetic field. Treating the Coulomb interaction within the time-dependent Hartree-Fock approximation we find…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein , Michael Backhaus

The only available quantitative description of the slowing down of the dynamics upon approaching the glass transition has been, so far, the mode-coupling theory, developed in the 80's by G\"otze and collaborators. The standard derivation of…

Statistical Mechanics · Physics 2012-06-11 Hugo Jacquin , Frédéric Van Wijland

Atomic-like systems in which electronic motion is two dimensional are now realizable as ``quantum dots''. In place of the attraction of a nucleus there is a confining potential, usually assumed to be quadratic. Additionally, a perpendicular…

Condensed Matter · Physics 2007-05-23 E. H. Lieb , J. P. Solovej , J. Yngvason

To describe charged particles interacting with the quantized electromagnetic field, we point out the differences of working in the so-called generalized and the true Coulomb gauges. We find an explicit gauge transformation between them for…

Quantum Physics · Physics 2019-09-18 Robert Zietal , Claudia Eberlein

We study the effective Lagrangian, at leading order in derivatives, that describes the propagation of density and metric fluctuations in a fluid composed by an arbitrary number of interacting components. Our results can be applied to any…

High Energy Physics - Theory · Physics 2014-06-05 Guillermo Ballesteros , Brando Bellazzini , Lorenzo Mercolli

We propose a local, O(N) molecular dynamics algorithm for the simulation of charged systems. The long ranged Coulomb potential is generated by a propagating electric field that obeys modified Maxwell equations. On coupling the…

Soft Condensed Matter · Physics 2009-11-10 Jörg Rottler , A. C. Maggs

The "Coulomb phase" is an emergent state for lattice models (particularly highly frustrated antiferromagnets) which have local constraints that can be mapped to a divergence-free "flux". The coarse-grained version of this flux or…

Statistical Mechanics · Physics 2015-05-14 Christopher L. Henley

We study the electrostatic potential of a molecular wire bridging two metallic electrodes in the limit of weak contacts. With the use of a tight-binding model including a fully three-dimensional treatment of the electrostatics of the…

Chemical Physics · Physics 2007-05-23 Stéphane Pleutin , Hermann Grabert , Gert-Ludwig Ingold , Abraham Nitzan

Three terminal tunnelling experiments on quantum dots in the Coulomb blockade regime allow a quantitative determination of the coupling strength of individual quantum states to the leads. Exploiting this insight we have observed independent…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Leturcq , D. Graf , T. Ihn , K. Ensslin , D. D. Driscoll , A. C. Gossard

To date, the Hubbard model and its strong coupling limit, the t-J model, serve as the canonical model for strongly correlated electron systems in solids. Approximating the Coulomb interaction by only the on-site term (Hubbard U-term),…

Superconductivity · Physics 2017-04-28 Tao Sun

We consider a scalar quantum field theory with global $O(N)^3$ symmetry in four Euclidean dimensions and solve it numerically in closed form in the large-N limit. For imaginary tetrahedral coupling the theory is asymptotically free, with…

High Energy Physics - Theory · Physics 2024-09-04 Jürgen Berges , Razvan Gurau , Hannes Keppler , Thimo Preis
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