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We derive a general expression for the low-temperature current distribution in a two-dimensional electron gas, subjected to a perpendicular magnetic field and in a confining potential that varies slowly on the scale of the magnetic length…

Condensed Matter · Physics 2009-10-22 Michael R. Geller , Giovanni Vignale

We study two-dimensional (2D) droplets of noninteracting electrons in a strong magnetic field, placed in a confining potential with arbitrary shape. Using semiclassical methods adapted to the lowest Landau level, we obtain near-Gaussian…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Blagoje Oblak , Bastien Lapierre , Per Moosavi , Jean-Marie Stéphan , Benoit Estienne

We study charge transport across the metal-insulator crossover in the half-filled two-dimensional Hubbard model, with particular emphasis on precision control. The dynamic current-current correlation function is obtained directly in the…

Strongly Correlated Electrons · Physics 2025-09-03 Youngmin Eom , Igor S. Tupitsyn , Nikolay V. Prokof'ev , Boris Svistunov , Evgeny Kozik , Aaram J. Kim

We study interacting electrons in a periodic potential and a uniform magnetic field ${\bf B}$ taking the spin-orbit interaction into account. We first establish a perturbation expansion for those electrons with respect to the Bloch states…

Materials Science · Physics 2009-11-11 Takafumi Kita , Masao Arai

The density functional approach in the Kohn-Sham approximation is widely used to study properties of many-electron systems. Due to the nonlinearity of the Kohn-Sham equations, the general self-consistence searching method involves…

Materials Science · Physics 2015-05-13 D. V. Posvyanskii , A. Ya. Shul'man

We study the ionic distribution near a charged surface. A new method for performing Monte Carlo simulations in this geometry is discussed. A theory is then presented that allows us to accurately reproduce the density profiles obtained in…

Chemical Physics · Physics 2012-11-09 Alexandre P. dos Santos , Yan Levin

Motivated by contact resistance on the front side of a crystalline silicon solar cell, we formulate and analyse a two-dimensional mathematical model for electron flow across a poorly conducting (glass) layer situated between silver…

Analysis of PDEs · Mathematics 2014-12-08 J. P. Black , C. J. W. Breward , P. D. Howell

We study bulk and edge correlations in the compressible half-filled state, using a modified version of the plasma analogy. The corresponding plasma has anomalously weak screening properties, and as a consequence we find that the…

Mesoscale and Nanoscale Physics · Physics 2016-08-15 Milica V. Milovanović , Efrat Shimshoni

A treatment of edge magnetoplasmons (EMP), based on a microscopic evaluation of the local contributions to the current density, is presented. It is valid in the quantum Hall regime for filling factor \nu=1 or 2 and low temperatures when the…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 O. G. Balev , P. Vasilopoulos

The influence of the incompressible strips on the integer quantized Hall effect (IQHE) is investigated, considering a cleaved-edge overgrown (CEO) sample as an experimentally realizable sharp edge system. We propose a set of experiments to…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 U. Erkarslan , G. Oylumluoglu , M. Grayson , A. Siddiki

We present here a model of the exchange-correlation hole for strongly correlated systems using a simple nonlocal generalization of the Wigner--Seitz radius. The model behaves similarly to the strictly correlated electron approach, which…

Chemical Physics · Physics 2014-10-13 Lucas O. Wagner , Paola Gori-Giorgi

Magnetic reconnection can power spectacular high-energy astrophysical phenomena by producing non-thermal energy distributions in highly magnetized regions around compact objects. By means of two-dimensional fully kinetic particle-in-cell…

High Energy Astrophysical Phenomena · Physics 2025-08-28 Sebastiaan Selvi , Oliver Porth , Bart Ripperda , Fabio Bacchini , Lorenzo Sironi , Rony Keppens

We study the role of the Hall current and electron inertia in collisionless magnetic reconnection within the framework of full two-fluid MHD. At spatial scales smaller than the electron inertial length, a topological change of magnetic…

Plasma Physics · Physics 2016-03-23 Nahuel Andrés , Pablo Dmitruk , Daniel Gómez

In this work we implement the self-consistent Thomas-Fermi model that also incorporates a local conductivity model to an electron-electron bilayer system, in order to describe novel magneto-transport properties such as the Drag Phenomenon.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 K. Guven , A. Siddiki , P. M. Krishna , T. Hakioglu

We provide a systematic quantitative description of the edge state structure around a quantum antidot in the integer quantum Hall regime. The calculations for spinless electrons within the Hartree approximation reveal that the widely used…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Ihnatsenka , I. V. Zozoulenko

A novel variational method is proposed for calculating the percolation threshold, the real-space structure, and the thermodynamical compressibility of a disordered two-dimensional electron liquid. Its high accuracy is verified against prior…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael M. Fogler

For atoms embedded in dense plasma, the plasma screening effects will greatly alter their structure and dynamics, and then determine the radiation transport properties of the plasma. In the present work, a new statistical model is proposed…

Plasma Physics · Physics 2020-11-25 Fuyang Zhou , Yizhi Qu , Junwen Gao , Yulong Ma , Yong Wu , Jianguo Wang

Evaluating accessible conformational space is computationally expensive and thermal motions are partly neglected in computer models of molecular interactions. This produces error into the estimates of binding strength. We introduce a method…

Quantitative Methods · Quantitative Biology 2016-12-13 Riku Hakulinen , Santeri Puranen

A new variational method for studying the equilibrium states of an interacting particles system has been proposed. The statistical description of the system is realized by means of a density matrix. This method is used for description of…

General Physics · Physics 2014-12-19 Boris Bondarev

We present a general method to bosonize systems of Fermions with infinitely many degrees of freedom, in particular systems of non-relativistic electrons at positive density, by expressing the quantized conserved electric charge- and current…

High Energy Physics - Theory · Physics 2011-07-19 J. Froehlich , R. Goetschmann , P. A. Marchetti