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We derive a local approximation for the correlation energy in two-dimensional electronic systems. In the derivation we follow the scheme originally developed by Colle and Salvetti for three dimensions, and consider a Gaussian approximation…

Strongly Correlated Electrons · Physics 2008-11-21 S. Pittalis , E. Rasanen , M. Marques

We investigate a Coulomb gas in a potential satisfying a weaker growth assumption than usual and establish a large deviation principle for its empirical measure. As a consequence the empirical measure is seen to converge towards a…

Probability · Mathematics 2012-05-29 Adrien Hardy

A self-consistent-field theory is given for the electronic collective modes of a chain containing a finite number, $N$, of Coulomb-coupled spherical two-dimensional electron gases (S2DE's) arranged with their centers along a straight line,…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Liubov Zhemchuzhna , Godfrey Gumbs , Andrii Iurov , Danhong Huang , Bo Gao

In this paper, density functional theory calculations are used to explore the electronic and atomic reconstruction at interfaces between III-III/I-V oxides. In particular, at these interfaces, two dimensional electron gases (2DEGs) with…

Materials Science · Physics 2012-06-06 Valentino R. Cooper

The capacitance of the double layer formed at a metal/ionic-conductor interface can be remarkably large, so that the apparent width of the double layer is as small as 0.3 \AA. Mean-field theories fail to explain such large capacitance. We…

Soft Condensed Matter · Physics 2010-03-30 Brian Skinner , M. S. Loth , B. I. Shklovskii

Coupled colloidal quantum dot molecules composed of two fused CdSe/CdS core/shell sphere monomers were recently presented. Upon fusion, the potential energy landscape is changing into two quantum dots separated by a pre-tuned potential…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 Yossef E. Panfil , Doaa Shamalia , Jiabin Cui , Somnath Koley , Uri Banin

Varying the quantum-well width in an HgTe/CdTe heterostructure allows to realize normal and inverted semiconducting band structures, making it a prototypical system to study two-dimensional (2D) topological-insulator behavior. We have…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 T. Kernreiter , M. Governale , U. Zülicke

We consider a model of three electrons and one hole confined in a two-dimensional (2D) plane, interacting with one another through Coulomb forces. Using a Ritz variational method we find an upper bound of \approx -0.0112me^4/8\pi^2 \epsilon…

Strongly Correlated Electrons · Physics 2007-05-23 Nie Luo

The Bragg-Williams free energy is used to incorporate nearest-neighbor interactions into the lattice gas model of a solvent-free ionic liquid near a planar electrode. We calculate the differential capacitance from solutions of the…

Chemical Physics · Physics 2018-12-04 Rachel Downing , Bjorn K. Berntson , Guilherme V. Bossa , Sylvio May

We report measurements of GaAs/AlGaAs undoped field-effect transistors in which two-dimensional electron gases (2DEGs) of exceptional quality and versatility are induced without modulation doping. Electron mobilities at T=4.2 K and density…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. R. Facer , B. E. Kane , A. S. Dzurak , R. J. Heron , N. E. Lumpkin , R. G. Clark , L. N. Pfeiffer , K. W. West

Based on a thermodynamic approach, we have calculated the resistivity of a 2D electron gas, assumed $dissipationless$ in a strong quantum limit. Standard measurements, with extra current leads, define the resistivity caused by a combination…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. V. Cheremisin

We report experimental observation of an unexpectedly large thermopower in mesoscopic two-dimensional (2D) electron systems on GaAs/AlGaAs heterostructures at sub-Kelvin temperatures and zero magnetic field. Unlike conventional non-magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Srijit Goswami , Christoph Siegert , Matthias Baenninger , Arindam Ghosh , Michael Pepper , Ian Farrer , David A. Ritchie

The capacitance of arbitrarily shaped objects is reformulated in terms of the Neumann-Poincar\'{e} operator. Capacitance is simply the dielectric permittivity of the surrounding medium multiplied by the area of the object and divided by the…

Mesoscale and Nanoscale Physics · Physics 2013-04-25 Titus Sandu , George Boldeiu , Victor Moagar-Poladian

We have considered the conductivity properties of a two dimensional electron gas (2DEG) in two different kinds of inhomogeneous magnetic fields, i.e. a disordered distribution of magnetic flux vortices, and a periodic array of magnetic flux…

Condensed Matter · Physics 2009-10-22 Mads Nielsen , Per Hedegaard

Two-dimensional (2D) strongly correlated electron systems underlie many of the most important phenomena in contemporary condensed matter physics, including the Quantum Hall Effect (QHE), ``high T_c'' superconductivity, and possible exotic…

Strongly Correlated Electrons · Physics 2007-05-23 S. Mazumdar , R. T. Clay , D. K. Campbell

The amplitude V_0 of unidirectional periodic potential modulation introduced by a surface grating into a two-dimensional electron gas (2DEG) formed at AlGaAs/GaAs heterointerface is measured as a function of electron density n_e by…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Akira Endo , Yasuhiro Iye

Vertical heterostructures combining different layered materials offer novel opportunities for applications and fundamental studies of collective behavior driven by inter-layer Coulomb coupling. Here we report heterostructures comprising a…

Mesoscale and Nanoscale Physics · Physics 2015-01-09 A. Gamucci , D. Spirito , M. Carrega , B. Karmakar , A. Lombardo , M. Bruna , A. C. Ferrari , L. N. Pfeiffer , K. W. West , Marco Polini , V. Pellegrini

Two-dimensional electron systems with fascinating properties exist in multilayers of standard semiconductors, on helium surfaces, and in oxides. Compared to the two-dimensional (2D) electron gases of semiconductors, the 2D electron systems…

Strongly Correlated Electrons · Physics 2016-06-22 J. Zabaleta , V. S. Borisov , R. Wanke , H. O. Jeschke , S. C. Parks , B. Baum , A. Teker , T. Harada , K. Syassen , T. Kopp , N. Pavlenko , R. Valentí , J. Mannhart

We consider the Coulomb drag between two layers of two-dimensional electronic gases subject to a strong magnetic field. We first focus on the case in which the electronic density is such that the Landau level filling fraction $\nu$ in each…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Iddo Ussishkin , Ady Stern

A method for a calculation of quantum capacitance for a two-dimesional electron gas (2DEG) in potential wells of complicated geometry on the base of a quantum wave impedance technique was proposed. The application of this method was…

Quantum Physics · Physics 2020-10-23 O. I. Hryhorchak
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