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We theoretically consider effectively one-dimensional quantum droplets in a symmetric Bose-Bose mixture confined in a parabolic trap. We systematically investigate ground and excited families of localized trapped modes which bifurcate from…

Quantum Gases · Physics 2023-04-12 Dmitry A. Zezyulin

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

Variational and diffusion quantum Monte Carlo methods are employed to investigate the zero-temperature phase diagram of the three-dimensional homogeneous electron gas at very low density. Fermi fluid and body-centered cubic Wigner crystal…

Strongly Correlated Electrons · Physics 2022-07-13 Sam Azadi , N. D. Drummond

Two dimensional electron gases (2DEGs) at a oxide heterostructures are attracting considerable attention, as these might substitute conventional semiconductors for novel electronic devices [1]. Here we present a minimal set-up for such a…

The electronic structure of the ground and some excited states of neutral atoms with the nuclear charge numbers $1\leq Z \leq 10$ and their single positive ions are investigated by means of our 2D mesh Hartree-Fock method for strong…

Atomic Physics · Physics 2009-10-31 M. V. Ivanov , P. Schmelcher

The homogeneous electron gas is one of the most studied model systems in condensed matter physics. It is also at the basis of the large majority of approximations to the functionals of density functional theory. As such, its…

Strongly Correlated Electrons · Physics 2020-07-14 Robert Schlesier , Carlos L. Benavides-Riveros , Miguel A. L. Marques

We used the Hartree-Fock approximation to classify the electronic phases that might occur in a transition metal nanowire. The important features of this situation are orbital degeneracy (or near-degeneracy) and interactions favoring locally…

Strongly Correlated Electrons · Physics 2014-12-15 Jun-ichi Okamoto , A. J. Millis

The two dimensional electron gas (2DEG) in moderate magnetic fields in ultra-clean AlAs-GaAs heterojunctions exhibits transport anomalies suggestive of a compressible, anisotropic metallic state. Using scaling arguments and Monte Carlo…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eduardo Fradkin , Steven A. Kivelson , Efstratios Manousakis , Kwangsik Nho

We study a system in which electrons in a two-dimensional electron gas are confined by a nonhomogeneous nuclear spin polarization. The system consists of a heterostructure that has non-zero nuclei spins. We show that in this system…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yu. V. Pershin

A Hartree-Fock mean-field theory of a weakly interacting Bose-gas in a quenched white noise disorder potential is presented. A direct continuous transition from the normal gas to a localized Bose-glass phase is found which has localized…

Disordered Systems and Neural Networks · Physics 2009-11-08 Robert Graham , Axel Pelster

Radial, angular and total correlation energies are calculated for four two-electron systems with atomic numbers Z=0-3 confined within an impenetrable sphere of radius R. We report accurate results for the non-relativistic, restricted…

Atomic Physics · Physics 2015-05-19 C. L. Wilson , H. E. Montgomery , K. D. Sen , D. C. Thompson

We report first principles characterization of the structural and electronic properties of (SrTiO$_{3}$)$_{5}$/(SrRuO$_{3}$)$_{1}$ superlattices. We show that the system exhibits a spin-polarized two-dimensional electron gas, extremely…

We introduce an elementary model for the electrostatic self-consistent potential in a two-dimensional electron gas. By considering the perpendicular degree of freedom arising from the electron tunneling out of the system plane, we predict a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. C. Flores , V. Bellani , F. Dominguez-Adame

Electron transport properties of few-electron open quantum dots within the spin-restricted Hartree-Fock approximation are studied. The self-consistent numerical calculations were performed for a whole device, including the semi-infinite…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 S. Ihnatsenka

We study the ground-state correlation energy $E_{\rm c}$ of two electrons of opposite spin confined within a $D$-dimensional ball ($D \ge 2$) of radius $R$. In the high-density regime, we report accurate results for the exact and restricted…

Other Condensed Matter · Physics 2010-08-17 Pierre-François Loos , Peter M. W. Gill

We demonstrate that unrestricted Hartree-Fock theory applied to electrons in a uniform potential has stable Wigner crystal solutions for $r_s \geq 1.44$ in two dimensions and $r_s \geq 4.5$ in three dimensions. The correlation energies of…

Materials Science · Physics 2009-10-01 J. R. Trail , M. D. Towler , R. J. Needs

The Hartree-Fock ground state of the Homogeneous Electron Gas is never translation invariant, even at high densities. As proved by Overhauser, the (paramagnetic) free Fermi Gas is always unstable under the formation of spin or charge…

Strongly Correlated Electrons · Physics 2019-05-08 David Gontier , Christian Hainzl , Mathieu Lewin

Oxide heterostructures are of great interest both for fundamental and applicative reasons. In particular the two-dimensional electron gas at the LaAlO$_3$/SrTiO$_3$ or LaTiO$_3$/SrTiO$_3$ interfaces displays many different physical…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 N. Scopigno , D. Bucheli , S. Caprara , J. Biscaras , N. Bergeal , J. Lesueur , M. Grilli

We have analyzed low-temperature behavior of two-dimensional electron gas in polar heterostructures subjected to a high electric field. When the optical phonon emission is the fastest relaxation process, we have found existence of…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 V. V. Korotyeyev , V. A. Kochelap , L. Varani

We consider the Hubbard model for electrons in a two-dimensional quasiperiodic tiling using the Hartree--Fock approximation. Numerical solutions are obtained for the first three square approximants of the perfect octagonal tiling. At…

Condensed Matter · Physics 2009-10-28 A. Jagannathan , H. J. Schulz