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We determine numerically the ground state of the two-dimensional, fully polarized electron gas within the Hartree-Fock approximation without imposing any particular symmetries on the solutions. At low electronic densities, the Wigner…

Strongly Correlated Electrons · Physics 2014-03-04 B. Bernu , F. Delyon , M. Duneau , M. Holzmann

We calculate the ground state phase diagram of the homogeneous electron gas in two dimensions within the Hartree-Fock approximation. At high density, we find stable solutions, where the electronic charge and spin density form an…

Strongly Correlated Electrons · Physics 2014-03-04 B. Bernu , F. Delyon , M. Holzmann , L. Baguet

We calculate the ground state phase diagram of the homogeneous electron gas in three dimensions within the Hartree-Fock approximation and show that broken symmetry states are energetically favored at any density against the homogeneous…

Strongly Correlated Electrons · Physics 2014-03-04 Lucas Baguet , François Delyon , Bernard Bernu , Markus Holzmann

We consider the three-dimensional electron gas confined by a strictly two-dimensional homogeneous positive charge density at $z=0$. Within the Hartree-Fock approximation, we study the mode structure in the confined direction in the metallic…

Strongly Correlated Electrons · Physics 2011-06-16 B. Bernu , F. Delyon , M. Holzmann

We present a theoretical investigation of the voltage-driven metal insulator transition based on solving coupled Boltzmann and Hartree-Fock equations to determine the insulating gap and the electron distribution in a model system -- a one…

Strongly Correlated Electrons · Physics 2018-12-03 Giuliano Chiriacò , Andrew J. Millis

We study the boundary physics of bulk insulators by considering three coupled Hubbard chains in a linear confining potential. In the Hartree-Fock approximation, the ground state at and slightly off the particle-hole symmetric point remains…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Niels John , Yuval Gefen , Bernd Rosenow

We consider the ground state of the homogeneous electron gas and we prove that a Hartree-Fock solution, motivated by previous simulations, has lower energy than the Fermi gas in the large density limit. This solution is a metallic phase :…

Strongly Correlated Electrons · Physics 2008-07-08 F. Delyon , M. Duneau , B. Bernu , M. Holzmann

We have observed a metal-insulator transition in an ultra-low density two dimensional hole gas formed in a high quality GaAs-AlGaAs heterostructure at B=0. At the highest carrier density studied ($p_{s}=2.2x10^{10} cm^{-2}, r_{s}=16$) the…

Strongly Correlated Electrons · Physics 2009-10-30 M. Y. Simmons , A. R. Hamilton , T. G. Griffiths , A. K. Savchenko , M. Pepper , D. A. Ritchie

Recent experiments on the two dimensional electron gas in various semiconductor devices have revealed an unexpected metal-insulator transition and have challenged the previously held assumption that there is no such transition in two…

Strongly Correlated Electrons · Physics 2017-02-08 Sudip Chakravarty , Steven Kivelson , Chetan Nayak , Klaus Voelker

A new two-pole approximation, which allows to describe the transition from an insulating state to a metallic one at increase of bandwidth, and also the observable in some compounds transition from a metalic state to an insulating one with…

Strongly Correlated Electrons · Physics 2007-05-23 Leonid Didukh

A metal-insulator transition in two-dimensional electron gases at B=0 is found in Ga(Al)As heterostructures, where a high density of self-assembled InAs quantum dots is incorporated just 3 nm below the heterointerface. The transition occurs…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Ribeiro , R. Jaeggi , T. Heinzel , K. Ensslin , G. Medeiros-Ribeiro , P. M. Petroff

We have measured the local electronic compressibility of a two-dimensional hole gas as it crosses the B=0 Metal-Insulator Transition. In the metallic phase, the compressibility follows the mean-field Hartree-Fock (HF) theory and is found to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Ilani , A. Yacoby , D. Mahalu , Hadas Shtrikman

In a previous letter, L. Baguet et al., (Phys. Rev. Lett. {\bf 111}, 166402 (2013)), we presented the ground state phase diagram of the homogeneous electron gas in three dimensions within the Hartree-Fock approximation yielding…

Strongly Correlated Electrons · Physics 2014-10-27 L. Baguet , F. Delyon , B. Bernu , M. Holzmann

At very low density, the electrons in a uniform electron gas spontaneously break symmetry and form a crystalline lattice called a Wigner crystal. But which type of crystal will the electrons form? We report a numerical study of the density…

We study theoretically the quantum phase transition from a metal to a Wigner-Mott insulator at fractional commensurate filling on a two-leg ladder. We show that a continuous transition out of a symmetry-preserving Luttinger liquid metal is…

Strongly Correlated Electrons · Physics 2022-12-23 Seth Musser , T. Senthil

Metallic interfaces between insulating perovskites are often observed in heterostructures combining polar and nonpolar materials. In these systems, the polar discontinuity across the interface may drive an electronic reconstruction inducing…

Strongly Correlated Electrons · Physics 2014-10-22 Yukiko Omori , Andreas Rüegg , Manfred Sigrist

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

A two-dimensional gas of non-interacting quasiparticles in a nearly periodic potential is considered at zero temperature. The potential is a superposition of a periodic potential, induced by the charge density wave of a Wigner crystal, and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Ziegler

We consider low-temperature behavior of weakly interacting electrons in disordered conductors in the regime when all single-particle eigenstates are localized by the quenched disorder. We prove that in the absence of coupling of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. M. Basko , I. L. Aleiner , B. L. Altshuler

The pyrochlore lattice involves corner sharing tetrahedra and the resulting geometric frustration is believed to suppress any antiferromagnetic order for Mott insulators on this structure. There are nevertheless short-range correlations…

Strongly Correlated Electrons · Physics 2016-10-19 Nyayabanta Swain , Rajarshi Tiwari , Pinaki Majumdar
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