Hartree-Fock description of a Wigner crystal in two dimensions

V. Kagalovsky; S. V. Kravchenko; D. Nemirovsky

doi:10.1016/j.physe.2020.114016

Hartree-Fock description of a Wigner crystal in two dimensions

V. Kagalovsky
, S. V. Kravchenko
, D. Nemirovsky

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We perform numerical studies of strongly interacting electrons on a two-dimensional lattice in the Hartree-Fock approximation. The results clearly show significant ordering of the positions of the electrons with decreasing temperature signaling the formation of a two-dimensional Wigner crystal. The degree of order as a function of temperature is in a good qualitative agreement with experimental results for the threshold voltage at which the depinning of the crystal occurs. In the limit of very strong electron-electron interactions, the ordering of the electrons becomes almost perfect.

Original language	English
Article number	114016
Journal	Physica E: Low-Dimensional Systems and Nanostructures
Volume	119
DOIs	https://doi.org/10.1016/j.physe.2020.114016
State	Published - 1 May 2020
Externally published	Yes

Keywords

Hartree-Fock method
Occupation number
Wigner crystal

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics

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10.1016/j.physe.2020.114016

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title = "Hartree-Fock description of a Wigner crystal in two dimensions",

abstract = "We perform numerical studies of strongly interacting electrons on a two-dimensional lattice in the Hartree-Fock approximation. The results clearly show significant ordering of the positions of the electrons with decreasing temperature signaling the formation of a two-dimensional Wigner crystal. The degree of order as a function of temperature is in a good qualitative agreement with experimental results for the threshold voltage at which the depinning of the crystal occurs. In the limit of very strong electron-electron interactions, the ordering of the electrons becomes almost perfect.",

keywords = "Hartree-Fock method, Occupation number, Wigner crystal",

author = "V. Kagalovsky and Kravchenko, \{S. V.\} and D. Nemirovsky",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2020",

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doi = "10.1016/j.physe.2020.114016",

language = "English",

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TY - JOUR

T1 - Hartree-Fock description of a Wigner crystal in two dimensions

AU - Kagalovsky, V.

AU - Kravchenko, S. V.

AU - Nemirovsky, D.

PY - 2020/5/1

Y1 - 2020/5/1

N2 - We perform numerical studies of strongly interacting electrons on a two-dimensional lattice in the Hartree-Fock approximation. The results clearly show significant ordering of the positions of the electrons with decreasing temperature signaling the formation of a two-dimensional Wigner crystal. The degree of order as a function of temperature is in a good qualitative agreement with experimental results for the threshold voltage at which the depinning of the crystal occurs. In the limit of very strong electron-electron interactions, the ordering of the electrons becomes almost perfect.

AB - We perform numerical studies of strongly interacting electrons on a two-dimensional lattice in the Hartree-Fock approximation. The results clearly show significant ordering of the positions of the electrons with decreasing temperature signaling the formation of a two-dimensional Wigner crystal. The degree of order as a function of temperature is in a good qualitative agreement with experimental results for the threshold voltage at which the depinning of the crystal occurs. In the limit of very strong electron-electron interactions, the ordering of the electrons becomes almost perfect.

KW - Hartree-Fock method

KW - Occupation number

KW - Wigner crystal

UR - https://www.scopus.com/pages/publications/85079842228

U2 - 10.1016/j.physe.2020.114016

DO - 10.1016/j.physe.2020.114016

M3 - Article

AN - SCOPUS:85079842228

SN - 1386-9477

VL - 119

JO - Physica E: Low-Dimensional Systems and Nanostructures

JF - Physica E: Low-Dimensional Systems and Nanostructures

M1 - 114016

ER -

Hartree-Fock description of a Wigner crystal in two dimensions

Abstract

Keywords

ASJC Scopus subject areas

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