Airy gas model: From three to reduced dimensions

K. Bencheikh, A. Putaja, E. Räsänen

Tutkimustuotos: ArticleScientificvertaisarvioitu

Abstrakti

By using the propagatorof linear potential as a main tool,we extend theAiry gas (AG) model, originally developed for the three-dimensional (d = 3) edge electron gas, to systems in reduced dimensions (d = 2, 1). First, we derive explicit expressions for the edge particle density and the corresponding kinetic energy density (KED) of the AG model in all dimensions. The densities are shown to obey the local virial theorem. We obtain a functional relationship between the positive KED and the particle density and its gradients and analyze the results inside the bulk as a limit of the local-density approximation. We show that in this limit the KED functional reduces to that of the Thomas-Fermi model in dimensions.

AlkuperäiskieliEnglanti
Artikkeli255302
JulkaisuJournal of Physics A: Mathematical and Theoretical
Vuosikerta54
Numero25
DOI - pysyväislinkit
TilaJulkaistu - toukokuuta 2021
OKM-julkaisutyyppiA1 Alkuperäisartikkeli

Julkaisufoorumi-taso

  • Jufo-taso 2

!!ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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