Quantum oscillations in confined and degenerate Fermi gases. I. Half-vicinity model

Aydın A., Sisman A.

PHYSICS LETTERS A, vol.382, no.27, pp.1807-1812, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 382 Issue: 27
  • Publication Date: 2018
  • Doi Number: 10.1016/j.physleta.2018.02.006
  • Journal Name: PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1807-1812
  • Istanbul Technical University Affiliated: Yes


We propose an analytical model for the prediction and accurate calculation of size and density dependent quantum oscillations in thermodynamic and transport properties of confined and degenerate Fermi gases. Our model considers only half-vicinity states of Fermi level. We show that the half-vicinity model quite accurately estimates quantum oscillations depending on confinement and degeneracy. Periods of quantum oscillations are even analytically expressed for one-dimensional case. Furthermore, similarities between functional behaviors of total occupancy variance and conventional density of states functions at Fermi level are discussed. (C) 2018 Elsevier B.V. All rights reserved.