Open AccessThermodynamical properties of a three-dimensional free electron gas confined in a one-dimensional harmonical potential
Author(s) -
Shao Zong-Qian,
Chen Jin-Wang,
Yuqi Li,
Xiao-Yin Pan
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.240502
Subject(s) - condensed matter physics , magnetization , fermi gas , magnetic field , specific heat , physics , electron , harmonic oscillator , free electron model , function (biology) , materials science , quantum mechanics , evolutionary biology , biology
We study the thermodynamical properties of a noninteracting electron gas confined in one dimension by a harmonic-oscillator potential. The exact analytical expression for the thermodynamical potential is obtained by using a formula of contour integration. The magnetizations, magnetic susceptibilities, and the specific heats are then studied each as a function of the strength of the magnetic field in different regimes of the temperature and effective thickness. It is shown at low temperature, the magnetization, magnetic susceptibility, and the specific heat oscillate as the strength of the magnetic field increases. Especially, there exist two modes of oscillations for the specific heat in certain regimes of low temperature and effective thickness.