Abstract
The effects of nonzero temperature, finite thickness and magnetic fields
on an electron gas confined in a quasi-two-dimensional (Q2DEG) region
are studied. Finite values of the thickness allow the existence of
energy bands and give new characteristics to the system. Here we study
some thermodynamic and transport properties to get a better
understanding of these effects. For electronic densities of the order of
10(12) electrons per cm(2), and temperatures lower than 4 K, it is found
that the chemical potential, free energy, magnetization, magnetic
susceptibility and the inverse of Hall conductivity are independent of
the thickness up to it reaches a threshold value. Systems with
thicknesses a little above of the critical value lose the
two-dimensional character, but they do not have the properties of a
three-dimensional electron gas. (C) 2011 Elsevier B.V. All rights
reserved.
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