https://doi.org/10.1140/epjb/e2009-00443-5
Thermodynamic functions of electron gas on the semiconductor nanotube surface in a magnetic field
Department of Theoretical Physics, V.N. Karazin Kharkiv National University,
4 Svobody square, 61077 Kharkiv, Ukraine
Corresponding author: georgiy.i.rashba@univer.kharkov.ua
Received:
16
July
2009
Published online:
31
December
2009
Thermodynamic functions have been calculated in the effective mass approximation for degenerate and nondegenerate electron gases on the semiconductor cylindrical nanotube surface in a longitudinal magnetic field. The Laplace transform linking the density of states and the statistical sum has been used. The thermodynamic quantities of degenerate electron gas undergo the de Haas-van Alphen oscillations with the electron Fermi energy change and the Aharonov-Bohm oscillations with the magnetic flux change within the semiconductor tube cross section. The quantities related to nondegenerate gas oscillate only with the change of magnetic flux. A peak has been found in the nondegenerate gas heat capacity-temperature diagram. A limiting process to 2D electron gas on plane has been carried out.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010
