A complete theory for the magnetism of an ideal gas of electrons
arXiv:1301.3025 · doi:10.1063/1.4804274
Abstract
We have explored Pauli paramagnetism, Landau diamagnetism and de Haas-van Alphen effect in a single framework, and unified these three effects for all temperatures as well as for all strengths of magnetic field. Our result goes beyond Pauli-Landau result on the magnetism of the 3-D ideal gas of electrons, and is able to describe crossover of the de Haas-van Alphen oscillation to the saturation of magnetization. We also have obtained a novel asymptotic series expansion for the low temperature properties of the system.
8 pages, 5 figures; Accepted in Physics of Plasmas
References in corpus (5)
- Fermi-liquid instabilities at magnetic quantum phase transitions
- Correlation between magnetism and magnetocaloric effect in RCo2-based Laves phase compounds
- Pauli paramagnetism of an ideal Fermi gas
- Thermodynamics of quantum gases for the entire range of temperature
- de Haas-van Alphen effect versus Integer Quantum Hall effect
Cited by in corpus (4)
- Finite temperature Casimir effect for charged massless scalars in a magnetic field
- Finite temperature Casimir effect for massive scalars in a magnetic field
- Artificial magnetism for a harmonically trapped Fermi gas in a synthetic magnetic field
- Scaling theory for the collapse of a trapped Bose gas in a synthetic magnetic field: a critical study at the condensation point