de Haas-van Alphen Effect and the Specific Heat of an Electron Gas

摘要: A model electron gas is studied in order to provide a microscopic justification of the Shoenberg conjecture that harmonic content de Haas-van Alpen oscillations magnetization $\stackrel{\ensuremath{\rightarrow}}{M}$ can properly be explained by replacing applied field $\stackrel{\ensuremath{\rightarrow}}{H}$ elementary expression for $\stackrel{\ensuremath{\rightarrow}}{M}(\stackrel{\ensuremath{\rightarrow}}{H})$ total induction $\stackrel{\ensuremath{\rightarrow}}{B}=\stackrel{\ensuremath{\rightarrow}}{H}+\stackrel{\ensuremath{\rightarrow}}{M}$. The contains current-current interaction between electrons; and it shown unscreened long-range nature this leads term low-temperature specific heat proportional $T \mathrm{ln}T$. For with terrestrial densities coefficient anomalous very small probably beyond detection.