2010/03/12 by A. M. Awobode, Awobode, A. M.
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Organic and Molecular Conductors Research #Physics of Superconductivity and Magnetism #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Surface and Thin Film Phenomena
paper · pdf · doi:10.48550/arxiv.1003.2651
openalex publication_date 2010/03/12 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28
It is shown that the frequency of the de Haas van Alphen effect in\nnonsuperconducting metals at very low temperatures is significantly corrected\nby a perturbative term which appears in the Landau equation sequel to an\nextension of the Pauli equation. The correction to the frequency of the de Haas\nvan Alphen oscillations is found to depend on the Fermi energy and the\nmeasurable anomalous part of the electron gyro-magnetic factor. Furthermore, it\nis shown that as a consequence of the perturbing term the electronic specific\nheat Cv of a dilute, degenerate Fermi gas, under high magnetic field induction\ngreater that 25 Tesla and at ultra-low temperatures of the order of one milli\nKelvin shows an anomalous behavior, and at a finite temperature becomes\nvanishingly small, i.e Cv is approximately zero, as the temperature approaches\nabsolute zero. Precision measurement at low temperatures and high magnetic\nfields of the magneto optical absorption in simple band semiconductors is\nsuggested as an immediate way of detecting the modification of the Landau\nlevels due to the weak perturbation term which corrects in a magnetic field,\nthe kinetic energy of the electrons.\n