ELECTRON-PHONON RENORMALIZATION EFFECTS IN HIGH MAGNETIC FIELDS. THE DE HAAS-VAN ALPHEN EFFECT.
MARYLAND UNIV COLLEGE PARK DEPT OF PHYSICS AND ASTRONOMY
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When a metal is placed in a sufficiently strong magnetic field, it is to be expected that the effective mass of the electrons due to electron phonon interactions will be modified. The condition that the field will be strong enough to have an effect is that the cyclotron frequency be comparable to phonon frequencies. It is expected that such effects may be observable with experimentally realizable fields in some special cases. The amplitude dependence of the de Haas-van Alphen effect was calculated as a function of temperature and magnetic field. This amplitude can be interpreted as giving a field dependent effective mass. The amplitude was calculated numerically for several cases of interest. It is found that the field effects are rather smooth and depend most directly on the electron selfenergy function for pure imaginary values of the frequency. Author