The de Haas-van Alphen Effect in Enriched Tin Isotopes

Abstract

The de Haas-van Alphen effect has been investigated in tin isotopes in the liquid helium temperature range, and no conclusive evidence has been found indicating a dependence of the effect upon atomic mass. However, some new features of the effect have been investigated which are interpreted as being caused by at least two independent groups of electrons. One group of electrons, having effective masses $m_3=1.1\mathrm{}{m}_0$ (where $m_0$ is the free electron mass) parallel to the tetragonal axis and $m_1=0.16\mathrm{}{m}_0$ perpendicular to the tetragonal axis, and having a chemical potential of $E_0=0.25\mathrm{}$ electron volt, gives rise to short period oscillations in the magnetic susceptibility as the magnetic field is varied. A second group of electrons having a chemical potential $E_0=0.20\mathrm{}$ electron volts and for which the effective masses are not so clearly defined gives rise to longer period oscillations such that the observed de Haas-van Alphen oscillations exhibit beats between the long and short period terms.