Magnetostriction of bismuth in quantizing magnetic fields

Abstract

Experimental data on the longitudinal magnetostriction of two pure and one $p$-type bismuth single crystals are reported for fields up to 19 T at temperatures near 2 K. These data are consistent with a model based on the deformation potential concept used to compute the magnetostrictive strain components versus field, using the known field-dependent band structure of bismuth. It is shown that, when elastic and deformation potential constants are available, the magnetostriction of diamagnetic conducting solids can be used as a tool to determine the field-dependent band structure above the ultraquantum limit.