A de Haas-van Alphen measurement on a small

PHYSICS · Multi-part · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Free electrons, energy bands and electronic structure · Free electrons, energy bands and electronic structure

Solid State Physics, Ch The Fermi surface: semiclassical dynamics and its measurement

Problem

A de Haas-van Alphen measurement on a small, nearly spherical electron pocket in an intermetallic compound gives a fundamental frequency

F=1.20\times10^{4}\,\mathrm{T}

for the extremal orbit. ((a)) Find the radius

k_e

of the pocket, treating the extremal orbit as a great circle of the sphere. ((b)) A free-electron count for this compound predicts

k_F=0.620\,\mathrm{\AA}^{-1}

for the same band. State the percentage difference between the measured radius and this prediction.

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