Consider a metal whose Fermi surface consists of two separate
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
Consider a metal whose Fermi surface consists of two separate, nearly spherical pockets centred at Γ: an electron pocket of radius ke=0.40A˚−1 (states inside are occupied, band nearly empty) and a hole pocket of radius kh=0.60A˚−1 (states inside are empty, band nearly full). A field B=5.0T is applied along a direction that cuts both pockets through their centres.
((a)) Find the real-space orbit radius for an electron on the electron pocket and for a hole on the hole pocket.
((b)) State, with reasoning, how the sense of gyration of the two real-space orbits compares for the same B.