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 layered metal has a Fermi surface that is, to good approximation, an infinite cylinder of radius kF=0.80A˚−1 with its axis along [001], perpendicular to the layers. A field B=2.0T is applied.
((a)) For B∥[001] (along the cylinder axis), describe the k-space orbit and compute the real-space orbit radius.
((b)) For B⊥[001] (in the plane of the layers), describe the k-space orbit and the resulting real-space motion, and state whether a cyclotron period can be defined.