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Problem: Electrons in 2D Nearly Free Electron Band

An electron of mass m moves in a square lattice of lattice spacing a. The nearly free-electron approximation applies.

(a) With one electron per site in the crystal, draw the Fermi surface on the plane. Is this a metal or an insulator?

(b) With two electrons per site, draw the Fermi surface. Is this a metal or an insulator?

This document can be accessed on the World Wide Web at "http//:solidstate.physics.sunysb.edu/book/prob/ ".

Laszlo Mihaly
Thu Oct 31 13:23:11 EST 1996

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