Consider a wire ribbon made from a 2-dimensional conductor with reciprocal mass tensor with
components bxx=3, byy=4, bxy=byx=0 in units of inverse electron mass. Assume the wire extends mainly
in the x-direction, but with some width in the y-direction. Assume the collision time is independent of
direction and has a value of 2.7E-11 sec. Assume two electrons per atom with a square lattice of spacing
0.1 nm.
a. What is the current density (magnitude and direction) when an electric field of 1 V/m is applied
along the +x direction?
b. What direction would you have to apply an electric field to make the current flow along the
diagonal (x = y) direction?