Coordinate-shift induced electron transport in strong magnetic field

In a strong magnetic field, electrons primarily execute cyclotron motion, with transverse transport in an electric field from the drifting of cyclotron orbits. We present a classical-Boltzmann theory of longitudinal transport in terms of coordinate shifts of such orbits upon scattering with impurities. During the electron-impurity scattering, the guiding centers suddenly shift their positions, which accumulatively contribute to a longitudinal current. Along with coordinate shifts, the cyclotron orbit radius are also changed, accounting for energy dissipation in the electric field. The resulting longitudinal conductivity is in agreement with the Drude phenomenological theory even beyond the weak scattering limit.