Edge state magnetoresistance of a two-dimensional topological insulator

The magnetoresistance theory of the edge state of a two-dimensional topological insulator is developed. The magnetic field violates the time reversal invariance. Magnetoresistance arises due to the energy gap opened by a magnetic field. The combined action of impurities and magnetic field causes the backscattering of edge electrons. Although impurities are necessary for scattering, a sufficiently strong interaction with impurities leads to backscattering suppression.