Effect of an in-plane electric field on the magnetotransport in a helical metal

The existence of helical surface states in a bulk insulator, with anomalous magneto-electric properties, is a remarkable new development in solid state physics. The linear dispersion of the the fermions leads to a form of Lorentz invariance, with the Fermi velocity playing the role of the velocity of light ($c$). In a crossed electric and magnetic field the single particle states form Landau levels whose energies can be changed by varying the applied \emph{in-plane electric} field. The degeneracy remains constant and is determined by the magnetic field. In the letter we study the nature of the mangeto-oscillation in conductivity and thermopower as a function of the \emph{in-plane electric} field.