Signatures of the Berry curvature in the frequency dependent interlayer magnetoresistance in tilted magnetic fields

Abstract

We show that in a layered metal, the angle dependent, finite frequency, interlayer magnetoresistance is altered due to the presence of a non-zero Berry curvature at the Fermi surface. At zero frequency, we find a conservation law which demands that the `magic angle' condition for interlayer magnetoresistance extrema as a function of magnetic field tilt angle is essentially both field and Berry curvature independent. In the finite frequency case, however, we find that surprisingly large signatures of a finite Berry curvature occur in the periodic orbit resonances. We outline a method whereby the presence and magnitude of the Berry curvature at the Fermi surface can be extracted.

arXiv commentWe corrected an error in the original preprint. A term in the equations of motion was overlooked which leads to a cancellation of terms involving the Berry curvature in the magic angle condition. We show this surprising result follows from a strict conservation law. However, the finite frequency interlayer conductivity is altered by the Berry curvature due to its effect on the cyclotron frequency