5 papers
A new perspective on the anomalous Hall effect
Jason G. Kattan, Matthew Albert, J. E. Sipe
We revisit the anomalous Hall effect in magnetic conductors, and its generalization to finite frequencies, using a formalism based on microscopic notions of polarization, magnetiza…
Linear response of the Chern insulator MnBiTe: A Wannier function approach
Matthew Albert, Javier Sivianes, Jason G. Kattan +2
Recent work demonstrated that in the long wavelength limit the linear response of a Chern insulator to finite-frequency electric fields is the sum of two terms: A general frequency…
Chern insulators in two and three dimensions: A global perspective
Jason G. Kattan, J. E. Sipe
We introduce a second-quantized field theory for Chern insulators in which the Hamiltonian features a static vector potential that has the periodicity of the crystal's lattice and…
Frequency Dependent Magnetic Susceptibility and the effective conductivity tensor
Alistair H. Duff, J. E. Sipe
We apply a microscopic formalism for the calculation of material response properties to the problem of the generalization of a first-principles, i.e based on the energy spectrum an…
Linear response of a Chern insulator to finite-frequency electric fields
Jason G. Kattan, Alistair H. Duff, J. E. Sipe
We derive the macroscopic charge and current densities of a Chern insulator initially occupying its electronic ground state as it responds to a finite-frequency electric field; we…