In solid state conductors, linear response to a steady electric field is normally dominated by
Bloch state occupation number changes that are correlated with group velocity and lead to a …

We present a general quantum kinetic theory of low-field magnetotransport in weakly
disordered crystals that accounts fully for the interplay between electric-field-induced …

The anomalous Hall effect (AHE) occurs in solids with broken time-reversal symmetry,
typically in a ferromagnetic phase, as a consequence of spin-orbit coupling. Experimental …

The semiclassical equations of motion are widely used to describe carrier transport in
conducting materials. Nevertheless, the substantial challenge of incorporating disorder …

Ohm's law is a fundamental paradigm in the electrical transport of metals. Any transport
signatures violating Ohm's law would give an indisputable fingerprint for a novel metallic …

We discuss the characterization of the polarization for insulators under the periodic
boundary condition in terms of the Berry phase, clarifying confusing subtleties. For band …

We present a unified theory for wave-packet dynamics of electrons in crystals subject to
perturbations varying slowly in space and time. We derive the wave-packet energy up to the …

We derive a multi-band formulation of the orbital magnetization in a normal periodic
insulator (ie, one in which the Chern invariant, or in two dimensions (2D) the Chern number …

We develop a formalism for treating coherent wave-packet dynamics of charge and spin
carriers in degenerate and nearly degenerate bands. We consider the two-band case …

Ever since its discovery the notion of Berry phase has permeated through all branches of
physics. Over the past three decades it was gradually realized that the Berry phase of the …