116 research outputs found
The Anomalous Hall Effect
This article reviews the main contributions to the anomalous Hall effect and
its resurgence in the past three decades, which has been accompanied by the
rise of topological phenomena and topological materials. I will show that the
anomalous Hall effect stems from the interplay of magnetism, spin-orbit
coupling, disorder scattering and driving electric fields, it spans the
classical, quantum and relativistic worlds, and has generated controversy for
nearly one and a half centuries. It has become the smoking gun for detecting
magnetic order and, extraordinarily, it continues to reveal new physics, with
several novel varieties reported in the past decade.Comment: Book chapter for Elsevier Encyclopedia of Condensed Matter Physic
External gates and transport in biased bilayer graphene
We formulate a theory of transport in graphene bilayers in the weak momentum
scattering regime in such a way as to take into account contributions to the
electrical conductivity to leading and next-to-leading order in the scattering
potential. The response of bilayers to an electric field cannot be regarded as
a sum of terms due to individual layers. Rather, interlayer tunneling and
coherence between positive- and negative-energy states give the main
contributions to the conductivity. At low energies, the dominant effect of
scattering on transport comes from scattering within each energy band, yet a
simple picture encapsulating the role of collisions in a set of scattering
times is not applicable. Coherence between positive- and negative-energy states
gives, as in monolayers, a term in the conductivity which depends on the order
of limits. The application of an external gate, which introduces a gap between
positive- and negative-energy states, does not affect transport. Nevertheless
the solution to the kinetic equation in the presence of such a gate is very
revealing for transport in both bilayers and monolayers.Comment: 6 pages, accepted for publication in Physical Review
Dominance of extrinsic scattering mechanisms in the orbital Hall effect: graphene, transition metal dichalcogenides and topological antiferromagnets
The theory of the orbital Hall effect (OHE), a transverse flow of orbital
angular momentum in response to an electric field, has concentrated
overwhelmingly on intrinsic mechanisms. Here, using a quantum kinetic
formulation, we determine the full OHE in the presence of short-range disorder
using 2D massive Dirac fermions as a prototype. We find that, in doped systems,
extrinsic effects associated with the Fermi surface (skew scattering and side
jump) provide of the OHE. This suggests that, at experimentally
relevant transport densities, the OHE is primarily extrinsic
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