We review theoretical and experimental highlights in transport in two-dimensional
topological materials over the last five years. Topological materials comprise topological …

One of the intriguing properties characteristic to three-dimensional topological materials is
the topological magnetoelectric phenomena arising from a topological term called the θ …

Electron conductivity is an important material property that can provide a wealth of
information about the underlying system. Especially, the response of the conductivity with …

Three mechanisms are known to contribute to second-order nonlinear current: Extrinsic
nonlinear Drude, Berry curvature dipole, and intrinsic Berry connection polarizability. Here …

Weyl semimetals (WSMs) are gapless topological states of matter with broken inversion
and/or time reversal symmetry. WSMs can support a circulating photocurrent when …

The propagation of light in Weyl semimetal films is analyzed. The magnetic family of these
materials is known by anomalous Hall effect, which, being enhanced by the large Berry …

Berry curvature in Weyl semimetals leads to intriguing magnetoconductivity and
magnetothermal transport properties. Here, we explore the impact of the tilting of the Weyl …

We argue that static nonlinear Hall conductivity can always be represented as a vector in
two dimensions and as a pseudotensor in three dimensions independent of its microscopic …

It is known that intrinsic currents in magnetic metals often appear in the direction
perpendicular to the external field for linear and nonlinear responses. Distinct from three …

The study of the nonlinear anomalous Hall effect (NLAHE) in PT-symmetric systems has
focused on intrinsic mechanisms. Here, we show that disorder contributes substantially to …