Abstract Wannier interpolation is a powerful tool for performing Brillouin zone integrals over dense grids of k points, which are essential to evaluate such quantities as the intrinsic anomalous Hall conductivity or Boltzmann transport coefficients. However, more complex physical problems and materials create harder numerical challenges, computations with existing codes become very expensive, o...

The discovery of Berry curvature (BC) has spurred a tremendous surge research into various quantum phenomena such as the anomalous transport electrons and topological phases matter. In two-dimensional crystalline systems, conventional definition BC lacks in-plane components thus it cannot explain transverse along plane-normal direction. Here, we modify to newly provide in two dimensions, giving...

Abstract Topological magnetic semimetals, like Co 3 Sn 2 S and MnGa, display exotic transport properties, such as large intrinsic anomalous (AHE) due to uncompensated Berry curvature. The highly symmetric X Pt compounds exhibit anti-crossing gapped nodal lines, a driving mechanism in the curvature Hall effects. Uniquely, these contain two sets of lines that harmoniously dominate this complex mu...

Results are presented for Floquet systems in two spatial dimensions where the driving breaks an effective time-reversal symmetry. The protocol also induces flat bands that correspond to anomalous phases Chern number is zero and yet chiral edge modes exist. Analytic expressions modes, Berry curvature, orbital magnetization derived bands. static Haldane model parameters when flat. of same shown g...

Based on DFT + U and Berry curvature calculations, we study the electronic structures and topological properties of 3d transition metal (TM) atom (from Ti to Co) adsorbed germanene (TM-germanene). We find that valley-polarized anomalous Hall effect (VAHE) can be realized in germanene by adsorbing Cr, Mn, or Co atoms on its surface. A finite valley Hall voltage can be easily detected in their na...

We investigate the topological insulating states of the p-band systems in optical lattices induced by the on site orbital angular momentum polarization, which exhibit gapless edge modes in the absence of Landau levels. This effect arises from the energy-level splitting between the on site p_{x}+ip_{y} and p_{x}-ip_{y} orbitals by rotating each optical lattice site around its own center. At larg...

We study the background (equilibrium), linear and nonlinear spin currents in 2D Rashba spin-orbit coupled systems with Zeeman splitting 3D noncentrosymmetric metals using modified current operator by inclusion of anomalous velocity. The Hall arises due to velocity charge carriers induced Berry curvature. occurs band and/or For systems, saturates at high Fermi energy (independent coupling), exhi...

Following recent interest in a kinetic description of the semiclassical Bloch electron dynamics, we propose a new formulation based on the previously developed Lie-Poisson formulation of dynamics. It includes modifications required to account for the Berry curvature contribution to the electron's equation of motion as well as essential ingredients of a quantum treatment of spin- 1/2 degrees of ...

We determine the effective total spin J of local moments formed from acceptor states bound to Mn ions in GaAs by evaluating their magnetic Chern numbers. When individual Mn atoms are close to the sample surface, the total spin changes from J=1 to J=2, due to quenching of the acceptor orbital moment. For Mn pairs in bulk, the total J depends on pair orientation in the GaAs lattice and on the sep...