Topological semimetals are three-dimensional topological states of matter, in which the
conduction and valence bands touch at a finite number of points, ie, the Weyl nodes …

The intrinsic spin Hall effect in semiconductors has developed to a remarkably lively and
rapidly growing branch of research in the field of semiconductor spintronics. In this article we …

Weyl semimetals are three-dimensional topological states of matter, in a sense that they host
paired monopoles and antimonopoles of Berry curvature in momentum space, leading to the …

We find that in order to completely describe the spin transport, apart from spin current (or
linear spin current), one has to introduce the angular spin current. The two spin currents …

The anomalous Hall effect has considerable impact on the progress of condensed matter
physics and occurs in systems with time-reversal symmetry breaking. Here we theoretically …

The pursuit of understanding the parity anomaly in condensed matter systems has led to
significant advancements in both theoretical and experimental research in recent years. In …

The edge states in the quantum spin Hall effect are expected to be protected by time
reversal symmetry. The experimental observation of the quantized conductance was …

Helical symmetry of massive Dirac fermions is broken explicitly in the presence of electric
and magnetic fields. Here we present two equations for the divergence of helical and axial …

Materials with inversion asymmetries can exhibit strong spin Hall effect (SHE) in the
presence of Dresselhaus and Rashba spin-orbit coupling (D/R SOC) interactions. Ideally, in …

The magnetoelectric coupling of electrons in a three-dimensional solid can be effectively
described by axion electrodynamics. Here we report the discovery of the fractional …