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 …

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 anomalous Hall effect is a fundamental transport process in solids arising from the spin-
orbit coupling. In a quantum anomalous Hall insulator, spontaneous magnetic moments and …

Thermoelectric generation is an essential function in future energy-saving technologies,.
However, it has so far been an exclusive feature of electric conductors, a situation which …

Spintronics encompasses the ever-evolving field of magnetic electronics. It is an applied
discipline that is so forward-looking that much of the research that supports it is at the center …

The field of semiconductor spintronics explores spin-related quantum relativistic phenomena
in solid-state systems. Spin transistors and spin Hall effects have been two separate leading …

In the linear response regime close to equilibrium, the fluctuation-dissipation theorem
relates linear transport coefficients via the well-known Green–Kubo or Einstein relation. The …

The present review analyses and compares various types of dissipationless spin
transport:(1) Superfluid transport, when the spin-current state is a metastable state (a local …

In this short review I survey the theory of the spin Hall effect in doped semiconductors and
metals in the light of recent experiments on both kinds of materials. After a brief introduction …

In the spin Hall effect, a current passed through a spin–orbit coupled electron gas induces a
spin accumulation of inverse sign on either side of the sample. A number of possible …