Spin polarization induced by an electric field in the presence of weak localization effects

Abstract

We evaluate the spin polarization (Edelstein or inverse spin galvanic effect) and the spin Hall current induced by an applied electric field by including the weak localization corrections for a two-dimensional electron gas. We show that the weak localization effects yield logarithmic corrections to both the spin polarization conductivity relating the spin polarization and the electric field and to the spin Hall angle relating the spin and charge currents. The renormalization of both the spin polarization conductivity and the spin Hall angle combine to produce a zero correction to the total spin Hall conductivity as required by an exact identity. Suggestions for the experimental observation of the effect are given.

Unified description of spin transport, weak antilocalization, and triplet superconductivity in systems with spin-orbit coupling

“…In the study of weak localization it is customary to stop the Ql expansion of the Cooperon at the second order, as was indeed done in Refs. [73,74]. However, we find that this is justified only in the diffusive limit x α 1.…”

“…More recently, Refs. [73,74] attempted to extend this theory beyond the diffusive limit (x α ∼ 1). However, their results are not correct due to the inadequate Q expansion of the two-particle correlators (Cooperons) that determine the W(A)L, as we can easily check using our method and we discuss in detail in the following.…”

“…) where p = p F (cos θ, sin θ ) is the momentum. Next, we introduce the renormalized current operator [74] as…”

The 4D Dirac Equation in Five Dimensions

“…Equation (4.31) represents the Pauli equation, except for the term 9 ∓iµ σ E Ψ± , describing an interaction between spin and time-independent electric field. Lately, many spin-electric interactions have been studied, both theoretically and experimentally [36][37][38][39][40][41]. However, in contrast to previous work, our spin-interaction term is anti-hermitian, conventionally describing decoherence, decay and resonant scattering induced by electric fields on spin 1/2 particles.…”

A Unified Description of Spin Transport, Weak Antilocalization and Triplet Superconductivity in Systems with Spin-Orbit Coupling

“…In the study of weak localization it is customary to stop the Ql expansion of the Cooperon at the second order, as was indeed done in Refs. 60 and 59 . However, we find that this is justified only in the diffusive limit x α 1.…”