Nonbackscattering contribution to weak localization

Abstract

We show that the enhancement of backscattering responsible for the weak localization is accompanied by reduction of the scattering in other directions.A simple quasiclassical interpretation of this phenomenon is presented in terms of a small change in the effective differential cross-section for a single impurity. The reduction of the scattering at the arbitrary angles leads to the decrease of the quantum correction to the conductivity. Within the diffusion approximation this decrease is small, but it should be taken into account in the case of a relatively strong magnetic field when the diffusion approximation is no more valid.

Slowing down of spin relaxation in two-dimensional systems by quantum interference effects

“…Therefore, the correct treatment of the effect of weak localization on the spin relaxation is only possible when the nonbackscattering coherent processes are taken into account (the role of such effects for particle diffusion was discussed in Ref. 14). It is worth noting that the weak localization effects are usually considered to be due to the coherent backscattering only.…”

“…12,13 These corrections can be derived 13 from the diagrammatic structure of linear-response functions. Diagrammatically, the inclusion of a weak localization correction to the effective collision integral requires the consideration of the irreducible diagrams 13,14 in Fig. 1b,c, in addition to the diagram for the Born scattering, shown in Fig.…”

“…6,7 An alternative approach 12,13,14 is to generalize the Boltzmann equation to include weak localization effects in the kinetic description. This approach may turn out to be more convenient when studying nonlinear and strongly nonequilibrium phenomena.…”

Universal modeling of weak antilocalization corrections in quasi-two-dimensional electron systems using predetermined return orbitals

“…(1) fully equivalent to the most updated Cooperon-based WL-WAL theories beyond the diffusion approximation are (1) the incorporation of the phenomenological phase relaxation, (2) the nonbackscattering correction [31,32], and (3) the incorporation of various one-electron interactions, whose Hamiltonian is H k , including the SOI and Zeeman effect. For doing this, we put the factor x j below in front of cos (2π BS j 2 h/2e ) in Eq.…”

“…Some had deemed this discrepancy a result of many-particle interactions, but such contributions are proven to be negligible [26]. Incremental but steady improvements have kept occurring on the WL-WAL models beyond the diffusion approximation in the subsequent 20 yr [6,23,[27][28][29][30][31][32]. In 2005, Golub worked out the WAL model beyond the diffusion approximation analytically taking into account the Rashba-type SOI [33], which provided reliable solutions for the WAL corrections to MCs ( σ ) as a function of the Rashba parameter α.…”