# Nonexponential spin decay in a quantum kinetic description of the D'yakonov-Perel' mechanism mediated by impurity scattering

## TL;DR

This paper investigates the complex spin decay behavior in quantum wells under impurity scattering, revealing nonexponential decay and the significant impact of spectral broadening on ultrafast optical experiments.

## Contribution

It provides a quantum kinetic analysis showing deviations from traditional analytical models, emphasizing the role of spectral broadening and inhomogeneous dephasing in spin dynamics.

## Key findings

- Spin decay can be nonexponential and dominated by algebraic decay.
- Spectral broadening leads to inhomogeneous dephasing effects.
- Different definitions of spin decay time can yield different results.

## Abstract

The electron spin dynamics in an optically excited narrow quantum well is studied, where the electron spins precess in a k-dependent magnetic field while the electrons scatter at localized impurities. For the resulting spin decay, which is commonly known as the D'yakonov-Perel' mechansim, analytical expressions in the strong- and weak-scattering limits are available. It is found by the numerical solution of quantum kinetic equations in a broad range of parameters that, in situations that are typically relevant for ultrafast optical experiments, the dynamics of the total spin polarization significantly deviates from the pertinent analytical results. This is attributed to the broad spectral width of the optically excited spin-polarized electron distribution, which gives rise to a spin dephasing due to inhomogeneous broadening. Furthermore, it is found that the decay of the spin polarization need not be exponential. The notion of a spin decay time becomes ambiguous and different definitions of spin decay times can lead to different outcomes. The long-term dynamics of the decay of the spin polarization is even dominated by an algebraically decaying component. These findings highlight the importance of the effects of the broad spectral distribution of optically excited carriers in ultrashort magneto-optical experiments.