Non-Markovian spin relaxation in two-dimensional electron gas

TL;DR

This paper investigates non-Markovian spin relaxation in a 2D electron gas, revealing exponential decay with oscillating tails influenced by closed trajectories and additional potentials, supported by analytical and simulation methods.

Contribution

It introduces a comprehensive analytical and Monte Carlo approach to describe non-Markovian spin dynamics in 2DEG under magnetic fields, accounting for complex relaxation tails.

Findings

Spin relaxation exhibits non-Markovian behavior with oscillating tails.

Closed electron trajectories cause long-lived spin relaxation tails.

Additional potentials and inelastic processes further influence relaxation dynamics.

Abstract

We analyze by Monte-Carlo simulations and analytically spin dynamics of two-dimensional electron gas (2DEG) interacting with short-range scatterers in nonquantizing magnetic fields. It is shown that the spin dynamics is non-Markovian with the exponential spin relaxation followed by the oscillating tail due to the electrons residing on the closed trajectories. The tail relaxes on a long time scale due to an additional smooth random potential and inelastic processes. The developed analytical theory and Monte-Carlo simulations are in the quantitative agreement with each other.