Long-Time Spin Relaxation in Zero-Field

Abstract

The long-time tail of the Kubo-Toyabe relaxation function of spin polarization in zero-field is examined by a variational method and a numerical simulation. The asymptotic exponential decay was found to be of the form, 0.2362 exp (−1.562νt), where ν is the decay constant of the perturbing Gaussian random field. This decay constant is shown to be determined by the lowest eigenvalue of a confluent hypergeometric differential equation.