Nuclear spin dynamics and noise in anisotropic large box model

TL;DR

This paper analyzes nuclear spin dynamics and noise in an anisotropic large box model, providing analytical solutions for spin precession and noise spectra relevant to organic semiconductors.

Contribution

It introduces exact analytical expressions for nuclear spin behavior in the anisotropic central spin model with external magnetic fields.

Findings

Prediction of nuclear spin precession in zero magnetic field.

Analytical expressions for nuclear spin noise spectra.

Relevance to nuclear spin induced current fluctuations in organic semiconductors.

Abstract

We consider the central spin model in the box approximation taking into account external magnetic field and anisotropy of the hyperfine interaction. From the exact Hamiltonian diagonalization we obtain analytical expressions for the nuclear spin dynamics in the limit of many nuclear spins. We predict the nuclear spin precession in zero magnetic field for the case of anisotropic interaction between electron and nuclear spins. We calculate and describe the nuclear spin noise spectra in the thermodynamic equilibrium. The obtained results can be used for the analysis of the nuclear spin induced current fluctuations in organic semiconductors.