Hole dynamics in generalized spin backgrounds in infinite dimensions

TL;DR

This paper exactly analyzes the dynamical behavior of a hole in various spin backgrounds in infinite dimensions, providing insights into spin fluctuations and their effects on particle dynamics in complex magnetic systems.

Contribution

It introduces a method to exactly compute hole dynamics in infinite-dimensional spin backgrounds with different configurations, including thermal averages and classical spin states.

Findings

Exact calculation of hole dynamics in infinite dimensions.

Analysis of spin fluctuation effects on particle behavior.

Insights into unpaired particles in strong coupling superconductors.

Abstract

We calculate the dynamical behaviour of a hole in various spin backgrounds in infinite dimensions, where it can be determined exactly. We consider hypercubic lattices with two different types of spin backgrounds. On one hand we study an ensemble of spin configurations with an arbitrary spin probability on each sublattice. This model corresponds to a thermal average over all spin configurations in the presence of staggered or uniform magnetic fields. On the other hand we consider a definite spin state characterized by the angle between the spins on different sublattices, i.e a classical spin system in an external magnetic field. When spin fluctuations are considered, this model describes the physics of unpaired particles in strong coupling superconductors.