Pure and Random-Field Quantum Criticality in the Dipolar Ising Model: Theory of $Mn_{12}$ acetates

TL;DR

This paper develops a theoretical model for $Mn_{12}$ acetates incorporating random field effects, estimates key energy scales, and predicts phase boundaries using mean field theory to guide experimental investigations.

Contribution

It introduces a novel theoretical framework that includes random field effects specific to $Mn_{12}$ acetates, providing new insights into their quantum critical behavior.

Findings

Estimates of energy scales relevant to $Mn_{12}$ acetates.

Determination of phase boundaries using mean field approximation.

Predictions for experimental verification of quantum critical phenomena.

Abstract

A theoretical model for the $Mn_{12}$ acetates is derived including a 'random field' effect arising from isomer effects in some families of host acetate materials. Estimates for the important energy scales are given. Phase boundaries are determined using a mean field approximation. Predictions for experiment are presented