Tunnelling matrix elements with antiferromagnetic Gutzwiller wave functions

TL;DR

This paper develops an analytical method to evaluate tunnelling matrix elements in antiferromagnetic systems using Gutzwiller wave functions, validated by Variational Monte Carlo and potential experimental comparisons.

Contribution

It extends the Gutzwiller Approximation to include antiferromagnetic order and provides a new analytical approach for tunnelling probabilities in such systems.

Findings

Analytical tunnelling probabilities match VMC results.

Method applicable to antiferromagnetic electronic systems.

Potential relevance to experimental tunnelling data.

Abstract

We use a generalized Gutzwiller Approximation (GA) elaborated to evaluate matrix elements with partially projected wave functions and formerly applied to homogeneous systems. In the present paper we consider projected single-particle (hole) excitations for electronic systems with antiferromagnetic (AFM) order and obtain the corresponding tunnelling probabilities. The accuracy and the reliability of our analytical approximation is tested using the Variational Monte Carlo (VMC). Possible comparisons with experimental results are also discussed.