Chiral spin states in the pyrochlore Heisenberg magnet: Fermionic mean-field theory and variational Monte Carlo calculations

TL;DR

This paper investigates the ground states of the pyrochlore Heisenberg model using fermionic mean-field theory and variational Monte Carlo, identifying chiral spin states as the most stable configurations with detailed properties analyzed.

Contribution

It introduces a combined fermionic mean-field and variational Monte Carlo approach to identify and analyze chiral spin states in the pyrochlore Heisenberg model, highlighting their stability.

Findings

Chiral spin states with pi/2 flux are most stable.

Properties of spin correlations and chirality are characterized.

Mean-field band structures are analyzed.

Abstract

Fermionic mean-field theory and variational Monte Carlo calculations are employed to shed light on the possible uniform ground states of the Heisenberg model on the pyrochlore lattice. Among the various flux configurations, we find the chiral spin states carrying \pm pi/2 flux through each triangular face to be the most stable both within the mean-field theory and the projected wave-function studies. Properties of the spin-spin correlation function and the chirality order parameter are calculated for the projected wave functions. Mean-field band structures are examined.