Exact diagonalization for spin-1/2 spin ice pyrochlores
Strongly Correlated Electrons
2025-04-14 v2
Abstract
We find exact solutions to the Hamiltonian of a 16-site spin-1/2 pyrochlore crystal with nearest neighbour exchange interactions. The methods of group theory (symmetry) are used to completely block-diagonalize the Hamiltonian, yielding precise details about symmetry of the eigenstates, in particular those components which are {\em spin ice} states, in order to evaluate the spin ice density at finite temperature. At low enough temperatures, a `perturbed' spin ice phase is clearly outlined within the four parameter space of the general model of exchange interactions. The quantum spin ice phase is expected to exist outside these boundaries.
Cite
@article{arxiv.2208.06937,
title = {Exact diagonalization for spin-1/2 spin ice pyrochlores},
author = {C. Wei and S. H. Curnoe},
journal= {arXiv preprint arXiv:2208.06937},
year = {2025}
}