Symmetry considerations in exact diagonalization: spin-1/2 pyrochlore magnets
Strongly Correlated Electrons
2025-04-14 v1
Abstract
We describe how the methods of group theory (symmetry) are used to optimize the problem of exact diagonalization of a quantum system on a 16-site pyrochlore lattice. By analytically constructing a complete set of symmetrized states, we completely block-diagonalize the Hamiltonian. As an example, we consider a spin-1/2 system with nearest neighbour exchange interactions.
Keywords
Cite
@article{arxiv.2309.10670,
title = {Symmetry considerations in exact diagonalization: spin-1/2 pyrochlore magnets},
author = {C. Wei and S. H. Curnoe},
journal= {arXiv preprint arXiv:2309.10670},
year = {2025}
}