Exact diagonalization of Pyrochlores using a symmetry-derived method

The study of quantum magnetics often involves the calculation of large, complex models. Optimized methods with which such calculations can be done are desirable to make research of the quantum properties of materials tenable. In this study, we solve the Hamiltonian for spin-1/2 pyrochlore magnet systems with nearest-neighbour exchange interactions and multiple cell sizes using exact diagonalization. Group theoretical methods used to reduce the complexity of the problem - allowing us to completely block-diagonalize the Hamiltonian for systems of significant size efficiently - will be discussed. The results produced using this method are used to examine quantum entanglement of the system within the four-parameter space of the general model of nearest-neighbour exchange interactions.