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arXiv · 2208.06937

Exact diagonalization for spin-1/2 spin ice pyrochlores

C. Wei·S. H. Curnoe
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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.

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C. Wei, S. H. Curnoe. 2022-08-14. Exact diagonalization for spin-1/2 spin ice pyrochlores. https://doi.org/10.1088/1361-648x%2Facccc8

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