Symmetry considerations in exact diagonalization: spin-1/2 pyrochlore magnets

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, the Hamiltonian can be completely block-diagonalized. As an example...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2024-11, Vol.57 (43), p.435301
Main Authors: Wei, C, Curnoe, S H
Format: Article
Language:English
Subjects:
exact diagonalization
spin ice
spin-1/2 pyrochlore magnets
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Summary: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, the Hamiltonian can be completely block-diagonalized. As an example, we consider a spin-1/2 system with nearest-neighbour exchange interactions. We present the energy spectrum of a small system for a range of model parameters in the vicinity of the spin ice phase.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ad7fa7