SO($N$) singlet-projection model on the pyrochlore lattice

Matthew S. Block; Jared Sutton

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arXiv · 2406.02926

SO($N$) singlet-projection model on the pyrochlore lattice

Matthew S. Block·Jared Sutton

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Abstract

We present an extensive quantum Monte Carlo study of a nearest-neighbor, singlet-projection model on the pyrochlore lattice that exhibits SO($N$) symmetry and is sign-problem-free. We find that in contrast to the previously studied two-dimensional variations of this model that harbor critical points between their ground state phases, the non-bipartite pyrochlore lattice in three spatial dimensions appears to exhibit a first-order transition between a magnetically-ordered phase and some, as yet uncharacterized, paramagnetic phase. We also observe that the magnetically-ordered phase survives to a relatively large value of $N=8$, and that it is gone for $N=9$.

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Matthew S. Block, Jared Sutton. 2024-06-05. SO($N$) singlet-projection model on the pyrochlore lattice. https://arxiv.org/abs/2406.02926

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