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The Classical Heisenberg Model on the Centred Pyrochlore Lattice

by Rajah P. Nutakki, Ludovic D. C. Jaubert, Lode Pollet

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Submission summary

Authors (as registered SciPost users): Rajah Nutakki
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-05-30
Date submitted: 2023-05-23 09:53
Submitted by: Nutakki, Rajah
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approaches: Theoretical, Computational


The centred pyrochlore lattice is a novel geometrically frustrated lattice, realized in the metal-organic framework Mn(ta)$_2$ (arXiv:2203.08780) where the basic unit of spins is a five site centred tetrahedron. Here, we present an in-depth theoretical study of the $J_1-J_2$ classical Heisenberg model on this lattice, using a combination of mean-field analytical methods and Monte Carlo simulations. We find a rich phase diagram with low temperature states exhibiting ferrimagnetic order, partial ordering, and a highly degenerate spin liquid with distinct regimes of low temperature correlations. We discuss in detail how the regime displaying broadened pinch points in its spin structure factor is consistent with an effective description in terms of a fluid of interacting charges. We also show how this picture holds in two dimensions on the analogous centred kagome lattice and elucidate the connection to the physics of thin films in ($d+1$) dimensions. Furthermore, we show that a Coulomb phase can be stabilized on the centred pyrochlore lattice by the addition of further neighbour couplings. This demonstrates the centred pyrochlore lattice is an experimentally relevant geometry which naturally hosts emergent gauge fields in the presence of charges at low energies.

Author comments upon resubmission

Thank you to the referees for their careful reading of our manuscript and detailed reports, we appreciate the time and effort involved.

We have revised the manuscript to address the comments of the second referee.

List of changes

- Changed the caption of fig. 2 to make the colour convention clear.
- Added explanation that the connectivity matrix is only valid for eta > 1/4 in section 4.3.2
- Moved the definition of the ferrimagnetic order parameter from the appendix to the beginning of section 5.

Published as SciPost Phys. 15, 040 (2023)

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