The classical Heisenberg model on the centred pyrochlore lattice Article Swipe
Rajah P. Nutakki
,
Ludovic D. C. Jaubert
,
Lode Pollet
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.21468/scipostphys.15.2.040
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.21468/scipostphys.15.2.040
The centred pyrochlore lattice is a novel geometrically frustrated lattice, realized in the metal-organic framework Mn(ta) _2 [Phys. Rev. Research 5, L022018 (2023)] 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.
Related Topics
Concepts
Physics
Condensed matter physics
Pyrochlore
Lattice (music)
Coulomb
Degenerate energy levels
Phase diagram
Spins
Ferrimagnetism
Heisenberg model
Tetrahedron
Lattice field theory
Theoretical physics
Gauge theory
Quantum mechanics
Phase (matter)
Geometry
Magnetization
Ferromagnetism
Magnetic field
Electron
Mathematics
Acoustics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.21468/scipostphys.15.2.040
- https://scipost.org/10.21468/SciPostPhys.15.2.040/pdf
- OA Status
- diamond
- Cited By
- 5
- References
- 62
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4385293660
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4385293660Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.21468/scipostphys.15.2.040Digital Object Identifier
- Title
-
The classical Heisenberg model on the centred pyrochlore latticeWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
-
2023-08-01Full publication date if available
- Authors
-
Rajah P. Nutakki, Ludovic D. C. Jaubert, Lode PolletList of authors in order
- Landing page
-
https://doi.org/10.21468/scipostphys.15.2.040Publisher landing page
- PDF URL
-
https://scipost.org/10.21468/SciPostPhys.15.2.040/pdfDirect link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
-
https://scipost.org/10.21468/SciPostPhys.15.2.040/pdfDirect OA link when available
- Concepts
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Physics, Condensed matter physics, Pyrochlore, Lattice (music), Coulomb, Degenerate energy levels, Phase diagram, Spins, Ferrimagnetism, Heisenberg model, Tetrahedron, Lattice field theory, Theoretical physics, Gauge theory, Quantum mechanics, Phase (matter), Geometry, Magnetization, Ferromagnetism, Magnetic field, Electron, Mathematics, AcousticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
5Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 2, 2024: 3Per-year citation counts (last 5 years)
- References (count)
-
62Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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