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Beyond the freshman's dream: Classical fractal spin liquids from matrix cellular automata in three-dimensional lattice models

Abstract:

We construct models hosting classical fractal spin liquids on two realistic three-dimensional (3D) lattices of corner-sharing triangles: trillium and hyperhyperkagome (HHK). Both models involve the same form of three-spin Ising interactions on triangular plaquettes as the Newman-Moore (NM) model on the 2D triangular lattice. However, in contrast to the NM model and its 3D generalizations, their degenerate ground states and low-lying excitations cannot be described in terms of scalar cellular ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevB.105.224410

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Hertford College
Role:
Author
ORCID:
0000-0002-5055-5528
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review B Journal website
Volume:
105
Issue:
22
Article number:
224410
Publication date:
2022-06-21
Acceptance date:
2022-06-01
DOI:
EISSN:
2469-9969
ISSN:
2469-9950
Language:
English
Keywords:
Pubs id:
1195610
Local pid:
pubs:1195610
Deposit date:
2022-06-16

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