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Exact low-temperature behavior of kagome antiferromagnet at high fields

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arxiv cond-mat/0405578 v2 pith:GBMAI5TK submitted 2004-05-25 cond-mat.stat-mech cond-mat.str-el

M. E. Zhitomirsky , Hirokazu Tsunetsugu This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.str-el
keywords antiferromagnetkagomemodelbehaviorchainmappedmappingpresented
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Low-energy degrees of freedom of a spin-1/2 kagome antiferromagnet in the vicinity of the saturation field are mapped to a hard-hexagon model on a triangular lattice. The latter model is exactly solvable. The presented mapping allows to obtain quantitative description of the magnetothermodynamics of a quantum kagome antiferromagnet up to exponentially small corrections as well as predict the critical behavior for the transition into a magnon crystal state. Analogous mapping is presented for the sawtooth chain, which is mapped onto a model of classical hard dimers on a chain.

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  1. Exact Quantum Many-Body Scars in 2D Quantum Gauge Models

    cond-mat.str-el 2025-05 conditional novelty 7.0 of 10

    Exact many-body scar eigenstates of a 2D XY model are mapped via Kramers-Wannier duality to exact scars of a Z2 lattice gauge theory.

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