Quantum spin liquids: a large-S route
arXiv:cond-mat/0308091 · doi:10.1088/0953-8984/16/11/019
Abstract
This paper explores the large-S route to quantum disorder in the Heisenberg antiferromagnet on the pyrochlore lattice and its homologues in lower dimensions. It is shown that zero-point fluctuations of spins shape up a valence-bond solid at low temperatures for one two-dimensional lattice and a liquid with very short-range valence-bond correlations for another. A one-dimensional model demonstrates potential significance of quantum interference effects (as in Haldane's gap): the quantum melting of a valence-bond order yields different valence-bond liquids for integer and half-integer values of S.
Proceedings of Highly Frustrated Magnetism 2003 (Grenoble), 6 LaTeX pages
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Cited by in corpus (10)
- Dimensional reduction in superconducting arrays and frustrated magnets
- Monopole Flux State on the Pyrochlore Lattice
- Order by disorder and gauge-like degeneracy in quantum pyrochlore antiferromagnet
- Semiclassical degeneracies and ordering for highly frustrated magnets in a field
- Semiclassical spin liquid state of easy axis Kagome antiferromagnets
- Antiferromagnetic spin-frustrated layers of corner-sharing Cu4 tetrahedra on the kagome lattice in volcanic minerals Cu5O2(VO4)2(CuCl), NaCu5O2(SeO3)2Cl3, and K2Cu5Cl8(OH)4 2H2O
- Effective Hamiltonians for large-S pyrochlore antiferromagnet
- Semiclassical ordering in the large-N pyrochlore antiferromagnet
- Geometric criticality between plaquette phases in integer-spin kagome XXZ antiferromagnets
- Crystal chemistry criteria of the existence of spin liquids on the kagome lattice