Abstract
We introduce a novel kind of spin liquid, the spin 1 chirality liquid, whichprovides a generic paradigm for a disordered spin 1 antiferromagnet in twodimensions. It supports spinon and holon excitations, which carry a chiralityquantum number. These excitations obey half-fermi statistics. The sign ofthe statistical parameter is determined by the chirality. The spin 1 chiralityliquid is the first example of a two dimensional quantum state which supportsexcitations with fractional statistics but does not violate P or T.
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Greiter, M. S=1 Spin Liquids: Broken Discrete Symmetries Restored. Journal of Low Temperature Physics 126, 1029–1053 (2002). https://doi.org/10.1023/A:1013807011292
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DOI: https://doi.org/10.1023/A:1013807011292