Quantum spin chains and the Haldane gap
- 15 May 1989
- journal article
- review article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 1 (19) , 3047-3072
- https://doi.org/10.1088/0953-8984/1/19/001
Abstract
One-dimensional antiferromagnets have exotic disordered ground states. As was first argued by Haldane (1983), there is an excitation gap for integer, but not half-integer, spin. The authors review the arguments for this behaviour based on field-theory mappings, the Lieb-Schultz-Mattis theorem, exactly solvable models, finite-chain diagonalisation and real experiments.Keywords
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