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Physics of Low-Dimensional Systems

Hidden Topological Order in Integer Quantum Spin Chains

S. M. Girvin, Daniel P. Arovas

Published Jul 1, 1989• 1 citation
Publisher
DOI
10.1142/9789814541152_0027

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Using an idea of Rommelse and den Nijs, we have investigated a direct analogy between the topological order in integer quantum antiferromagnets and the topological order in the fractional quantum Hall effect (FQHE). Numerical results are presented for the S = 1 generalized Heisenberg chain. The analogy between the Laughlin gap in the FQHE and the Haldane gap in integer spin chains is discussed.

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