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Phys. Rev. Lett. 76, 839–842 (1996)

Random Bonds and Topological Stability in Gapped Quantum Spin Chains

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R. A. Hyman1, Kun Yang2, R. N. Bhatt2, and S. M. Girvin1
1Physics Department, Indiana University, Bloomington, Indiana 47405
2Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544

Received 22 May 1995; published in the issue dated 29 January 1996

Using an asymptotically exact real space renormalization procedure, we find that the dimerized spin-1/2 chain is extremely stable against bond randomness. For weak dimerization or, equivalently, strong randomness, it is in a Griffiths phase with short-range spin-spin correlations and a divergent susceptibility. The string topological order persists. We conjecture that random integer spin chains in the Haldane phase exhibit similar thermodynamic and topological properties.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.76.839
DOI:
10.1103/PhysRevLett.76.839
PACS:
75.10.Jm, 75.30.Hx, 75.50.Ee