Random bonds and topological stability in gapped quantum spin chains

R. A. Hyman, Kun Yang, R. N. Bhatt, S. M. Girvin

Research output: Contribution to journalArticlepeer-review

126 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)839-842
Number of pages4
JournalPhysical review letters
Issue number5
StatePublished - 1996

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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