Random Bonds and Topological Stability in Gapped Quantum Spin Chains

Details Random Bonds and Topological Stability in Gapped Quantum Spin Chains Random Bonds and Topological Stability in Gapped Quantum Spin Chains

1995-05-22

arxiv.org/abs/cond-mat/9505095v1

Phys. Rev. Lett. 76, 839 (1996).

Physics

Condensed Matter

RevTex3.0, 12 pages, no figure

Scientific paper

10.1103/PhysRevLett.76.839

We study the effects of random bonds on spin chains that have an excitation gap in the absence of randomness. The dimerized spin-1/2 chain is our principal example. Using an asymptotically exact real space decimation renormalization group procedure, we find that dimerization is a relevant perturbation at the random singlet fixed point. For weak dimerization, the dimerized chain is in a Griffiths phase with short range spin-spin correlations and a divergent susceptibility. The string topological order, however, is not destroyed by bond randomness and dimerization is stabilized by the confinement of topological defects. We conjecture that random integer spin chains in the Haldane phase exhibit similar thermodynamic and topological properties.

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