Phases of random antiferromagnetic spin-1 chains

Details Phases of random antiferromagnetic spin-1 chains Phases of random antiferromagnetic spin-1 chains

1997-12-15

arxiv.org/abs/cond-mat/9712172v1

Phys. Rev. B, 58, 805-815 (1998).

Physics

Condensed Matter

Strongly Correlated Electrons

29 pages, 12 encapsulated Postscript figures, REVTeX 3.0

Scientific paper

10.1103/PhysRevB.58.805

We formulate a real-space renormalization scheme that allows the study of the effects of bond randomness in the Heisenberg antiferromagnetic spin-1 chain. There are four types of bonds that appear during the renormalization flow. We implement numerically the decimation procedure. We give a detailed study of the probability distributions of all these bonds in the phases that occur when the strength of the disorder is varied. Approximate flow equations are obtained in the weak-disorder regime as well as in the strong disorder case where the physics is that of the random singlet phase.

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