Abstract:
Ground-state phase diagram of the one-dimensional bond-random S=1 Heisenberg antiferromagnet is investigated by means of the loop-cluster-update quantum Monte-Carlo method. The random couplings are drawn from a rectangular uniform distribution. We found that even in the case of extremely broad bond distribution, the magnetic correlation decays exponentially, and the correlation length is hardly changed; namely, the Haldane phase continues to be realized. This result is accordant with that of the exact-diagonalization study, whereas it might contradict the conclusion of an analytic theory founded in a power-law bond distribution instead. The latter theory predicts that a second-order phase transition occurs at a certain critical randomness, and the correlation length diverges for sufficiently strong randomness.
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Received: 31 March 1998 / Revised and Accepted: 7 July 1998
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Nishiyama, Y. Stability of the Haldane state against the antiferromagnetic-bond randomness. Eur. Phys. J. B 6, 335–340 (1998). https://doi.org/10.1007/s100510050558
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DOI: https://doi.org/10.1007/s100510050558