Randomness-driven quantum phase transition in bond-alternating Haldane chain

Takayuki Arakawa; Synge Todo; Hajime Takayama

doi:10.1143/jpsj.74.1127

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Randomness-driven quantum phase transition in bond-alternating Haldane chain

Takayuki Arakawa·Synge Todo·Hajime Takayama

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Abstract

The effect of bond randomness on the spin-gapped ground state of the spin-1 bond-alternating antiferromagnetic Heisenberg chain is discussed. By using the loop cluster quantum Monte Carlo method, we investigate the stability of topological order in terms of the recently proposed twist order parameter [M. Nakamura and S. Todo: Phys. Rev. Lett. 89 (2002) 077204]. It is observed that the dimer phases as well as the Haldane phase of the spin-1 Heisenberg chain are robust against a weak randomness, though the valence-bond-solid-like topological order in the latter phase is destroyed by introducing a disorder stronger than the critical value.

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Takayuki Arakawa, Synge Todo, Hajime Takayama. 2005-02-07. Randomness-driven quantum phase transition in bond-alternating Haldane chain. https://doi.org/10.1143/jpsj.74.1127

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