Disorder Induced Phases in Higher Spin Antiferromagnetic Heisenberg Chains

Abstract

Extensive DMRG calculations for spin S=1/2 and S=3/2 disordered antiferromagnetic Heisenberg chains show a rather distinct behavior in the two cases. While at sufficiently strong disorder both systems are in a random singlet phase, we show that weak disorder is an irrelevant perturbation for the S=3/2 chain, contrary to what expected from a naive application of the Harris criterion. The observed irrelevance is attributed to the presence of a new correlation length due to enhanced end-to-end correlations. This phenomenon is expected to occur for all half-integer S > 1/2 chains. A possible phase diagram of the chain for generic S is also discussed.

arXiv comment6 Pages and 6 figures. Final version as published

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Cited by in corpus (13)

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• Properties of the random-singlet phase: from the disordered Heisenberg chain to an amorphous valence-bond solid
• Disorder-induced phases in the S=1 antiferromagnetic Heisenberg chain
• Logarithmic delocalization of end spins in the S=3/2 antiferromagnetic Heisenberg chain
• Spin 3/2 dimer model
• Random SU(2)-symmetric spin-$S$ chains
• Schmidt gap in random spin chains
• Randomness-driven quantum phase transition in bond-alternating Haldane chain
• Dynamical properties of the Haldane chain with bond disorder
• Renormalization-group investigation of the S=1 random antiferromagnetic Heisenberg Chain