Phase diagram of the random Heisenberg antiferromagnetic spin-1 chain

Abstract

We present a new perturbative real space renormalization group (RG) to study random quantum spin chains and other one-dimensional disordered quantum systems. The method overcomes problems of the original approach which fails for quantum random chains with spins larger than S=1/2. Since it works even for weak disorder we are able to obtain the zero temperature phase diagram of the random antiferromagnetic Heisenberg spin-1 chain as a function of disorder. We find a random singlet phase for strong disorder and as disorder decreases, the system shows a crossover from a Griffiths to a disordered Haldane phase.

4 pages, 10 figures

References in corpus (4)

• Exact renormalization of the random transverse-field Ising spin chain in the strongly ordered and strongly disordered Griffiths phases
• Disorder induced cross-over effects at quantum critical points
• Strongly disordered spin ladders
• Breakdown of the perturbative renormalization group for S >= 1 random antiferromagnetic spin chains

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