Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-05-23
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 10 figures
Scientific paper
10.1103/PhysRevLett.89.117202
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.
Boechat Beatriz
Continentino Mucio A.
Saguia Andreia
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