Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2004-02-16
J. Phys. Soc. Jpn., Vol. 73, No. 6, June, 2004, pp. 1602-1606
Physics
Condensed Matter
Disordered Systems and Neural Networks
Scientific paper
10.1143/JPSJ.73.1602
We consider S=1/2 antiferromagnetic Heisenberg chains with alternating bonds and quenched disorder, which represents a theoretical model of the compound CuCl_{2x}Br_{2(1-x)}(\gamma-{pic})_2. Using a numerical implementation of the strong disorder renormalization group method we study the low-energy properties of the system as a function of the concentration, x, and the type of correlations in the disorder. For perfect correlation of disorder the system is in the random dimer (Griffiths) phase having a concentration dependent dynamical exponent. For weak or vanishing disorder correlations the system is in the random singlet phase, in which the dynamical exponent is formally infinity. We discuss consequences of our results for the experimentally measured low-temperature susceptibility of CuCl_{2x}Br_{2(1-x)}(\gamma-{pic})_2.
Igloi Ferenc
Lin Yu-Cheng
Rieger Heiko
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