RENORMALIZATION-GROUP INVESTIGATION OF THES = 1RANDOM ANTIFERROMAGNETIC HEISENBERG CHAIN

Péter Lajkó ()
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Péter Lajkó: Department of Physics, Kuwait University, Kuwait City, Safat 13060, P. O. Box 5969, Kuwait

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 12, 1739-1753

Abstract: We introduce variants of the Ma-Dasgupta renormalization-group (RG) approach for random quantum spin chains, in which the energy-scale is reduced by decimation built on either perturbative or non-perturbative principles. In one non-perturbative version of the method, we require the exact invariance of the lowest gaps, while in a second class of perturbative Ma-Dasgupta techniques, different decimation rules are utilized. For theS = 1random antiferromagnetic Heisenberg chain, both type of methods provide the same type of disorder dependent phase diagram, which is in agreement with density-matrix renormalization-group calculations and previous studies.

Keywords: Random Heisenberg chain; strong disorder renormalization; random singlet phase; quantum Griffiths phase; 05.50.+q; 64.60.Ak; 68.35.Rh (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0129183106010169

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