Low-energy fixed points of random Heisenberg models

Details Low-energy fixed points of random Heisenberg models Low-energy fixed points of random Heisenberg models

2002-11-19

arxiv.org/abs/cond-mat/0211417v2

Phys. Rev. B 68, 024424 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages RevTeX, eps-figs included, language revised

Scientific paper

10.1103/PhysRevB.68.024424

The effect of quenched disorder on the low-energy and low-temperature properties of various two- and three-dimensional Heisenberg models is studied by a numerical strong disorder renormalization group method. For strong enough disorder we have identified two relevant fixed points, in which the gap exponent, omega, describing the low-energy tail of the gap distribution, P(Delta) ~ Delta^omega is independent of disorder, the strength of couplings and the value of the spin. The dynamical behavior of non-frustrated random antiferromagnetic models is controlled by a singlet-like fixed point, whereas for frustrated models the fixed point corresponds to a large spin formation and the gap exponent is given by omega ~ 0. Another type of universality classes is observed at quantum critical points and in dimerized phases but no infinite randomness behavior is found, in contrast to one-dimensional models.

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