Criticality of the D=2 bond-dilute anisotropic Heisenberg ferromagnet
Ananias M. Mariz, Constantino Tsallis, A. O. Caride
The authors discuss the critical frontier and critical exponents associated with the quenched bond-dilute quantum anisotropic spin- 1 / 2 Heisenberg ferromagnet in square lattice. To perform the calculations, they extend (and analyse in some detail) an approximate real-space renormalisation group framework recently developed by some of the authors for the pure model. Whenever comparison with available exact results is possible, the agreement is either perfect or quite satisfactory. Some effort has been dedicated to the extraction of the main asymptotic behaviour of the critical frontier. Also several interesting quantum effects appearing in the composition laws of (Heisenberg) bond arrays are exhibited.
Journal of Physics C Solid State Physics•Jul 30, 1985•28 citations