Criticality of the Anisotropic Quantum Heisenberg Model on a Self-Dual Hierarchical Lattice
- 18 July 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 51 (3) , 145-147
- https://doi.org/10.1103/physrevlett.51.145
Abstract
Within a real-space renormalization-group framework, the spin-½ Heisenberg ferromagnet in the presence of an Ising-like anisotropy on a self-dual hierarchical lattice is discussed. The results are exact for this lattice but can also be considered as a quite satisfactory approximation for the simple square one. The controversial point on how vanishes in the isotropic Heisenberg limit is analyzed: Quite strong evidence is presented favoring a continuous function of anisotropy. The crossover from the isotropic Heisenberg model to the pure Ising one is exhibited.
Keywords
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