Scaling properties of quantum spin glasses
We review simple renormalization group schemes that could be used in studies of quantum spin glasses and all of them are found not to be satisfactory. The Suzuki- Takano decimation method makes a spin glass behave like a ferromagnet. The truncation method predicts the scaling of the one-dimensional XY quantum glasses to be governed by an exponential and a power law for the Gaussian and bimodal couplings respectively. In the two-dimensional case, systems with both Gaussian and bimodal couplings show paramagnetic behavior even at T = 0. In the bimodal case the results are similar to those obtained for the corresponding classical systems within the Migdal-Kadanoff scheme in the harmonic approximation. Studies of XY spin systems on hierarchical lattices within the truncation approximation indicate a lower critical dimensionality which is smaller than the corresponding value for the classical model.
Year of publication: |
1994
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Authors: | Li, Mai Suan ; Cieplak, Marek |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 207.1994, 4, p. 463-476
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Publisher: |
Elsevier |
Saved in:
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