Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-09-08
Phys.Lett.B671:291-297,2009
Physics
Condensed Matter
Statistical Mechanics
18 pages, 1 figure
Scientific paper
10.1016/j.physletb.2008.11.066
The distribution of the Fisher zeros in the Kallen-Lehmann approach to three-dimensional Ising model is studied. It is argued that the presence of a non-trivial angle (a cusp) in the distribution of zeros in the complex temperatures plane near the physical singularity is realized through a strong breaking of the 2D Ising self-duality. Remarkably, the realization of the cusp in the Fisher distribution ultimately leads to an improvement of the results of the Kallen-Lehmann ansatz. In fact, excellent agreement with Monte Carlo predictions both at high and at low temperatures is observed. Besides, agreement between both approaches is found for the predictions of the critical exponent alpha and of the universal amplitude ratio Delta = A_+/A_-, within the 3.5% and 7% of the Monte Carlo predictions, respectively.
Astorino Marco
Canfora Fabrizio
Giribet Gastón
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