Abstract
We propose a method for approximating the density of partition zeros for real-dimensional spin-glass models. The method uses the complex-temperature data of the ferromagnetic model on the same lattice. We obtain the universality line in the complex-temperature space.
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References
F. J. Dyson,Phys. Rev.,85, 631 (1952).
C. N. Yang and T. D. Lee,Phys. Rev.,87, 404, 410 (1952).
M. E. Fisher, in:Lect. Theor. Phys. (W. E. Brittin, ed.), Vol. 7c, Univ. of Colorado Press, Boulder (1965).
K.-C. Lee,Phys. Rev. Lett.,73, 2801 (1994).
C. Itzykson, R. B. Pearson, and J. B. Zuber,Nucl. Phys. B,220, 415 (1983).
R. B. Griffiths,Phys. Rev. Lett.,23, 17 (1969).
A. E. Allahverdyan, A. S. Ananikian, and S. K. Dallakyan,Phys. Rev. E,57, 2452 (1998).
B. Derrida,Physica A,177, 31 (1991).
C. Moukarzel and N. Parga,Physica A,177, 24 (1991).
B. Derrida, M. R. Evans, and E. R. Speer,J. Stat. Phys.,156, (1993).
B. Derrida,Phys. Rev. Lett.,45, 79 (1980).
B. Derrida,J. Phys. Lett.,46, 401 (1985).
B. Derrida and E. Gardner,J. Phys. C.,19, 5793 (1986).
D. B. Saakian,JETP Letters,67, 440 (1998); Preprint cond-mat/9709238 (1997).
D. B. Saakian, “Random energy model at complex temperatures,” Preprint cond-mat/9905123 (1999).
D. Dominicis and P. Mottishow,J. Phys. A.,20, L267 (1987).
D. B. Saakyan,Theor. Math. Phys.,97, 1199 (1993).
A. E. Allakhverdyan and D. B. Saakian,Nucl. Phys. B,498, 604 (1997).
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 124, No. 3, pp. 520–528, September, 2000.
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Saakian, D.B., Vogel, E.E. Complex-temperatures zeros of the partition function in spin-glass models. Theor Math Phys 124, 1298–1304 (2000). https://doi.org/10.1007/BF02551006
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DOI: https://doi.org/10.1007/BF02551006