Abstract
We consider a lattice model which corresponds to the high temperature expansions of disordered Ising and Heisenberg models and to the deeply localized regime of the disordered Anderson model. The spin correlation functions for the Ising and Heisenberg model and the amplitude of electron tunneling for the Anderson model exhibit a “sign phase transition.” At small concentration x of scatterers with a negative scattering amplitude these quantities have predictable signs while at large x their signs are unpredictable.
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References
V. L. Nguen, B. Z. Spivak, and B. I. Shklovskii, JETP Lett. 41, 43 (1985); Zh. Éksp. Teor. Fiz. 89, 1770 (1985) [Sov. Phys. JETP 62, 1021 (1985)].
V. L. Nguen, B. Z. Spivak, and B. I. Shklovskii, in Hopping Transport in Solids, Ed. P. Shklovskii, North-Holland, Amsterdam, 1991.
P. de Gennes, Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca, New York, 1979.
M. Kardar, Lectures on Directed Paths in Random Media, Les Houches Summer School, August, 1994.
D. A. Huse and C. L. Henley, Phys. Rev. Lett. 54 2708 (1985).
D. A. Huse, C. L. Henley, and A. D. Fisher, Phys. Rev. Lett. 55, 2924 (1985).
M. Kardar and Y. C. Zang, Phys. Rev. Lett. 58, 2087 (1987).
Yi-Cheng Zang, Europhys. Lett. 9, 113 (1989).
D. S. Fisher and D. A. Huse, Phys. Rev. B 38, 373 (1988); B 38, 386 (1988).
D. S. Fisher, in Phase Transitions and Relaxation in Systems with Competing Energy Scales, Eds. T. Riste, D. Sherington, Kluwer, Boston, 1993.
E. Medina, M. Kardar, Y. Shapir, and X. R. Wang, Phys. Rev. Lett. 64, 1816 (1990).
Y. Shapir and X. R. Wang, Europhys. Lett. 4, 10 (1987).
H. L. Zhao, B. Spivak, M. Gelfand, S. Feng, Phys. Rev. B 44, 10760 (1991).
B. Kagan and B. Spivak, Fiz. Tverd. Tela (Leningrad) 31(3), 293 (1989) [Sov. Phys. Solid State 31, 518 (1989)].
K. Binder and R. P. Yang, Rev. Mod. Phys. 58, 801 (1986).
W. Feller, An Introduction to Probability Theory and its Applications, Wiley, New York, 1971.
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Pis’ma Zh. Éksp. Teor. Fiz. 64, No. 4, 283–288 (25 August 1996)
Published in English in the original Russian Journal. Edited by J. R. Anderson.