Abstract
The concept of frustration is investigated following an idea of Anderson. A simple, frustrated in Anderson's sense, nonrandom classical lattice spin system without competing interactions is discussed, which exhibits infinitely many equilibrium states at low temperature. The overlap distribution function is calculated exactly to be a delta function at zero.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
K. Binder and A. P. Young,Rev. Mod. Phys. 58:801 (1986).
G. Toulouse,Commun. Phys. 2:115 (1977).
P. W. Anderson,J. Less-Common Metals 62:291 (1978).
R. Liebmann,Statistical Mechanics of Periodic Frustrated Ising Systems (Springer, Berlin, 1986).
W. Holsztynski and J. Slawny,Commun. Math. Phys. 61:177 (1978).
J. Slawny, Low temperature properties of classical lattice systems: Phase transitions and phase diagrams, inPhase Transitions and Critical Phenomena, Vol. 11, C. Domb and J. L. Lebowitz, eds. (Academic Press, New York, 1987).
M. E. Fisher and W. Selke,Phil. Trans. R. Soc. 302:1 (1981).
J. Slawny,Commun. Math. Phys. 35:297 (1974).
W. Holsztynski and J. Slawny,Commun. Math. Phys. 66:147 (1979).
J. Slawny, Ferromagnetic systems with local symmetries, unpublished (1979).
J. Miekisz,Commun. Math. Phys. 109:353 (1987).
J. Miekisz,J. Phys. A: Math. Gen. 21:1679 (1988).
G. Parisi,Phys. Rev. Lett. 43:1946 (1983).
J. Slawny, Private communication (1988).
D. A. Huse and D. S. Fisher,J. Phys. A: Math. Gen. 20:L997 (1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Miekisz, J. Frustration without competing interactions. J Stat Phys 55, 351–355 (1989). https://doi.org/10.1007/BF01042605
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01042605