Abstract
The one-component Coulomb system with logarithmic potential in a periodic background is considered. In one dimension, when the background has the same period as the average interparticle spacing, the system is exactly solvable for three values of the coupling constant. The exact solution exhibits insulating-conducting phase transitions. An heuristic argument is presented which predicts the phase diagram for this system.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P. W. Anderson, G. Yuval, and D. R. Hamman,Phys. Rev. B 1:4464 (1970).
P. W. Anderson and G. Yuval,J. Phys. C 4:607 (1971).
J. M. Kosterlitz and D. J. Thouless,J. Phys. C 6:1181 (1973).
J. M. Kosterlitz,J. Phys. C 7:1046 (1974).
J. M. Caillol and D. Levesque, Orsay preprint (1985).
B. Jancovici,J. Stat. Phys. 29:263 (1982).
P. J. Forrester, B. Jancovici, and E. R. Smith,J. Stat. Phys. 31:129 (1983).
M. L. Mehta,Random Matrices (Academic, New York, 1967).
Ch. Gruber, J. L. Lebowitz, and Ph. Martin,J. Chem. Phys. 75:944 (1981).
F. D. M. Haldane,Phys. Rev. Lett. 47:1840 (1981).
P. J. Forrester,J. Phys. A 17:2059 (1984).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Forrester, P.J. Charged rods in a periodic background: A solvable model. J Stat Phys 42, 871–894 (1986). https://doi.org/10.1007/BF01010450
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01010450