Prog. Theor. Phys. Vol. 63 No. 2 (1980) pp. 402-414
Properties of a Two-Dimensional Classical Coulomb Gas
Department of Physics, Kyoto University, Kyoto 606
(Received September 14, 1979)
We study a two-dimensional classical Coulomb gas by means of the graphic expansion for a small fugacity z (≡e-βµ≪1). We introduce fictitious screening length l in the interaction which we let infinite at the end, and examine the effective interaction potential G(r), especially the effective screening constant ξ, in this limit. Our method is valid both below and above Tc and gives the differential equations similar to Kosterlitz renormalization group equations, which have not only the low temperature but also the high temperature fixed points. Using thus obtained G(r), we also study the behaviors of the charge-density correlation function ρ(r) and the particle density n.
DOI : 10.1143/PTP.63.402
J. M. Kosterlitz and D. J. Thouless, J. of Phys. C 6 (1973), 1181[IoP STACKS].
J. M. Kosterlitz, J. of Phys. C 7 (1974), 1046[IoP STACKS].
- J. Villain, J. de Phys. 36 (1975), 581.
J. V. José, L. P. Kadanoff, S. Kirkpatrick and D. R. Nelson, Phys. Rev. B 16 (1977), 1217[APS].
P. Minnhagen, A. Rosengren and G. Grinstein, Phys. Rev. B 18 (1978), 1356[APS].
- J. Zittartz, Z. Phys. B 31 (1978), 63; ibid. 31 (1978), 79; ibid. 31 (1978), 89.
D. R. Nelson and J. M. Kosterlitz, Phys. Rev. Lett. 39 (1977), 1201[APS].
D. J. Bishop and J. D. Reppy, Phys. Rev. Lett. 40 (1978), 1727[APS].
- A. A. Abrikosov, L. P. Gor'kov and I. E. Dzyaloshinski, Quantum Field Theoretical Methods in Statistical Physics (Pergamon Press, Oxford, 1965).
- H. U. Everts and W. Koch, Z. Phys. B 28 (1977), 117.
- D. J. Amit, Y. Y. Goldschmidt and G. Grinstein, preprint.
Citing Article(s) :
Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1246-1263
Two-Dimensional Classical XY Model with Symmetry-Breaking Fields
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Progress of Theoretical Physics Vol. 68 No. 1 (1982) pp. 19-28
A Self-Consistent Treatment of the Kosterlitz-Thouless Transition of the Two-Dimensional Classical Sine-Gordon Model
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