Correlations in two-component log-gas systems

Abstract

A systematic study of the properties of particle and charge correlation functions in the two-dimensional Coulomb gas confined to a one-dimensional domain is undertaken. Two versions of this system are considered: one in which the positive and negative charges are constrained to alternate in sign along the line, and the other where there is no charge ordering constraint. Both systems undergo a zero-density Kosterlitz-Thouless type transition as the dimensionless coupling $\Gamma :=q^2/kT$ is varied through $\Gamma =2$. In the charge ordered system we use a perturbation technique to establish an $O(1/r^4)$ decay of the two-body correlations in the high temperature limit. For $\Gamma \to 2^{+}$, the low-fugacity expansion of the asymptotic charge-charge correlation can be resummed to all orders in the fugacity. The resummation leads to the Kosterlitz renormalization equations.

39 pages, 5 figures not included, Latex, to appear J. Stat. Phys. Shortened version of abstract below

References in corpus (1)

• Classical Coulomb Systems:Screening and Correlations Revisited

Cited by in corpus (2)

• Thermodynamics of two-component log-gases with alternating charges
• Instability of Laughlin FQH liquids into gapless power-law correlated states with continuous exponents in ideal Chern bands: rigorous results from plasma mapping