ISSN:
1572-9613
Keywords:
Coulomb gas
;
Kosterlitz-Thouless phase
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We give a rigorous proof of power-law falloff in the Kosterlitz-Thouless phase of a two-dimensional Coulomb gas in the sense that there exists a critical inverse temperaturegb and a constant Θ〉0 such that for allβ〉β and all external charges ξ∈R we have $$G_\xi (x) \leqslant C/|x|^{\Theta \beta \eta ^2 } $$ , whereG ξ (x) is the two-point external charges correlation function,η=dist(ξ, Z), and $$C = C(\beta , \bar \eta )〈 \infty $$ for $$\bar \eta = dist (\xi , Z - \{ 0\} ) 〉 0$$ . In the case of a hard-core or standard Coulomb gas with activityz, we may chooseβ=β(z) such thatβ(z)→24π asz↘0.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01013671
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