ISSN:
1572-9613
Keywords:
Coulomb gas
;
Kosterlitz-Thouless phase
;
power-law falloff
;
critical temperature
;
multiscale analysis
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract A simple argument is presented by which one can show that the critical inverse temperatureβ c of a two-dimensional Coulomb gas (standard or hard-core) with activityz satisfies $$\beta _c \leqslant \mathop \beta \limits^ - $$ , where $$\mathop \beta \limits^ - = \mathop \beta \limits^ - (z) \to (1 + \sqrt 3 ) 8\pi /(3 - \sqrt 3 )$$ in the low-activity limit. Previous results yield $$\mathop \beta \limits^ - (z) \to 24\pi $$ .
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01027310
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