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A refined Mermin argument for the two-dimensional jellium (1984)

Martinelli, F. ; Merlini, D.

Springer

Journal of statistical physics 34 (1984), S. 313-318

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ISSN: 1572-9613

Keywords: Two-dimensional one-component plasma ; Mermin argument ; crystalline order, fluid

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract We consider the two-dimensional classical jellium with periodic boundary conditions and with translation invariance broken by an external periodic localizing one-body potential. Using a refinement of Mermin's argument, we show that a symmetry breakdown of translation invariance (appearance of a crystalline phase with positional long-range order) does not occur, if the correlation functionh(r) decays faster than 1/r 2 asr→∞.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01770361

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