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Smooth phase in the one-dimensional discrete Gaussian model with 1/(−j)2 interaction at inverse temperature β〉1 (1992)

Marchetti, Domingos H. U.

Springer

Journal of statistical physics 66 (1992), S. 1319-1342

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ISSN: 1572-9613

Keywords: Smooth phase ; critical temperature ; multiscale analysis ; Peierls expansion

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract We consider the one-dimensional discrete Gaussian model with interaction energyg satisfyingg(i, j)=g(i−j)∼1/(i− j)2 and prove that for the inverse temperatureβ〉1 this system displays a smooth phase characterized by 〈(n n 0 −n y 0)2〉⩽ C 〈 ∞ if the nearest neighbor coupling g(1) is sufficiently large. Our method also allows us to treat the 1/(i− j)2 Ising model and reproves the existence of spontaneous magnetization under the above conditions.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01054424

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