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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