Exact relations among amplitudes at critical points of marginal dimensionality

A. Aharony; B. I. Halperin

doi:10.1103/PhysRevLett.35.1308

Exact relations among amplitudes at critical points of marginal dimensionality

A. Aharony, B. I. Halperin

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Abstract

A renormalization-group analysis of a three-dimensional Ising model with dipolar forces establishes a relation between the specific heat and the correlation length, in the limit t=(T-Tc)Tc→0. Specific-heat data are used to predict ζ∼1.41t-12|lnt|16Å.

Original language	English
Pages (from-to)	1308-1310
Number of pages	3
Journal	Physical Review Letters
Volume	35
Issue number	19
DOIs	https://doi.org/10.1103/PhysRevLett.35.1308
State	Published - 1 Jan 1975
Externally published	Yes

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General Physics and Astronomy

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title = "Exact relations among amplitudes at critical points of marginal dimensionality",

abstract = "A renormalization-group analysis of a three-dimensional Ising model with dipolar forces establishes a relation between the specific heat and the correlation length, in the limit t=(T-Tc)Tc→0. Specific-heat data are used to predict ζ∼1.41t-12|lnt|16{\AA}.",

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AB - A renormalization-group analysis of a three-dimensional Ising model with dipolar forces establishes a relation between the specific heat and the correlation length, in the limit t=(T-Tc)Tc→0. Specific-heat data are used to predict ζ∼1.41t-12|lnt|16Å.

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DO - 10.1103/PhysRevLett.35.1308

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JO - Physical Review Letters

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Exact relations among amplitudes at critical points of marginal dimensionality

Abstract

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