Critical behavior of the n-vector model for 1<n<2

Lau, Man-hot ; Dasgupta, Chandan (1987) Critical behavior of the n-vector model for 1<n<2 Physical Review B, 35 (1). pp. 329-332. ISSN 0163-1829

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The Migdal-Kadanoff position-space renormalization-group scheme is used to study the critical behavior of the isotropic n-component-vector model in the previously unexplored region, 1<n<2, 1<d<2, of the n-d plane (d is the dimensionality of the space). We find a continuous phase transition at a finite temperature if d≥dl(n). The lower critical dimension dl(n) increases continuously, but nonlinearly from 1 to 2 as n changes from 1 to 2. For dl(n)≤d<2, the low-temperature phase is characterized by a power-law decay of the two-point correlation function with a temperature-independent exponent.

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ID Code:22846
Deposited On:25 Nov 2010 13:58
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