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- W3023113894 abstract "We study the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy. We compute and analyze the fixed-dimension perturbative expansion of the renormalization-group functions to four loops. The relations of these models with N-color Ashkin-Teller models, discrete cubic models, planar model with fourth order anisotropy, and structural phase transition in adsorbed monolayers are discussed. Our results for N=2 (XY model with cubic anisotropy) are compatible with the existence of a line of fixed points joining the Ising and the O(2) fixed points. Along this line the exponent $eta$ has the constant value 1/4, while the exponent $nu$ runs in a continuous and monotonic way from 1 to $infty$ (from Ising to O(2)). For Ngeq 3 we find a cubic fixed point in the region $u, v geq 0$, which is marginally stable or unstable according to the sign of the perturbation. For the physical relevant case of N=3 we find the exponents $eta=0.17(8)$ and $nu=1.3(3)$ at the cubic transition." @default.
- W3023113894 created "2020-05-13" @default.
- W3023113894 creator A5063176198 @default.
- W3023113894 creator A5076249507 @default.
- W3023113894 date "2002-11-11" @default.
- W3023113894 modified "2023-10-14" @default.
- W3023113894 title "Critical behavior of the two-dimensionalN-component Landau-Ginzburg Hamiltonian with cubic anisotropy" @default.
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