Surface critical behavior of semi-infinite systems with cubic anisotropy at the ordinary transition

Details Surface critical behavior of semi-infinite systems with cubic anisotropy at the ordinary transition Surface critical behavior of semi-infinite systems with cubic anisotropy at the ordinary transition

2003-12-12

arxiv.org/abs/cond-mat/0312320v1

J.Phys.A: Math.Gen. 37, 7113-7125 (2004)

Physics

Condensed Matter

Soft Condensed Matter

11 pages

Scientific paper

10.1088/0305-4470/37/28/003

The critical behavior at the ordinary transition in semi-infinite n-component anisotropic cubic models is investigated by applying the field theoretic approach in d=3 dimensions up to the two-loop approximation. Numerical estimates of the resulting two-loop series expansions for the critical exponents of the ordinary transition are computed by means of Pade resummation techniques. For $nn_{c}$ the cubic fixed point becomes stable, where $n_{c}<3$ is the marginal spin dimensionality of the cubic model. The obtained results indicate that the surface critical behavior of the semi-infinite systems with cubic anisotropy is characterized by a new set of surface critical exponents for $n>n_{c}$.

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