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

Z. Usatenko·J. Spalek
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Abstract

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 $n n_{c}$ 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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Z. Usatenko, J. Spalek. 2003-12-12. Surface critical behavior of semi-infinite systems with cubic anisotropy at the ordinary transition. https://doi.org/10.1088/0305-4470%2F37%2F28%2F003

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