Modified Extrapolation Length Renormalization Group Equation
Abstract
Description
A modified renormalization group equation for the inverse extrapolation length $c$ is derived by considering the phase shifts of order parameter fluctuations. The resulting non-linear equation is also derived using standard methods and some additional assumptions. The associated renormalized flow $c(l)$ exhibits the correct behavior near both the special and ordinary fixed points and in particular yields a canonical scaling of $c$ with cross-over exponent $ϕ_{\rm ord} = -ν$ near the ordinary transition.
5 pages, REVTEX, submitted to Phys. Rev. Lett
5 pages, REVTEX, submitted to Phys. Rev. Lett