RG and logarithmic CFT multicritical properties of randomly diluted Ising models

Abstract

We discuss how a spin system, which is subject to quenched disorder, might exhibit multicritical behaviors at criticality if the distribution of the impurities is arbitrary. In order to provide realistic candidates for such multicritical behaviors, we discuss several generalizations of the standard randomly diluted Ising's universality class adopting the $\epsilon$-expansion close to several upper critical dimensions. In the presentation, we spend a special effort in bridging between CFT and RG results and discuss in detail the computation of quantities, which are of prominent interest in the case of logarithmic CFT.

References in corpus (7)

• Exact evolution equation for the effective potential
• xPerm: fast index canonicalization for tensor computer algebra
• Critical behavior of the PT-symmetric $i{\varphi }^3$ quantum field theory
• New universality class in three dimensions: The critical Blume-Capel model
• Platonic Field Theories
• Multi-critical multi-field models: a CFT approach to the leading order
• RG and logarithmic CFT multicritical properties of randomly diluted Ising models

Cited by in corpus (2)

• Crossover exponents, fractal dimensions and logarithms in Landau-Potts field theories
• RG and logarithmic CFT multicritical properties of randomly diluted Ising models