Disordered Systems and Logarithmic Conformal Field Theory

Details Disordered Systems and Logarithmic Conformal Field Theory Disordered Systems and Logarithmic Conformal Field Theory

2001-11-19

arxiv.org/abs/cond-mat/0111327v2

Int.J.Mod.Phys. A18 (2003) 4703-4746

Physics

Condensed Matter

47 pages, latex, to appear in Int. J. of Mod. Phys. A (2003)

Scientific paper

We review a recent development in theoretical understanding of the quenched averaged correlation functions of disordered systems and the logarithmic conformal field theory (LCFT) in d-dimensions. The logarithmic conformal field theory is the generalization of the conformal field theory when the dilatation operator is not diagonal and has the Jordan form. It is discussed that at the random fixed point the disordered systems such as random-bond Ising model, Polymer chain, etc. are described by LCFT and their correlation functions have logarithmic singularities. As an example we will discuss in detail the application of LCFT to the problem of random-bond Ising model in $ 2 \leq d \leq 4$.

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