English

Disordered Systems and Logarithmic Conformal Field Theory

Condensed Matter 2014-10-13 v2 High Energy Physics - Theory

Abstract

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 2d4 2 \leq d \leq 4.

Keywords

Cite

@article{arxiv.cond-mat/0111327,
  title  = {Disordered Systems and Logarithmic Conformal Field Theory},
  author = {M. Reza Rahimi Tabar},
  journal= {arXiv preprint arXiv:cond-mat/0111327},
  year   = {2014}
}

Comments

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