Higher moments of spin-spin correlation functions for the ferromagnetic random bond Potts model

Details Higher moments of spin-spin correlation functions for the ferromagnetic random bond Potts model Higher moments of spin-spin correlation functions for the ferromagnetic random bond Potts model

1997-10-29

arxiv.org/abs/cond-mat/9710312v4

Eurphys. Lett. 43(2) pp.189-194 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, LaTeX (needs revtex); typos corrected (alpha->-alpha in final formula)

Scientific paper

10.1209/epl/i1998-00564-y

Using CFT techniques, we compute the disorder-averaged p-th power of the spin-spin correlation function for the ferromagnetic random bonds Potts model. We thus generalize the calculation of Dotsenko, Dotsenko and Picco, where the case p=2 was considered. Perturbative calculations are made up to the second order in epsilon (epsilon being proportional to the central charge deviation of the pure model from the Ising model value). The explicit dependence of the correlation function on $p$ gives an upper bound for the validity of the expansion, which seems to be valid, in the three-states case, only if p<=4.

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