Logrithmic corrections to the RG flow for the two-dimensional bond disordered Ising model

Details Logrithmic corrections to the RG flow for the two-dimensional bond disordered Ising model Logrithmic corrections to the RG flow for the two-dimensional bond disordered Ising model

2000-06-14

arxiv.org/abs/cond-mat/0006233v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures, RevTex

Scientific paper

Using the mapping of the partition function of the two-dimensional Ising model onto a pfaffian we evaluate the domain wall free energy difference for the pure and disordered Ising model close to the pure fixed point. Using this method very large lattices can be studied exactly and we confirm that disorder even including frustrating interactions indeed are irrelevant close to the pure fixed point. The finite-size renormalization group flow shows a power-law behavior modified by a logarithmic term that dominates for small lattice sizes.

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