Negative scaling dimensions and conformal invariance at the Nishimori point in the +/-J random-bond Ising model

Details Negative scaling dimensions and conformal invariance at the Nishimori point in the +/-J random-bond Ising model Negative scaling dimensions and conformal invariance at the Nishimori point in the +/-J random-bond Ising model

2002-01-09

arxiv.org/abs/cond-mat/0201137v2

Phys. Rev. B 66, 054413 (2002)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures, published version in Phys. Rev. B, explanations added, references updated

Scientific paper

10.1103/PhysRevB.66.054413

We reexamine the disorder-dominated multicritical point of the two-dimensional +/-J Ising model, known as the Nishimori point (NP). At the NP we investigate numerically and analytically the behavior of the disorder correlator, familiar from the self-dual description of the pure critical point of the two-dimensional Ising model. We consider the logarithmic average and the q-th moments of this correlator in the ensemble average over randomness, for continuous q in the range 01 and q<0. Using properties on the Nishimori line we show that the first moment (q=1) of the disorder correlator is exactly one for all separations. The spectrum of scaling dimensions at the NP is not parabolic in q.

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