Data di Pubblicazione:
2021
Citazione:
Criticality and conformality in the random dimer model / S. Caracciolo, R. Fabbricatore, M. Gherardi, R. Marino, G. Parisi, G. Sicuro. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 103:4(2021 Apr 16), pp. 042127.042127-1-042127.042127-8.
Abstract:
In critical systems, the effect of a localized perturbation affects points that are arbitrarily far from the perturbation location. In this paper, we study the effect of localized perturbations on the solution of the random dimer problem in two dimensions. By means of an accurate numerical analysis, we show that a local perturbation of the optimal covering induces an excitation whose size is extensive with finite probability. We compute the fractal dimension of the excitations and scaling exponents. In particular, excitations in random dimer problems on nonbipartite lattices have the same statistical properties of domain walls in spin glass. Excitations produced in bipartite lattices, instead, are compatible with a loop-erased self-avoiding random walk process. In both cases, we find evidence of conformal invariance of the excitations that is compatible with SLEκ with parameter κ depending on the bipartiteness of the underlying lattice only.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
S. Caracciolo, R. Fabbricatore, M. Gherardi, R. Marino, G. Parisi, G. Sicuro
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