期刊
PHYSICAL REVIEW B
卷 79, 期 17, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.79.174408
关键词
critical points; ferromagnetic-paramagnetic transitions; fractals; Gaussian processes; Ising model; magnetic domain walls; magnetic susceptibility; probability; spin glasses
资金
- Brazilian agencies CNPq [30.6302/2006-3]
- FAPERJ [E26 100.604/2007, E26-110.300/2007]
- CAPES
- Instituto do MilInio de Nanotecnologia-CNPq
We use transfer-matrix and finite-size scaling methods to investigate the location and properties of the multicritical point of two-dimensional Ising spin glasses on square, triangular, and honeycomb lattices with both binary and Gaussian disorder distributions. For square and triangular lattices with binary disorder, the estimated position of the multicritical point is in numerical agreement with recent conjectures regarding its exact location. For the remaining four cases, our results indicate disagreement with the respective versions of the conjecture, though by very small amounts, never exceeding 0.2%. Our results for (i) the correlation-length exponent nu governing the ferroparamagnetic transition, (ii) the critical domain-wall energy amplitude eta, (iii) the conformal anomaly c, (iv) the finite-size susceptibility exponent gamma/nu, and (v) the set of multifractal exponents {eta(k)} associated to the moments of the probability distribution of spin-spin correlation functions at the multicritical point are consistent with universality as regards lattice structure and disorder distribution and in good agreement with existing estimates.
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