Interfacial approach tod-dimensional �J Ising models in the neighborhood of the ferromagnetic phase boundary

High-temperature expansion study of the Nishimori multicritical point in two and four dimensions

“…Thus from the M2 analysis, the best w c estimate is 0.596 ± 0.008. This implies p c = 0.886 ± 0.003, T c /J = 0.975 ± 0.006, which are consistent with previous estimates [7]. In Figure 2(a) the central slice at w c = 0.596 is shown.…”

“…In certain random-bond Ising models many exact results can be obtained along this special manifold [5]. A Nishimori multicritical point can exist even in the absence of a finite temperature spin-glass transition and has been studied by renormalization group [6] and various numerical methods [7]. By now the existence of the critical point and its location are reasonably well established [7], although to our knowledge no reliable estimates of the critical exponents exist.…”

Random network models and quantum phase transitions in two dimensions

“…The disordered Ising system has been studied using Monte Carlo simulations and the transfer matrix method in the spin basis [223,224,225,226,227,228,229,230,231].…”

Numerical study of competing spin-glass and ferromagnetic order

“…He found at small temperatures only two phases: ferromagnetic and paramagnetic. However, some later studies [12], [13] have found a finite temperature transition to a "random antiphase state", which has similar properties to a spin glass. Therefore more study of the subject is desirable.…”

“…The value of r 2d c is in agreement with the result of McMillan [7], who extrapolated his finite-temperature DWRG data to T = 0 and got r 2d c ∼ = 1.04. In a study of a related two-dimensional Ising model [12], [13] with a bimodal distribution P (J ij ) = pδ(J ij − 1) + (1 − p)δ(J ij + 1) it was suggested that J 0 (L) and J(L) scale as…”