2006
DOI: 10.1134/s106378340609023x
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Finite interaction range spin glass in the Ising model

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Cited by 13 publications
(6 citation statements)
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“…Similar equations for the Ising model with a ¼ g ¼ 0 have been obtained in Ref. 16 within the random field theory without invoking the ideas of hierarchical SG structure and the method of replicas. Thus, we can assume that Eq.…”
Section: Modelsupporting
confidence: 58%
See 1 more Smart Citation
“…Similar equations for the Ising model with a ¼ g ¼ 0 have been obtained in Ref. 16 within the random field theory without invoking the ideas of hierarchical SG structure and the method of replicas. Thus, we can assume that Eq.…”
Section: Modelsupporting
confidence: 58%
“…(8). 16 These solutions, corresponding to the extrema of the free energy, actually lie not at the energy minimum, but at the saddle point (Fig. 8).…”
Section: Modelmentioning
confidence: 95%
“…ISSN: 2581-5164 Available online at Journals.aijr.org In the entire studied temperature range, there is divergence of the FC and ZFC curves, the temperature hysteresis. The appearance of hysteresis can be caused by a number of factors: the existence of a spin glass state (below the merging temperature of the FC and ZFC curves) [41]; states with blocking of the magnetic moment of nanoparticles (below the merging temperature of the FC and ZFC curves) [42]; the state of a super spin glass (micro spin glass) [43], and in the general case -the presence of a metastable state which is formed in the external magnetic field during the interaction of magnetic moments. In the considered case of sample 1, the divergence of the FC and ZFC curves manifests itself in the entire range of the studied temperatures from 4 K to 300 K. It can be assumed that states with blocking of the magnetic moment of nanoparticles or the state of a spin glass are realized in this entire range.…”
Section: Magnetic Properties Of the Samplementioning
confidence: 99%
“…In [9], authors have presented a method to calculate the critical concentration, which one required for a phase transition to ferromagnetism in the crystal lattices with different numbers of nearest neighbors. We have determined the critical concentration of magnetic atoms for the transition to the ferromagnetic state for the monolayer and submonolayer samples of experimental data for which are given in [7,8].…”
Section: The Critical Concentration and Ferromagnetismmentioning
confidence: 99%
“…If p is greater than this random number, then the new configuration is accepted, otherwise it is rejected, and the old configuration remains the initial for a new attempt; 4. In addition to the spin-flip probability shown above, take into account the spinflip probability, calculated using the energy of the field switch, which prevents the reversal (9): p = e − S i hs T (9) and then generate a random number from the interval (0,1); 5. If the probability of revolution greater than this random number, then the MCsteps (1-3) shown above, otherwise do not change the orientation of the spin and move to the next spin.…”
Section: The Critical Concentration and Ferromagnetismmentioning
confidence: 99%