Critical behavior of the Ising model with four-spin coupling
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Cited by (34)
Frustration in an exactly solvable mixed-spin Ising model with bilinear and three-site four-spin interactions on a decorated square lattice
2016, Journal of Magnetism and Magnetic MaterialsCitation Excerpt :The investigation of multi-spin interactions has been initiated several decades ago in order to clarify their influence on phase transitions and magnetic properties in various physical systems. In order to investigate basic aspects of multi-spin interactions the authors have utilized various theoretical methods including exact calculations [1–15], series expansions [16–18], renormalization-group techniques [19–22], Monte Carlo simulations [23–26], mean-field and effective-field theory [27–30]. The main aim of this work is to extend our recent research in this field in order to investigate in detail the role of so-called three-site four-spin interactions in crystalline systems with localized magnetic moments.
Monte Carlo investigation of the mixed spin Ising model with four-spin interaction and next-nearest neighbor couplings
2015, Superlattices and MicrostructuresCitation Excerpt :For instance, the violation of universality is observed in the two-dimensional square lattice Ising model with nearest-neighbor, next-nearest neighbor, and four spin interactions [5,6]. From the theoretical point of view, the monoatomic Ising models with multispin interactions have been investigated in detail within different methods, such as mean field approximation [7,8], effective field theory [9,10], some more accurate treatments such as series expansion [11,12], renormalization group methods [13], Monte Carlo simulations [14], and also exact calculations [15,16]. Experimentally, an interesting fact for the models with multispin interactions has been reported.
Thermodynamical properties of the mixed spin transverse Ising model with four-spin interactions
2014, Physica A: Statistical Mechanics and its ApplicationsMagnetic properties of a ferromagnetic thin film with four spin interaction: A Monte Carlo simulation study
2013, Journal of Magnetism and Magnetic MaterialsThermodynamical properties of the mixed spin Blume-Capel model with four-spin interactions
2013, Journal of Magnetism and Magnetic MaterialsCitation Excerpt :For instance, they display the nonuniversal critical phenomena [2,3]. From the theoretical point of view, monoatomic Ising models with multispin interactions have been studied within different methods, such as mean field approximation [4,5], effective field theory [6–8], series expansions [9,10], renormalization group methods [11], Monte Carlo simulations [12] and exact calculations [13]. Experimentally, the models with multipsin interactions can be used to describe different physical systems such as classical fluids [14], solid 3He [15], lipid bilayers [16], metamagnets [17] and rare gases [18].
Mixed spin Ising model with four-spin interaction and random crystal field
2012, Physica B: Condensed MatterCitation Excerpt :For instance, they display the nonuniversal critical phenomena [2,3], and deviations from the bloch T3/2 law at low temperatures [4]. Theoretically, monoatomic Ising models, with multispin interactions have been studied within different methods, such as mean field approximation [5,6], effective field theory [7–9], series expansions [10,11], renormalization group methods [12], Monte Carlo simulations [13], and exact calculations [14]. From the experimental point of view, the models with multispin interactions can be used to describe various physical systems such as classical fluids [15], solid 3He [16], lipid bilayers [17], and rare gases [18].