The antiferromagnetic Ising model for a bilayer Bethe lattice

Albayrak, Erhan; Yigit, Ali; Akkaya, Seyma

doi:10.1016/j.jmmm.2008.04.114

Cited by 11 publications

(4 citation statements)

References 46 publications

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“…Widely explored experiments give us more and more information about magnetic properties of different kinds of material (spin-glass, paramagnetic, ferromagnetic etc.) molecules [2,8,13,17]. The result of experiments based on, e.g., Raman and EDX spectra [6,10,11] are agreed with theoretical analysis what confirm correctness of the models for supplementary investigations also theoretic.…”

Section: Introductionsupporting

confidence: 80%

“…The same formula is used in Ising model but (i,j) refers to pair of adjacent spins [2,7,8,19]. The average values of as well as .…”

Section: Itm Web Of Conferencesmentioning

confidence: 99%

“…Physically we can treat qubit as a spin in magnetic field being superposition of the base states. Two level quantum state (Fig.2) has the form: (2) where e if -phase coefficient, f, q -real value of phases. The short explanation of spin behavior can be presented as follows: we start with chaotic spin vectors.…”

Section: Introductionmentioning

confidence: 99%

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Consideration of analogies between magnetic and quantum notices for molecular network

2018

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Abstract. Magnetic properties of spin glass materials [9,13] are close to quantum interpretation in their nature description [17]. Therefore, we can look for possible kinds of analogies in process of defining theoretic and practice conventions, rules and applications of the specific characteristics in elaboration quantum calculation strategies. We have not investigated possibilities to create directly quantum calculation units and practice calculation structures like qubits, registers, gates etc. [4,18], but dealing with spin and quantum definitions and descriptions we can try to involve these notices from different domains. Such a pragmatic approach only intuitively gives chances to create the transition theory and implement it even partially. Obviously, almost all of us have heard about quantum factorization, cryptography or teleportation but it is obtained as a result of exploration casually selected quantum properties and adapting them to mathematic problems. In our approach, we carefully investigate involutions among spin and quantum nature looking at possible implementation in molecular network.

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Section: Introductionsupporting

confidence: 80%

“…The same formula is used in Ising model but (i,j) refers to pair of adjacent spins [2,7,8,19]. The average values of as well as .…”

Section: Itm Web Of Conferencesmentioning

confidence: 99%

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Consideration of analogies between magnetic and quantum notices for molecular network

2018

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“…[17] The behaviour of the Ising thin films through the use of layered Bethe lattices and Husimi trees was studied. [18] The exact phase diagrams of spin-1/2, [19] and spin-1 Ising models on a two-layer Bethe lattice with [20] and without [21] crystal fields for the case of AFM/AFM interactions were studied by using a pairwise approach. Meanwhile, a Bethe lattice is an infinite Cayleytree or a regular tree, i.e.…”

Section: Introductionmentioning

confidence: 99%

Spin-3/2 Ising model AFM/AFM two-layer lattice with crystal field

Albayrak

Yigit

2009

Chinese Phys. B

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The spin-3/2 Ising model is investigated for the case of antiferromagnetic (AFM/AFM) interactions on the two-layer Bethe lattice by using the exact recursion relations in the pairwise approach for given coordination numbers q = 3, 4 and 6 when the layers are under the influences of equal external magnetic and equal crystal fields. The ground state (GS) phase diagrams are obtained on the different planes in detail and then the temperature-dependent phase diagrams of the system are calculated accordingly. It is observed that the system presents both second- and first-order phase transitions for all q, therefore, tricritical points. It is also found that the system exhibits double-critical end points and isolated points. The model also presents two Néel temperatures, TN, and the existence of which leads to the reentrant behaviour.

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