Thermodynamical properties of the mixed spin transverse Ising model with four-spin interactions

The thermodynamical properties of the mixed spin transverse Ising system consisting of spin-1/2 and spin-1 with four-spin interactions are studied within the frame work of the finite cluster approximation based on single-site cluster theory. In this approach, the state equations are derived for the...

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Bibliographic Details
Published in:Physica A 2014-05, Vol.402, p.14-29
Main Authors: Ghliyem, M., Benayad, N., Azhari, M.
Format: Article
Language:English
Subjects:
Approximation
Clusters
Four-spin interactions
Internal energy
Ising model
Lattices
Mathematical analysis
Mixed spin
Phase diagrams
Statistical mechanics
Thermodynamical properties
Transverse field
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Summary:The thermodynamical properties of the mixed spin transverse Ising system consisting of spin-1/2 and spin-1 with four-spin interactions are studied within the frame work of the finite cluster approximation based on single-site cluster theory. In this approach, the state equations are derived for the two-dimensional square lattice. In addition to the phase diagrams which show qualitatively interesting features (variety of transitions and tricritical behaviour), we find some characteristic behaviours of the longitudinal and transverse sublattice magnetizations. In particular, the gap of the longitudinal magnetization at first order transition decreases with increasing values of the transverse field. Moreover, the effects of the transverse field on the internal energy and the specific heat are also investigated. •We derive the state equations for a mixed spin transverse Ising model with four-spin interactions.•We investigate the magnetic properties.•The system exhibits tricritical behaviour in certain ranges of the four-spin interaction and transverse field strengths.•We examine the effects of the four-spin interaction and transverse field on the internal energy and the specific heat.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2014.01.023