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Magnetic properties of a transverse Ising model with a four‐spin interaction
Author(s) -
Kaneyoshi T.
Publication year - 2005
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200440013
Subject(s) - condensed matter physics , ising model , phase diagram , transverse plane , physics , zernike polynomials , lattice (music) , mean field theory , spin (aerodynamics) , transverse field , square lattice ising model , statistical physics , phase (matter) , quantum mechanics , thermodynamics , structural engineering , wavefront , acoustics , engineering
Abstract The magnetic properties (phase diagram and magnetizations) of the spin‐½ transverse Ising model with two‐spin ( J ) and four‐spin ( J 4 ) interactions on honeycomb lattice are investigated by the use of the correlated effective‐field theory superior to the standard mean‐field and the Zernike approximations. The results of the phase diagram are greatly different from those obtained within the Zernike approximation, especially for the negative region of the ratio α ( α = J 4 / J ). In the low‐temperature region, the longitudinal and transverse magnetizations show many characteristic behaviors in the variation of α . (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)