First-order transition features of the triangular Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions
نویسندگان
چکیده
منابع مشابه
EFFECT OF THE NEXT-NEAREST NEIGHBOR INTERACTION ON THE ORDER-DISORDER PHASE TRANSITION
In this work, one and two-dimensional lattices are studied theoretically by a statistical mechanical approach. The nearest and next-nearest neighbor interactions are both taken into account, and the approximate thermodynamic properties of the lattices are calculated. The results of our calculations show that: (1) even though the next-nearest neighbor interaction may have an insignificant ef...
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Using aWang-Landau entropic sampling scheme, we investigate the effects of quenched bond randomness on a particular case of a triangular Ising model with nearest(Jnn) and next-nearest-neighbor (Jnnn) antiferromagnetic interactions. We consider the case R = Jnnn/Jnn = 1, for which the pure model is known to have a columnar ground state where rows of nearest-neighbor spins up and down alternate a...
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We obtain the axial next-nearest-neighbor Ising model from a Heisenberg model with large single-ion anisotropy energy, D, as might be relevant for helical spin systems. We treat quantum fluctuations to lowest order in 1/S at zero temperature within an expansion in J/D, where J is an exchange energy. The transition from the state with periodicity p=4 to the uniform state (p=∞) occurs via a seque...
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in this work, one and two-dimensional lattices are studied theoretically by a statistical mechanical approach. the nearest and next-nearest neighbor interactions are both taken into account, and the approximate thermodynamic properties of the lattices are calculated. the results of our calculations show that: (1) even though the next-nearest neighbor interaction may have an insignificant effect...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2007
ISSN: 0378-4371
DOI: 10.1016/j.physa.2007.04.051