Antiferromagnetic stacked triangular lattices with Heisenberg spins: Phase transition and effect of next-nearest-neighbor interaction

1994 ◽  
Vol 50 (22) ◽  
pp. 16453-16458 ◽  
Author(s):  
D. Loison ◽  
H. T. Diep
Keyword(s):  
Phase Transition ◽  
Nearest Neighbor ◽  
Neighbor Interaction ◽  
Triangular Lattices

Onsager reaction field theory applied to the phase diagram of Heisenberg chain with ferromagnetic long-range interaction and antiferromagnetic nearest-neighbor interaction

2021 ◽  
Vol 35 (06) ◽  
pp. 2150080
Author(s):  
Yuan Chen ◽  
Xiuzhi Zhang ◽  
Wenan Li ◽  
Jipei Chen
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Long Range ◽  
Nearest Neighbor ◽  
Temperature Phase ◽  
Zero Temperature ◽  
Neighbor Interaction ◽  
Range Interaction ◽  
Reaction Field ◽  
The One

Onsager reaction field theory is used to investigate the one-dimensional ferromagnetic long-range interacting spin chain with the antiferromagnetic nearest-neighbor interaction (NNI) [Formula: see text]. The ferromagnetic long-range interactions considered in this paper decay as [Formula: see text] with the distance [Formula: see text] between lattice sites. It is found that both the zero temperature and finite-temperature phase diagrams of the system are strongly affected by the interplay between ferromagnetic long-range and antiferromagnetic NNIs. The critical temperature and the uniform susceptibility are obtained as a function of [Formula: see text] and [Formula: see text]. At finite temperatures and in the region [Formula: see text] in which [Formula: see text] is dependent of [Formula: see text], the ferromagnetic-paramagnetic phase transition survives for [Formula: see text] and no phase transition exists for [Formula: see text]. At [Formula: see text], the ferromagnetic-antiferromagnetic phase transition happens at zero temperature for [Formula: see text]. The ground state of the system keeps ferromagnetic when [Formula: see text]. But for [Formula: see text], the system becomes antiferromagnetic at all temperatures.

scholarly journals Плотность состояний и структура основного состояния модели Изинга на решетке Кагоме с учетом взаимодействия ближайших и следующих соседей

2018 ◽  
Vol 60 (6) ◽  
pp. 1173
Author(s):  
М.А. Магомедов ◽  
А.К. Муртазаев
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Nearest Neighbor ◽  
Abnormal Behavior ◽  
Two Dimensional ◽  
Analysis Method ◽  
Neighbor Interaction ◽  
The Monte Carlo Method ◽  
Antiferromagnetic Ising Model ◽  
Second Order Phase Transition

AbstractPhase transitions and thermodynamic properties have been studied in the two-dimensional antiferromagnetic Ising model on a Kagome lattice by the Monte Carlo method with consideration for both nearest- and next-nearest-neighbor interaction. Using the histogram data analysis method, it has been shown that the studied model is characterized by a second-order phase transition. The temperature dependence of thermodynamic parameters has been revealed to exhibit abnormal behavior.

Integrable Multi-impurity Open XXZ Chain with Next-Nearest-Neighbor Interaction

1999 ◽  
Vol 16 (6) ◽  
pp. 434-436
Author(s):  
Yun-zhong Lai ◽  
Ai-zhen Zhang ◽  
Zhan-ning Hu ◽  
Jiu-qing Liang ◽  
Fu-ke Pu (Pu Fu-cho)
Keyword(s):  
Nearest Neighbor ◽  
Neighbor Interaction ◽  
Xxz Chain
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