scholarly journals Spin wave theory of a one-dimensional generalized Kitaev model

2020 ◽  
Vol 102 (13) ◽  
Author(s):  
Wang Yang ◽  
Alberto Nocera ◽  
Ian Affleck
Keyword(s):  
Spin Wave ◽  
Wave Theory ◽  
One Dimensional ◽  
Spin Wave Theory ◽  
Kitaev Model

Spin-wave theory of the zero-point energy of solitons in one-dimensional magnets

1989 ◽  
Vol 1 (35) ◽  
pp. 6131-6144
Author(s):  
D H Jones ◽  
Q A Pankhurst ◽  
M F Thomas ◽  
C E Johnson
Keyword(s):  
Spin Wave ◽  
Zero Point ◽  
Wave Theory ◽  
Zero Point Energy ◽  
Point Energy ◽  
One Dimensional ◽  
Spin Wave Theory

Modified spin-wave theory applied to one-dimensional Heisenberg ferromagnet with the nearest-neighbor and next-nearest-neighbor exchange anisotropies

2019 ◽  
Vol 33 (11) ◽  
pp. 1950106
Author(s):  
Yun Liao ◽  
Yuan Chen ◽  
Ji Pei Chen ◽  
Wen An Li
Keyword(s):  
Low Temperature ◽  
Specific Heat ◽  
Spin Wave ◽  
Nearest Neighbor ◽  
Wave Theory ◽  
Heisenberg Ferromagnet ◽  
Thermodynamic Quantities ◽  
One Dimensional ◽  
Spin Wave Theory ◽  
The One

The modified spin-wave theory is used to investigate the one-dimensional Heisenberg ferromagnet with the nearest-neighbor (NN) and next-nearest-neighbor (NNN) exchange anisotropies. The ground-state and low-temperature properties of the system are studied within the self-consistent method. It is found that the effect of the NN anisotropy on the thermodynamic quantities is stronger than that of the NNN anisotropy in the low-temperature region. The anisotropy dependence behaviors (such as the power, exponential and linear laws) are obtained for the position and the height of the maximum of the specific heat and its coefficient, as well as the susceptibility coefficient. The specific heat and its coefficient both display the low-temperature double maxima which are induced by the anisotropies and the NNN interaction. In the very low temperatures the specific heat and the susceptibility behave severally as T[Formula: see text] and T[Formula: see text] at the critical point J2/J1 = −0.25, where J1 and J2 are the NN and NNN interactions, respectively.

Influence of next-nearest neighbor interaction on low temperature properties of the spin-1/2 one-dimensional ferromagnetic XY model

2015 ◽  
Vol 29 (31) ◽  
pp. 1550225 ◽  
Author(s):  
Songqiu Yin ◽  
Yuan Chen
Keyword(s):  
Low Temperature ◽  
Specific Heat ◽  
Spin Wave ◽  
Nearest Neighbor ◽  
Wave Theory ◽  
Xy Model ◽  
Neighbor Interaction ◽  
One Dimensional ◽  
Spin Wave Theory ◽  
The One

In this paper, we apply spin-wave theory to the one-dimensional spin-1/2 ferromagnetic XY model with the next-nearest neighbor interaction. The thermodynamic divergences which the conventional spin-wave theory encounters with, are solved by implementing Takahashi’s idea through introducing a Lagrange multiplier in the Hamiltonian to keep zero magnetization. It is shown that the next-nearest neighbor interaction has an influence on the ground-state and low temperature properties of the system. The exponential laws which are induced by the next-nearest neighbor interaction, are found for heights of maxima of the specific heat and its coefficient, as well as the maximum and minimum of the susceptibility coefficient. The maximum positions of the specific heat and its coefficient fit well to the linear and exponential laws under the next-nearest neighbor interaction, respectively.

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