scholarly journals Thermodynamic Behavior of Spin-1 Heisenberg Chain: a Comparative Study

2021 ◽  
Author(s):  
Mona Faridfar ◽  
Javad Vahedi
Keyword(s):  
Heat Capacity ◽  
Magnetic Susceptibility ◽  
Low Temperature ◽  
Comparative Study ◽  
Spin Wave ◽  
Wave Theory ◽  
Thermodynamic Quantities ◽  
Heisenberg Chain ◽  
Density Matrix Renormalization ◽  
Numerical Approaches

AbstractIn this work, we present a comparative study of thermodynamic quantum equilibrium observables of spin-1 Heisenberg chain. As a theoretical approach, the modified spin-wave theory is chosen. From the numerical side, we consider finite-temperature Lanczos, kernel polynomial, and density matrix renormalization techniques. The results show general consistency of thermodynamic quantities, such as heat capacity and magnetic susceptibility, calculated within the approaches. For the modified spin-wave, the results show some inaccuracy especially at low temperature, failure in capturing the gapped features of spin-1 Heisenberg chain, while the numerical approaches illustrate a good achievement at $$T\rightarrow 0$$ T → 0 within the proper parameters chosen.

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.

Low temperature heat capacity and magnetic susceptibility of Ti3SiC2

2004 ◽  
Vol 95 (1) ◽  
pp. 128-133 ◽  
Author(s):  
Monika K. Drulis ◽  
A. Czopnik ◽  
H. Drulis ◽  
M. W. Barsoum
Keyword(s):  
Heat Capacity ◽  
Magnetic Susceptibility ◽  
Low Temperature ◽  
Temperature Heat ◽  
Low Temperature Heat Capacity

Modified spin-wave theory for the S = 1 frustrated antiferromagnetic Heisenberg chain

2007 ◽  
Vol 56 (1) ◽  
pp. 7-14 ◽  
Author(s):  
G. M. Rocha-Filho ◽  
A. S.T. Pires ◽  
M. E. Gouvêa
Keyword(s):  
Spin Wave ◽  
Wave Theory ◽  
Heisenberg Chain ◽  
Spin Wave Theory
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