"Eight-vertex model and quantum XYZ model"의 두 판 사이의 차이
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* Sutherland 1970 showed that any eight-vertex model transfer matrix commutes with an XYZ Hamiltonian<br> | * Sutherland 1970 showed that any eight-vertex model transfer matrix commutes with an XYZ Hamiltonian<br> | ||
* Baxter considered (unaware of Sutherland 1970) the problem of the commutation of two eight-vertex transfer matrices<br> | * Baxter considered (unaware of Sutherland 1970) the problem of the commutation of two eight-vertex transfer matrices<br> | ||
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| + | <h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">Hamiltonian</h5> | ||
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| + | * XYZ Hamiltonian<br><math>\hat H = -\frac{1}{2} \sum_{j=1}^{N} (J_x \sigma_j^x \sigma_{j+1}^x + J_y \sigma_j^y \sigma_{j+1}^y + J_z \sigma_j^z \sigma_{j+1}^z - h\sigma_j^{z})</math><br> | ||
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* [[Heisenberg spin chain model]]<br> | * [[Heisenberg spin chain model]]<br> | ||
* [[six-vertex model and Quantum XXZ Hamiltonian]]<br> | * [[six-vertex model and Quantum XXZ Hamiltonian]]<br> | ||
| + | * [[Yang-Baxter equation (YBE)|Yang-Baxter equation]]<br> | ||
| 55번째 줄: | 66번째 줄: | ||
* [http://dx.doi.org/10.1006/aphy.2000.6010 Partition Function of the Eight-Vertex Lattice Model]<br> | * [http://dx.doi.org/10.1006/aphy.2000.6010 Partition Function of the Eight-Vertex Lattice Model]<br> | ||
| − | ** Baxter, Rodney , J. Publication: Annals of Physics, 70, Issue 1, p.193-228<br> | + | ** Baxter, Rodney , J. Publication: Annals of Physics, 70, Issue 1, p.193-228, 1972<br> |
* http://dx.doi.org/10.1063/1.1665111<br> | * http://dx.doi.org/10.1063/1.1665111<br> | ||
** B. Sutherland, J. Math. Phys. 11:3183-3186 (1970)<br> | ** B. Sutherland, J. Math. Phys. 11:3183-3186 (1970)<br> | ||
2010년 8월 3일 (화) 12:32 판
introduction
- This model includes the dimer, ice and zero-field Ising, F and KDP models as special cases.
- Sutherland 1970 showed that any eight-vertex model transfer matrix commutes with an XYZ Hamiltonian
- Baxter considered (unaware of Sutherland 1970) the problem of the commutation of two eight-vertex transfer matrices
Hamiltonian
- XYZ Hamiltonian
\(\hat H = -\frac{1}{2} \sum_{j=1}^{N} (J_x \sigma_j^x \sigma_{j+1}^x + J_y \sigma_j^y \sigma_{j+1}^y + J_z \sigma_j^z \sigma_{j+1}^z - h\sigma_j^{z})\)
history
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[[4909919|]]
articles
- Partition Function of the Eight-Vertex Lattice Model
- Baxter, Rodney , J. Publication: Annals of Physics, 70, Issue 1, p.193-228, 1972
- Baxter, Rodney , J. Publication: Annals of Physics, 70, Issue 1, p.193-228, 1972
- http://dx.doi.org/10.1063/1.1665111
- B. Sutherland, J. Math. Phys. 11:3183-3186 (1970)
- B. Sutherland, J. Math. Phys. 11:3183-3186 (1970)
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