Thermodynamics of One-Dimensional Solvable Models: Free energy and correlation functions of the XY model

Thermodynamics of One-Dimensional Solvable Models: Free energy and correlation functions of the XY model
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DOI:
10.1017/cbo9780511524332.002
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发表时间:
1999-03
期刊:
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影响因子:
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通讯作者:
Minoru Takahashi
Minoru Takahashi
中科院分区:
其他
文献类型:
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作者:
Minoru Takahashi

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第一部分:非相互作用体系的热力学和相互作用体系的基态:1.XY模型的自由能和关联函数2.具有三角函数势的体系3.各向同性海森堡模型4.XXZ模型5.XYZ和八顶点模型6.Hubbard模型II.非嵌套系统的有限温度积分方程组:7.排斥的三角函数玻色子8.XXX链的热力学9.XYZ模型的热力学11.低温热力学第三部分.嵌套系统的有限温度积分方程式:12.S=1/2费米子连续体中的排斥势13.S=1/2具有吸引势的费米子14.哈伯德模型的热力学第四部分:量子转移矩阵和最新进展:15.转移矩阵和关联长度16.磁场中的自旋1/2 XXZ模型17.无磁场的XYZ模型18.最新进展和相关课题.
Part I. Thermodynamics of Non-Interacting Systems and Ground States on Interacting Systems: 1. Free energy and correlation functions of XY models 2. Systems with delta-function potential 3. Isotropic Heisenberg model 4. XXZ model 5. XYZ and eight-vertex models 6. Hubbard model Part II. Finite Temperature Integral Equations for Un-Nested Systems: 7. Repulsive delta-function bosons 8. Thermodynamics of the XXX chain 9. Thermodynamics of the XXZ model 10. Thermodynamics of the XYZ model 11. Low-temperature thermodynamics Part III. Finite Temperature Integral Equations for Nested Systems: 12. S=1/2 fermions with repulsive potential in the continuum 13. S=1/2 fermions with an attractive potential 14. Thermodynamics of the Hubbard model Part IV. Quantum Transfer Matrix and Recent Developments: 15. Transfer matrix and correlation length 16. The spin 1/2 XXZ model in a magnetic field 17. The XYZ model with no magnetic field 18. Recent developments and related topics.