一维均匀费米体系的有限温度性质

Finite temperature properties of one-dimensional homogeneous Fermi systems

运用牛顿法数值求解了有限温度下一维费米体系Gaudin-Yang模型的热力学Bethe-ansatz方程,得到了相关热力学量的数值结果;给出了在排斥和吸引相互作用下粒子数密度随化学势和温度的变化,以及在排斥相互作用下压缩率、比热和Luttinger参数关于温度和化学势的图像.由此分析得到了均匀体系在量子临界区的性质.

The thermodynamic Bethe-ansatz equations of Gaudin-Yang Fermi model was numerically solved by using Newton's method. At the repulsive and attractive interaction,the particle number density as a function of chemical potential and temperature,and the compressibility,specific heat and the Luttinger parameter as a function of the chemical potential and temperature were obtained. The properties of the homogeneous system in the quantum critical regime were analyzed.