一维均匀费米体系的有限温度性质  

Finite temperature properties of one-dimensional homogeneous Fermi systems

作　　者：俞玄平 高先龙[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2016年第2期164-168,共5页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(KYZKJY11118)

摘　　要：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.

关 键 词：Gaudin-Yang模型 热力学Bethe-ansatz方程 压缩率 比热 Luttinger参数 量子临界区 

分 类 号：O562.4[理学—原子与分子物理]