一维多组分相互作用费米子热力学的Yang-Yang方法
Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions
摘要：
利用Yang和Yang的粒子-空穴描述，我们给出了在外部磁场存在下，一维一般$SU(κ)$费米子系统在排斥和吸引两种状态下的热力学Bethe不等式.这些方程是从Sutherland的Bethe方程出发，利用自旋弦假设导出的。详细讨论了吸引情形下的Bethe根模式。在吸引情况下，给出了磁相图各相位与外加磁场的关系。我们还给出了强排斥和强吸引机制的基态能量的定量描述。
英文摘要：
Using Yang and Yang's particle-hole description, we present a thorough derivation of the thermodynamic Bethe ansatz equations for a general $SU(κ)$ fermionic system in one-dimension for both the repulsive and attractive regimes under the presence of an external magnetic field. These equations are derived from Sutherland's Bethe ansatz equations by using the spin-string hypothesis. The Bethe ansatz root patterns for the attractive case are discussed in detail. The relationship between the various phases of the magnetic phase diagrams and the external magnetic fields is given for the attractive case. We also give a quantitative description of the ground state energies for both strongly repulsive and strongly attractive regimes.
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