自旋为1/2的极化费米子的磁性和量子相变
Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
摘要：
利用缀饰能量理论，对一维Bethe自旋1/2可积吸引费米子的磁性和相变进行了广泛的研究.本文提出了一种迭代方法，导出了对基态能量、临界场和磁性的高阶修正。的穿着能量方程的数值解证实，这些物理量的解析表达式和由此产生的相图是高度精确的弱耦合和强耦合制度，捕获的精确性质的磁效应和量子相变在一维相互作用的费米子与人口不平衡。此外，它表明，普遍性类的线性场依赖行为的磁化保持在整个有吸引力的制度。
英文摘要：
An extensive investigation is given for magnetic properties and phase transitions in one-dimensional Bethe ansatz integrable spin-1/2 attractive fermions with polarization by means of the dressed energy formalism. An iteration method is presented to derive higher order corrections for the ground state energy, critical fields and magnetic properties. Numerical solutions of the dressed energy equations confirm that the analytic expressions for these physical quantities and resulting phase diagrams are highly accurate in the weak and strong coupling regimes, capturing the precise nature of magnetic effects and quantum phase transitions in one-dimensional interacting fermions with population imbalance. Moreover, it is shown that the universality class of linear field-dependent behaviour of the magnetization holds throughout the whole attractive regime.
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