Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
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DOI：
10.3842/sigma.2014.043
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发表时间：
2014-01-01
影响因子：
0.9
通讯作者：
Kozlowski, Karol Kajetan
中科院分区：
文献类型：
--
作者：
Dugave, Maxime;Goehmann, Frank;Kozlowski, Karol Kajetan
我们建立了线性积分方程解的几个性质，描述了无序状态下 XXZ 自旋 1/2 链的无限体积性质。特别是，我们获得了 Bethe 根的整理能量、整理电荷和密度的下界和上限。此外，我们确定，给定固定的外部磁场（或固定的磁化强度），费米区边界存在唯一值。
We establish several properties of the solutions to the linear integral equations describing the infinite volume properties of the XXZ spin-1/2 chain in the disordered regime. In particular, we obtain lower and upper bounds for the dressed energy, dressed charge and density of Bethe roots. Furthermore, we establish that given a fixed external magnetic field (or a fixed magnetization) there exists a unique value of the boundary of the Fermi zone.