The Drude weight of the spin-1/2 XXZ chain: density matrix renormalization group versus exact diagonalization
The Drude weight of the spin-1/2 XXZ chain: density matrix renormalization group versus exact diagonalization
复制标题
自旋 1/2 XXZ 链的 Drude 权重：密度矩阵重正化群与精确对角化
DOI：
10.1103/physrevb.87.245128
复制
发表时间：
2013
影响因子：
3.7
通讯作者：
F. Heidrich-Meisner
中科院分区：
文献类型：
--
作者：
C. Karrasch;J. Hauschild;S. Langer;F. Heidrich-Meisner
我们使用两种互补的方法，精确对角化（艾德）和含时密度矩阵重整化群（tDMRG）重新讨论了可积自旋XXZ链的自旋Drude重量问题。我们追求两个主要目标。首先，我们提出了广泛的结果的温度依赖性。通过利用tDMRG中的时间平移不变性，可以提取比以前的tDMRG研究中显著更低的温度。其次，我们讨论的tDMRG数据的数值质量和详细说明的有限尺寸缩放的艾德结果，比较计算进行的规范和巨规范合奏。此外，我们还分析了Drude重量在接近SU（2）对称交换点时的行为，并讨论了Drude重量对求和规则的相对贡献随温度的变化.
We revisit the problem of the spin Drude weightof the integrable spin-XXZ chain using two complementary approaches, exact diagonalization (ED) and the time-dependent density-matrix renormalization group (tDMRG). We pursue two main goals. First, we present extensive results for the temperature dependence of. By exploiting time translation invariance within tDMRG, one can extractfor significantly lower temperatures than in previous tDMRG studies. Second, we discuss the numerical quality of the tDMRG data and elaborate on details of the finite-size scaling of the ED results, comparing calculations carried out in the canonical and grand-canonical ensembles. Furthermore, we analyze the behavior of the Drude weight as the point with SU(2)-symmetric exchange is approached and discuss the relative contribution of the Drude weight to the sum rule as a function of temperature.