论文标题
与调制的Dzyaloshinskii-Moriya相互作用的Spin-1/2 Heisenberg XXZ链中的量子相关性
Quantum correlations in the spin-1/2 Heisenberg XXZ chain with modulated Dzyaloshinskii-Moriya interaction
论文作者
论文摘要
我们使用数值兰斯佐斯方法研究了具有交替的dzyaloshinskii-Moriya相互作用的一维自旋1/2 XXZ海森堡模型。最近，使用琼脂化方法和广泛的密度矩阵重质化组计算建立了该模型的基态（GS）相图。四个量子相 - 饱和铁磁（FM），Luttinger液体（LL）和两个（C1和C2）的间隙相具有GS顺序的复合结构，其特征在于长距离交流二聚体，chirality，chirality and Chirality and Chirality and Chirality and Chirality and Cantromagnetic阶的共存。在这里，我们使用精确的对角兰开斯法重新检查了相同的问题，用于链条，用于n = 26个位点的链条，并通过研究纠缠和量子不偏见（QD）的量子相关性来显式检测量子关键点（QCP）的位置。结果表明，除了标准的FM QCP外，还可以通过同意和QD的第一个衍生物来揭示纠缠，也可以揭示LL和GAPPED C1相之间的Berezinskii-Kosterlitz-thouless（BKT）相变点，以及将C1和C1分离的ISING类型的关键点。
We study a one-dimensional spin-1/2 XXZ Heisenberg model with alternating Dzyaloshinskii- Moriya interaction, using the numerical Lanczos method. Recently, the ground state (GS) phase diagram of this model has been established using the bosonization approach and extensive density matrix renormalization group computations. Four quantum phases - saturated ferromagnetic (FM), Luttinger liquid (LL), and two (C1 and C2) gapped phases with composite structure of GS order, characterized by the coexistence of long-range alternating dimer, chirality and antiferromagnetic order have been identified. Here we reexamine the same problem using the exact diagonalization Lanczos method for chains up to N = 26 sites and explicitly detect positions of quantum critical points (QCP) by investigating the quantum correlations as the entanglement and the quantum discord (QD). It is shown that the entanglement quantified by concurrence and the first derivative of the QD are able to reveal besides the standard FM QCP also the Berezinskii-Kosterlitz-Thouless (BKT) phase transition point between the LL and the gapped C1 phase and the Ising type critical point separating the C1 and C2 phases.
