arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.01443cond-mat.str-elquant-ph
收藏

自旋为1/2的海森堡XXZ链中的量子关联

Quantum correlations in the spin-1/2 Heisenberg XXZ chain with modulated Dzyaloshinskii-Moriya interaction

F. Khastehdel Fumani, B. Beradze, S. Nemati, S. Mahdavifar, G. I. Japaridze

摘要:

利用数值Lanczos方法研究了一维自旋为1/2的XXZ海森堡模型中的Dzyaloshinskiii-Moriya交替相互作用.最近,该模型的基态(GS)相图已建立使用玻色化方法和广泛的密度矩阵重整化群计算。四个量子相-饱和铁磁(FM),Luttinger液体(LL),和两个(C1和C2)间隙相的复合结构的GS秩序,其特征是长程交替二聚体,手征和反铁磁秩序的共存。在这里,我们重新审视相同的问题,使用精确对角化Lanczos方法链到N = 26的网站和明确检测的量子临界点(QCP)的位置,通过调查的量子相关的纠缠和量子不和谐(QD)。结果表明,用纠缠度和量子点的一阶导数量化的纠缠度除了能揭示标准FM QCP外,还能揭示LL和带隙C1相之间的Berezinskiii-Kosterlitz-nessel(BKT)相变点以及分离C1和C2相的Ising型临界点.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑