Ground-state phase diagram of S=1 XXZ chains with uniaxial single-ion-type anisotropy -: art. no. 104401

Ground-state phase diagram of S=1 XXZ chains with uniaxial single-ion-type anisotropy -: art. no. 104401
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DOI:
10.1103/physrevb.67.104401
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发表时间:
2003-03-01
期刊:
影响因子:
3.7
通讯作者:
Sanctuary, BC
Sanctuary, BC
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Chen, W;Hida, K;Sanctuary, BC

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通过数值精确对角化有限尺寸系统,研究了具有单轴单离子型各向异性的一维S = 1 XXZ链。用共形场论、能级谱、唯象重整化群和有限尺寸标度方法对数值结果进行了分析。因此,我们提出了一个定量可靠的基态相图这个模型。该模型的基态包括Haldron相、大尺寸相、Neel相、两个XY相和铁磁相。在这些相变之间有四种不同类型的相变:Brezinskiii-Kosterlitz-Thouless型相变、Gaussian型相变、Ising型相变和一阶相变。这些临界线的位置被精确地确定。
One-dimensional S = 1 XXZ chains with uniaxial single-ion-type anisotropy are studied by numerical exact diagonalization of finite-size systems. The numerical data are analyzed using conformal field theory, the level spectroscopy, phenomenological renormalization-group, and finite-size scaling method. We thus present a quantitatively reliable ground-state phase diagram of this model. The ground states of this model contain the Haldane phase, large-D phase, Neel phase, two XY phases, and the ferromagnetic phase. There are four different types of transitions between these phases: the Brezinskii-Kosterlitz-Thouless-type transitions, the Gaussian-type transitions, the Ising-type transitions, and the first-order transitions. The locations of these critical lines are accurately determined.