论文标题
具有远距离相互作用和调制单离子各向异性的自旋-1抗铁磁链中的量子相变
Quantum phase transitions in a spin-1 antiferromagnetic chain with long-range interactions and modulated single-ion anisotropy
论文作者
论文摘要
我们研究了与幂律$ \ propto r^{ - α} $（$α\ ge 1 $）一起使用的各向同性抗铁磁相互作用的自旋1抗磁性链的相图，并伴有调节的单人离子各向异性。研究了使用密度 - 马trix重新归一化组的技术，研究了远距离相互作用和单离子各向异性对各种相关性的影响。为了检查一致性，在量子相变的跨量相变时评估了保真度的敏感性。忠实检测到量子关键点，并确定相变的顺序。相关长度的临界指数是从保真度敏感性的缩放函数中提取的。远程相互作用的存在导致相边界的定量变化，并在某些条件下降低了相变的顺序。周期性néel相位与大$ d $相之间的直接一阶过渡是用于缓慢衰减的抗铁磁相互作用的。
We study the phase diagram of spin-1 antiferromagnetic chain with isotropic antiferromagnetic interactions decaying with a power-law $\propto r^{-α}$ ($α\ge 1$) accompanied by modulated single-ion anisotropy. Employing the techniques of the density-matrix renormalization group, effects of long-range interactions and single-ion anisotropy on a variety of correlations are investigated. In order to check the consistency, the fidelity susceptibilities are evaluated across quantum phase transitions. The quantum critical points are faithfully detected and orders of phase transitions are determined. The correlation-length critical exponent is extracted from scaling functions of the fidelity susceptibility. The presence of long-range interactions leads to quantitative change of the phase boundaries and reduces the order of phase transition under certain conditions. A direct first-order transition between the periodic Néel phase and the large-$D$ phase occurs for slowly decaying antiferromagnetic interactions.
