Fidelity-mediated analysis of the transverse-field $XY$ chain with the long-range interactions: Anisotropy-driven multi-criticality Yoshihiro Nishiyama
Fidelity-mediated analysis of the transverse-field $XY$ chain with the long-range interactions: Anisotropy-driven multi-criticality Yoshihiro Nishiyama
复制标题
具有长程相互作用的横向场 $XY$ 链的保真度介导分析：各向异性驱动的多临界性 Yoshihiro Nishiyama
DOI：
10.1140/epjb/s10051-021-00245-1
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发表时间：
2021
影响因子：
1.6
通讯作者：
Yoshihiro Nishiyama
中科院分区：
文献类型：
--
作者：
池田 幸太;Pierre Roux;Delphine Salor;Didier Smets;上田好寛;Yoshihiro Nishiyama
用精确对角化方法研究了具有长程相互作用的横场XY链。长程相互作用的代数衰减率与有效维数有关，有效维数决定了横向场驱动相变的临界性。根据大N分析，随着XY各向异性的变化，相边界呈现内凹行为。一方面，对于和短程XY磁体，奇异性分别被确定为和0，并且周围的瞬态行为仍然不清楚。作为一个初步的调查，设置，我们研究了相变的机构的保真度，这似乎是检测奇异性相当敏感。因此，在设置（）下，我们将保真度数据转换为具有适当缩放的交叉缩放公式，旨在确定周围的多关键性。我们的结果表明，多临界性是相同的磁铁，和的线性可能会保持到。
The transverse-fieldXYchain with the long-range interactions was investigated by means of the exact-diagonalization method. The algebraic decay rateof the long-range interaction is related to the effective dimensionality, which governs the criticality of the transverse-field-driven phase transition at. According to the large-Nanalysis, the phase boundaryexhibits a reentrant behavior within, as theXY-anisotropychanges. On the one hand, as for theandshort-rangeXYmagnets, the singularities have been determined asand 0, respectively, and the transient behavior aroundremains unclear. As a preliminary survey, setting, we investigate the phase transition by the agency of the fidelity, which seems to detect the singularity atrather sensitively. Thereby, under the setting(), we cast the fidelity data into the crossover-scaling formula with the properly scaled, aiming to determine the multi-criticality around. Our result indicates that the multi-criticality is identical to that of themagnet, and’s linearity might be retained down to.