Duality-mediated critical amplitude ratios for the (2 + 1)-dimensional S = 1XY model
Duality-mediated critical amplitude ratios for the (2 + 1)-dimensional S = 1XY model
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(2 1) 维 S = 1XY 模型的对偶介导临界振幅比
DOI：
10.1140/epjb/e2017-80286-1
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Y. Nishiyama
中科院分区：
文献类型：
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作者：
Y. Nishiyama
对（2 + 1）维自旋S = 1XY模型的相变进行了数值研究。由于玻色子-涡旋对偶性，有序相的自旋刚度ρs和无序相的涡旋-凝聚刚度ρv应该有密切的关系。我们采用精确对角化方法，直接产生激发间隙。通过标度分析，我们估计了N ≤ 22自旋的有限尺寸团簇的振幅比ρs，v/Δ（Δ：Mott绝缘体能隙）.比率ρs/ρv允许一个偏离自对偶性的定量度量。
The phase transition for the (2 + 1)-dimensional spin-S = 1XY model was investigated numerically. Because of the boson-vortex duality, the spin stiffness ρs in the ordered phase and the vortex-condensate stiffness ρv in the disordered phase should have a close relationship. We employed the exact diagonalization method, which yields the excitation gap directly. As a result, we estimate the amplitude ratios ρs,v/Δ (Δ: Mott insulator gap) by means of the scaling analyses for the finite-size cluster with N ≤ 22 spins. The ratio ρs/ρv admits a quantitative measure of deviation from selfduality.
(2 1) 维 XY 模型临界性的数值对角化分析：非对角 Novotny 方法
DOI：
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发表时间：
2008
期刊：
Phys. Rev. E 78
影响因子：
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作者：
Chitoshi Yasuda;Daisuke Kinouchi;and Kenn Kubo;Chitoshi Yasuda;Chitoshi Yasuda;安田千寿;安田千寿;安田千寿;安田千寿;安田千寿;Chitoshi Yasuda;Yoshihiro Nishiyama,
通讯作者：
Yoshihiro Nishiyama,