摘要翻译:
我们考虑了具有近邻相互作用的一维横向Ising模型,精确地计算了一类激发态的纵向自旋-自旋关联。这些态在一维横向伊辛模型的扰动处理中起着重要的作用。对于关联的计算,我们遵循了Wu先前的步骤,使用Szego定理和Fisher-Hartwig猜想。结果表明,相关随距离($n$)的代数衰减为$1/\surdn$,并且根据横向场的大小,相关是振荡的或非振荡的。
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英文标题:
《Spin-spin Correlation in Some Excited States of Transverse Ising Model》
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作者:
Anjan Kumar Chandra, Subinay Dasgupta
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We consider the transverse Ising model in one dimension with nearest-neighbour interaction and calculate exactly the longitudinal spin-spin correlation for a class of excited states. These states are known to play an important role in the perturbative treatment of one-dimensional transverse Ising model with frustrated second-neighbour interaction. To calculate the correlation, we follow the earlier procedure of Wu, use Szego's theorem and also use Fisher-Hartwig conjecture. The result is that the correlation decays algebraically with distance ($n$) as $1/\surd n$ and is oscillatory or non-oscillatory depending on the magnitude of the transverse field.
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PDF链接:
https://arxiv.org/pdf/704.1718