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arXiv 1003.0582cond-mat.str-elcond-mat.mes-hallcond-mat.supr-con
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介观配对模型的动力学关联函数

Dynamical correlation functions of the mesoscopic pairing model

Alexandre Faribault, Pasquale Calabrese, Jean-Sebastien Caux

摘要:

本文研究了正则系综中Richardson对模型(也称为约化或离散态BCS模型)的动力学关联函数。我们使用代数Bethe Angloman形式主义,它给出了最重要的观测量的形状因子的精确表达式。通过在一组相关的状态下对这些形状因子求和,我们得到了关联函数的非常精确的估计,正如全球求和规则所证实的那样(在所有考虑的情况下,饱和度均高于99%)。与许多其他贝特安奈可解理论不同的是,简单的两粒子态就足以达到这样的饱和,即使在热力学极限下。我们提供了明确的结果,在半填充,并讨论其有限尺寸标度的行为。

英文摘要:

We study the dynamical correlation functions of the Richardson pairing model (also known as the reduced or discrete-state BCS model) in the canonical ensemble. We use the Algebraic Bethe Ansatz formalism, which gives exact expressions for the form factors of the most important observables. By summing these form factors over a relevant set of states, we obtain very precise estimates of the correlation functions, as confirmed by global sum-rules (saturation above 99% in all cases considered). Unlike the case of many other Bethe Ansatz solvable theories, simple two-particle states are sufficient to achieve such saturations, even in the thermodynamic limit. We provide explicit results at half-filling, and discuss their finite-size scaling behavior.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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