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arXiv 0706.3036cond-mat.str-elcond-mat.supr-con
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哈伯德模型:玻色子激发和零频率常数

The Hubbard model: bosonic excitations and zero-frequency constants

Adolfo Avella, Ferdinando Mancini

摘要:

本文用复合算符方法对哈伯德模型的玻色动力学进行了完全自洽的计算。从一方面考虑了一组基本的费米子复合算符(Hubbard场),并计算了滞后传播子。另一方面,我们考虑一组基本的玻色复合算子(电荷,自旋和对)和计算的因果传播。格林函数(GF)(延迟和因果),在极坐标近似研究的方程,耦合和依赖于一组参数不确定的动态。首先,自洽解决对扇区与费米子的一个和零频率常数(ZFC)的计算不假设遍历值,但固定的GF的表示在这样一种方式,以保持所需的约束的代数的复合字段。然后,我们给出了用费米子和对算符计算电荷和自旋扇区(包括ZFC)的方案。

英文摘要:

A fully self-consistent calculation of the bosonic dynamics of the Hubbard model is developed within the Composite Operator Method. From one side we consider a basic set of fermionic composite operators (Hubbard fields) and calculate the retarded propagators. On the other side we consider a basic set of bosonic composite operators (charge, spin and pair) and calculate the causal propagators. The equations for the Green's functions (GF) (retarded and causal), studied in the polar approximation, are coupled and depend on a set of parameters not determined by the dynamics. First, the pair sector is self-consistently solved together with the fermionic one and the zero-frequency constants (ZFC) are calculated not assuming the ergodic value, but fixing the representation of the GF in such a way to maintain the constrains required by the algebra of the composite fields. Then, the scheme to compute the charge and spin sectors, ZFCs included, is given in terms of the fermionic and pair correlators.

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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