Dynamical correlation functions of one-dimensional superconductors and Peierls and Mott insulators
Dynamical correlation functions of one-dimensional superconductors and Peierls and Mott insulators
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一维超导体与 Peierls 和 Mott 绝缘体的动态关联函数
DOI：
10.1007/s100510050472
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
J. Voit
中科院分区：
文献类型：
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作者：
J. Voit
摘要：本文利用对称性、与其他模型的关系以及已知极限，构造了描述一维费米子（即超导体和peerls和Mott绝缘体）具有一个无间隙和一个有间隙自由度的Luther-Emery模型的谱函数。根据电荷和自旋速度的相对大小，以及是否存在电荷或自旋间隙，我发现谱函数在奇点的数量和费米子算子的异常维度的存在或不存在方面有所不同。我发现，对于一个Peierls系统，有一个异常维奇点和一个有限极大值；对于一个超导体，具有两个异常维数的奇点；对于莫特绝缘子，有一个或两个没有异常尺寸的奇点。此外，还有很强的阴影带。我将构造推广到任意动态多粒子相关函数。这项工作的主要方面与数值计算和Bethe Ansatz计算一致。我还讨论了在一维Mott绝缘体和一维peerls系统正常状态下的光电实验中的应用，并提出了路德-埃默里模型作为具有重要电子相关性的一维电荷密度波系统的一般描述。
Abstract:I construct the spectral function of the Luther-Emery model which describes one-dimensional fermions with one gapless and one gapped degree of freedom, i.e. superconductors and Peierls and Mott insulators, by using symmetries, relations to other models, and known limits. Depending on the relative magnitudes of the charge and spin velocities, and on whether a charge or a spin gap is present, I find spectral functions differing in the number of singularities and presence or absence of anomalous dimensions of fermion operators. I find, for a Peierls system, one singularity with anomalous dimension and one finite maximum; for a superconductor two singularities with anomalous dimensions; and for a Mott insulator one or two singularities without anomalous dimension. In addition, there are strong shadow bands. I generalize the construction to arbitrary dynamical multi-particle correlation functions. The main aspects of this work are in agreement with numerical and Bethe Ansatz calculations by others. I also discuss the application to photoemission experiments on 1D Mott insulators and on the normal state of 1D Peierls systems, and propose the Luther-Emery model as the generic description of 1D charge density wave systems with important electronic correlations.