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Unified thoery of strongly correlated electron systems

Yu-Liang Liu
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Abstract

In framework of eigen-functional bosonization method, we introduce an imaginary phase field to uniquely represent electron correlation, and demonstrate that the Landau Fermi liquid theory and the Tomonaga-Luttinger liquid theory can be unified. It is very clear in this framework that the Tomonaga-Luttinger liquid behavior of one-dimensional interacting electron gases originates from their Fermi structure, and the non-Landau-Fermi liquid behavior of 2D interacting electron gases is induced by the long-range electron interaction, while 3D interacting electron gases generally show the Landau Fermi liquid behavior.

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Yu-Liang Liu. 2000-11-16. Unified thoery of strongly correlated electron systems. https://arxiv.org/abs/cond-mat/0011254

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