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Dynamics of the Composite Gauge Bosons in the Strongly-Correlated Electron Systems

Ikuo Ichinose

Published Mar 20, 1994• 0 citations
OpenAlex

Abstract

Since the discovery of cuprate high-temperature superconductors, there has been a lot of interest in theoretical studies 011 the strongly-correlated eleetron systems.It is now accepted that the t-J model is one of the canonical models of the high-Tr.superconductors, and this model has been studied extensively b)' various methods.Most difficult aspect of the t-J model is the existence of a, local constraint 011 the physical states, excluding the double-occupancy of electrons at each site.~/Iany recent

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Since the discovery of cuprate high-temperature superconductors, there has been a lot of interest in theoretical studies 011 the strongly-correlated eleetron systems.It is now accepted that the t-J model is one of the canonical models of the high-Tr.superconductors, and this model has been studied extensively b)' various methods.Most difficult aspect of the t-J model is the existence of a, local constraint 011 the physical states, excluding the double-occupancy of electrons at each site.~/Iany recent
To date, the Hubbard model and its strong coupling limit, the t-J model, serve as the canonical model for strongly correlated electron systems in solids. Approximating the Coulomb interaction by only the on-site term (Hubbard U-term), however, may not be sufficient to describe the essential physics of interacting electron systems. We develop a more complete model in which all the next leading order terms besides the on-site term are retained. Moreover, we discuss how the inclusion of these neglected interaction terms in the Hubbard model changes the t-J model.
Since the discovery of high Tc superconductors in cuprate oxides, physics of highly correlated electron systems has become one of the central issues in condensed matter physics. We can find many examples of highly correlated particle systems not only in electron systems, such as high Tc superconductors and transition metal oxides, but also in bosonic systems, such as alkaline atomic gases in an optical lattice and mesoscopic Josephson junction arrays. In this lecture, we illustrate several models of highly correlated particle systems of fermionic and bosonic systems, and clarify common features of these systems. Then theoretical approaches to analyze these systems will be reviewed; special emphasis is on the composite operator method, which has been developed by the present author and the Salerno group.
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. Typeset using REVTEX 1 Since the discovery of high Tc cuprate superconductors [1], the strongly correlated electron systems has been extensively studied theoretically [2–10]. Now a common consensus is reached that the low energy physics properties of cuprate superconductors, such as anomalous normal state behavior and high superconducting transition temperature, are determined