A field-theoretical approach to the extended Hubbard model
Z. Koinov
TL;DR
This paper introduces a field-theoretical method using Hubbard-Stratonovich transformation to analyze the extended Hubbard model, enabling exact calculations of correlation functions for different superconducting states.
Contribution
It presents a novel application of the Hubbard-Stratonovich transformation to derive exact results for correlation functions in the extended Hubbard model, including s-wave and d-wave superconductivity.
Findings
Exact results for mass operator and correlation functions in s-wave superconductivity
Method applicability to d-wave superconductivity discussed
Provides a new analytical framework for extended Hubbard model analysis
Abstract
We transform the quartic Hubbard terms in the extended Hubbard model to a quadratic form by making the Hubbard-Stratonovich transformation for the electron operators. This transformation allows us to derive exact results for mass operator and charge-charge and spin-spin correlation functions for s-wave superconductivity. We discuss the application of the method to the d-wave superconductivity.
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