A renormalization group analysis of the one-dimensional extended Hubbard model

TL;DR

This paper applies a weak coupling renormalization group method to analyze the phase diagram of the one-dimensional extended Hubbard model at half-filling, considering irrelevant interactions and their effects on correlation functions and phases.

Contribution

It introduces a renormalization group approach that goes beyond the continuum limit, accounting for irrelevant interactions in the lattice model.

Findings

Identifies phase boundaries influenced by irrelevant interactions.

Shows the impact of momentum-dependent interactions on correlation functions.

Provides a detailed phase diagram for the extended Hubbard model.

Abstract

The phase diagram of the one-dimensional extended Hubbard model at half-filling is investigated by a weak coupling renormalization group method applicable beyond the usual continuum limit for the electron spectrum and coupling constants. We analyze the influence of irrelevant momentum dependent interactions on asymptotic properties of the correlation functions and the nature of dominant phases for the lattice model under study.