Flow of the quasiparticle weight in the N-patch renormalization group scheme

TL;DR

This paper uses the N-patch renormalization group method to analyze how quasiparticle weight evolves in Hubbard models across different dimensions, providing insights into superconductivity.

Contribution

It applies the N-patch RG scheme to study quasiparticle weight flow in various Hubbard models, highlighting effects of band structure and interchain hopping.

Findings

Reproduces Luttinger exponent in 1D

Shows quasiparticle suppression does not alter flow to strong coupling in 2D

Supports d-wave superconductivity in weakly repulsive Hubbard model

Abstract

Using the N-patch renormalization group method we investigate the flow of the quasiparticle weight in one-dimensional, weakly two-dimensional and fully two-dimensional Hubbard models. In one dimension we reproduce the Luttinger exponent that describes the disappearance of the quasiparticle peak towards lower scales. Further we analyze effects of the band structure, interchain hopping and the flow of the interactions in quasi-one-dimensional models. For the two-dimensional case we study how the suppression of the quasiparticle weight affects the flow to strong coupling. We find that the flow to strong coupling remains essentially unchanged. This strengthens the evidence for d-wave superconductivity in the weakly repulsive Hubbard model.