Fermi liquid behavior in the 2D Hubbard model at low temperatures
type: Item
instance of: scholarly article
title: Fermi liquid behavior in the 2D Hubbard model at low temperatures
zbMATH Open document ID: 1137.82004
author: Giuseppe Benfatto
author: A. Giuliani
author: Vieri Mastropietro
published in: Annales Henri Poincaré
publication date: 2008-01-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/cond-mat/0507686
review text: The 2D Hubbard model is (probably) the simplest model which involves electron correlations. There remains many open questions about it, and one of them is related to the Fermi liquid or non Fermi liquid behaviour of the model. The main goal of the paper is to study this question, and, loosely speaking, it shows that for chemical potential smaller than two, the weak coupling 2D Hubbard model is a Fermi liquid up to infinitely small temperature and whichever the sign of the interaction. The proof of this result is (very) long, it is the article as the whole, and is based on Grassmann functional integrals, Schwinger function and Renormalization Group which hold on the assumption of smallness and smoothness on some parameters. The latter property is proven by iterative argument.
Mathematics Subject Classification ID: 82B10
Mathematics Subject Classification ID: 82B28
zbMATH DE Number: 5224496
zbMATH Keywords: Fermi liquid
zbMATH Keywords: Hubbard model
zbMATH Keywords: low temperature
zbMATH Keywords: Schwinger function
zbMATH Keywords: renormalization
reviewed by: Guy Jumarie
MaRDI profile type: Publication
OpenAlex ID: W3100481790
arXiv ID: cond-mat/0507686
DOI: 10.1007/S00023-006-0270-Z
description: scientific article