The ground state construction of the two-dimensional Hubbard model on the honeycomb lattice
The ground state construction of the two-dimensional Hubbard model on the honeycomb lattice
The fermionic Hubbard model on the two-dimensional hexagonal lattice at half-filling is the simplest model for undoped single layer graphene with screened interactions. It is remarkable that, in the weak coupling regime, the ground state thermodynamic functions and the equilibrium correlations can be fully constructed (in the form of convergent resummed series in the coupling strength) by rigorous renormalization group methods. This chapter presents a self-contained proof of the analyticity of the specific ground state energy and it reviews the relevant multiscale cluster expansion methods, which are of growing importance in the condensed matter community and, in particular, in the study of interaction effects in graphene.
Keywords: graphene, Hubbard model, renormalization group, cluster expansion
Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.
Please, subscribe or login to access full text content.
If you think you should have access to this title, please contact your librarian.
To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .
