Reply to ``Comment on `Cluster methods for strongly correlated electron systems'"
Biroli G. (
CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Kotliar G. (
Center for Materials Theory, Department of Physics and Astronomy, Rutgers University, 136 Frelinghuysen Road, Piscataway, New Jersey 08854, USA)
Abstract:
We reply to the comment by K. Aryanpour, Th. Maier and M. Jarrell
(cond-mat/0301460) on our paper (Phys. Rev. B {\bf 65} 155112 (2002)).
We demonstrate using general arguments and explicit examples that
whenever the correlation length is finite, local observables converge
exponentially fast in the cluster size, $L_{c}$, within Cellular
Dynamical Mean Field Theory (CDMFT). This is a faster rate of
convergence than the $1/L_{c}^{2}$ behavior of the Dynamical Cluster
approximation (DCA) thus refuting the central assertion of their
comment.
Année de publication : 2005
Revue : Phys. Rev. B
71 037102 (2005)
DOI :
10.1103/PhysRevB.71.037102Preprint :
arXiv:cond-mat/0404537 Lien :
http://link.aps.org/abstract/PRB/v71/p037102 Langue : Anglais
NB : [4 pp.] Exponential convergence of cellular dynamical mean field theory
Fichier(s) à télécharger : publi.pdf