Publication : t04/057
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:Année de publication : 2005
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.
Revue : Phys. Rev. B 71 037102 (2005)
DOI : 10.1103/PhysRevB.71.037102
Preprint : 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
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publi.pdf
