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Article: Quantum critical point in a periodic Anderson model

TitleQuantum critical point in a periodic Anderson model
Authors
Issue Date2001
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B - Condensed Matter And Materials Physics, 2001, v. 64 n. 19, p. 1951231-1951239 How to Cite?
AbstractWe investigate the symmetric periodic Anderson model (PAM) on a three-dimensional cubic lattice with nearest-neighbor hopping and hybridization matrix elements. Using Gutzwiller's variational method and the Hubbard-III approximation (which corresponds to an exact solution of the appropriate Falicov-Kimball model in infinite dimensions) we demonstrate the existence of a quantum critical point at zero temperature. Below a critical value Vc of the hybridization (or above a critical interaction Uc) the system is an insulator in Gutzwiller's and a semimetal in Hubbard's approach, whereas above Vc (below Uc) it behaves like a metal in both approximations. These predictions are compared with the density of states of the d and f bands calculated from quantum Monte Carlo and numerical renormalization group calculations. Our conclusion is that the half-filled symmetric PAM contains a metal-semimetal transition, not a metal-insulator transition as has been suggested previously.
Persistent Identifierhttp://hdl.handle.net/10722/174814
ISSN
2001 Impact Factor: 3.07
References

 

DC FieldValueLanguage
dc.contributor.authorVan Dongen, Pen_US
dc.contributor.authorMajumdar, Ken_US
dc.contributor.authorHuscroft, Cen_US
dc.contributor.authorZhang, FCen_US
dc.date.accessioned2012-11-26T08:47:36Z-
dc.date.available2012-11-26T08:47:36Z-
dc.date.issued2001en_US
dc.identifier.citationPhysical Review B - Condensed Matter And Materials Physics, 2001, v. 64 n. 19, p. 1951231-1951239en_US
dc.identifier.issn0163-1829en_US
dc.identifier.urihttp://hdl.handle.net/10722/174814-
dc.description.abstractWe investigate the symmetric periodic Anderson model (PAM) on a three-dimensional cubic lattice with nearest-neighbor hopping and hybridization matrix elements. Using Gutzwiller's variational method and the Hubbard-III approximation (which corresponds to an exact solution of the appropriate Falicov-Kimball model in infinite dimensions) we demonstrate the existence of a quantum critical point at zero temperature. Below a critical value Vc of the hybridization (or above a critical interaction Uc) the system is an insulator in Gutzwiller's and a semimetal in Hubbard's approach, whereas above Vc (below Uc) it behaves like a metal in both approximations. These predictions are compared with the density of states of the d and f bands calculated from quantum Monte Carlo and numerical renormalization group calculations. Our conclusion is that the half-filled symmetric PAM contains a metal-semimetal transition, not a metal-insulator transition as has been suggested previously.en_US
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_US
dc.relation.ispartofPhysical Review B - Condensed Matter and Materials Physicsen_US
dc.titleQuantum critical point in a periodic Anderson modelen_US
dc.typeArticleen_US
dc.identifier.emailZhang, FC: fuchun@hkucc.hku.hken_US
dc.identifier.authorityZhang, FC=rp00840en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0035891220en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035891220&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume64en_US
dc.identifier.issue19en_US
dc.identifier.spage1951231en_US
dc.identifier.epage1951239en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridVan Dongen, P=7006284300en_US
dc.identifier.scopusauthoridMajumdar, K=7101739384en_US
dc.identifier.scopusauthoridHuscroft, C=6602611692en_US
dc.identifier.scopusauthoridZhang, FC=14012468800en_US

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