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- Publisher Website: 10.1103/PhysRevB.64.195123
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Article: Quantum critical point in a periodic Anderson model
Title | Quantum critical point in a periodic Anderson model |
---|---|
Authors | |
Issue Date | 2001 |
Publisher | American Physical Society. The Journal's web site is located at http://prb.aps.org/ |
Citation | Physical Review B (Condensed Matter), 2001, v. 64 n. 19, article no. 195123 , p. 1-9 How to Cite? |
Abstract | We 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 Identifier | http://hdl.handle.net/10722/174814 |
ISSN | |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Van Dongen, P | en_US |
dc.contributor.author | Majumdar, K | en_US |
dc.contributor.author | Huscroft, C | en_US |
dc.contributor.author | Zhang, FC | en_US |
dc.date.accessioned | 2012-11-26T08:47:36Z | - |
dc.date.available | 2012-11-26T08:47:36Z | - |
dc.date.issued | 2001 | en_US |
dc.identifier.citation | Physical Review B (Condensed Matter), 2001, v. 64 n. 19, article no. 195123 , p. 1-9 | - |
dc.identifier.issn | 0163-1829 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/174814 | - |
dc.description.abstract | We 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.language | eng | en_US |
dc.publisher | American Physical Society. The Journal's web site is located at http://prb.aps.org/ | en_US |
dc.relation.ispartof | Physical Review B (Condensed Matter) | - |
dc.title | Quantum critical point in a periodic Anderson model | en_US |
dc.type | Article | en_US |
dc.identifier.email | Zhang, FC: fuchun@hkucc.hku.hk | en_US |
dc.identifier.authority | Zhang, FC=rp00840 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1103/PhysRevB.64.195123 | - |
dc.identifier.scopus | eid_2-s2.0-0035891220 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0035891220&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 64 | en_US |
dc.identifier.issue | 19 | en_US |
dc.identifier.spage | article no. 195123, p. 1 | - |
dc.identifier.epage | article no. 195123, p. 9 | - |
dc.identifier.isi | WOS:000172307900057 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Van Dongen, P=7006284300 | en_US |
dc.identifier.scopusauthorid | Majumdar, K=7101739384 | en_US |
dc.identifier.scopusauthorid | Huscroft, C=6602611692 | en_US |
dc.identifier.scopusauthorid | Zhang, FC=14012468800 | en_US |
dc.identifier.issnl | 0163-1829 | - |