Quantum criticality and first-order transitions in the extended periodic Anderson model

We investigate the behavior of the periodic Anderson model in the presence of d-[functionof] Coulomb interaction (Ud[functionof]) using mean-field theory, variational calculation, and exact diagonalization of finite chains. The variational approach based on the Gutzwiller trial wave function gives a...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2013-03, Vol.87 (12), Article 125146
Main Authors: Hagymási, I., Itai, K., Sólyom, J.
Format: Article
Language:English
Subjects:
Condensed matter
Coulomb friction
Critical point
Exponents
Mathematical analysis
Mathematical models
Wave functions
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Summary:We investigate the behavior of the periodic Anderson model in the presence of d-[functionof] Coulomb interaction (Ud[functionof]) using mean-field theory, variational calculation, and exact diagonalization of finite chains. The variational approach based on the Gutzwiller trial wave function gives a critical value of Ud[functionof] and two quantum critical points (OCRs), where the valence susceptibility diverges. We derive the critical exponent for the valence susceptibility and investigate how the position of the QCP depends on the other parameters of the Hamiltonian. For larger values of Ud[functionof], the Kondo regime is bounded by two first-order transitions. These first-order transitions merge into a triple point at a certain value of Ud[functionof]. For even larger Ud[functionof] valence skipping occurs. Although the other methods do not give a critical point, they support this scenario.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.87.125146