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

Hagymási, Imre and Itai, Kazumasa and Sólyom, Jenő (2013) Quantum criticality and first-order transitions in the extended periodic Anderson model. PHYSICAL REVIEW B, 87 (12). ISSN 2469-9950

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Abstract

We investigate the behavior of the periodic Anderson model in the presence of d-f Coulomb interaction (Udf ) 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 Udf and two quantum critical points (QCPs), 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 Udf , the Kondo regime is bounded by two first-order transitions. These first-order transitions merge into a triple point at a certain value of Udf . For even larger Udf valence skipping occurs. Although the other methods do not give a critical point, they support this scenario.

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