The Role of the Kondo and Phonon Correlations in the Cerium Volume Collapse

ORAL

Abstract

We review the most recent experimental and theoretical progress of the $\alpha \leftrightarrow \gamma$ volume collapse occurring in the element cerium. We discuss the experimental results which have been important in differentiating the various electronic and phononic properties of the volume collapse of cerium, these experiments illustrate that drastically different electronic and phononic properties exist between the small volume phase $\alpha$ and large volume phase $\gamma$ of cerium. After interpreting the physical data and realizing that the volume collapse in cerium is primarily the result of different electronic and vibronic correlations in the $\alpha$ and $\gamma$ phases we set up a Hamiltonian which encompasses the physical properties of the collapse. To model the electronic and phononic properties of the $\alpha \leftrightarrow \gamma$ transition of cerium we use the Periodic Anderson Model (PAM) + Holstein Model, with the aim that the Kondo like electronic correlations of the $\alpha$ phase is encoded in the PAM where the large vibronic physics of the $\gamma$ phase is encompassed in the Holstein Model which incorporates a conduction electron-phonon mediated interaction.

*This work was supported by NSF through OISE-0952300 and DMR-0548011.

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Authors

  • Peter Reis

    • Louisiana State University

  • Peng Zhang

    • Department of Physics, Louisiana State University, LA
    • Louisiana State University

  • Ka-Ming Tam

    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
    • Louisiana State University (LSU)
    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics \& Astronomy, Louisiana State University

  • Juana Moreno

    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA
    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA
    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics \& Astronomy, Louisiana State University

  • Mark Jarrell

    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803, USA
    • Louisiana State University
    • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA
    • Louisiana State University (LSU)
    • Department of Physics and Astronomy, Louisiana State University
    • Department of Physics \& Astronomy, Louisiana State University

  • Fakher F. Assaad

    • University of Wuerzburg
    • Institute for Theoretical Physics and Astrophysics, University of Wuerzburg

  • Andy Mcmahan

    • Lawrence Livermore National Lab