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Valence fluctuations and electric reconstruction in the extended Anderson model on the two-dimensional Penrose lattice

Shinichi Takemura, Nayuta Takemori, and Akihisa Koga
Phys. Rev. B 91, 165114 – Published 9 April 2015
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  • INTRODUCTION
  • MODEL AND METHOD
  • RESULTS
  • CONCLUSIONS
  • ACKNOWLEDGMENTS
    • References

    Abstract

    We study the extended Anderson model on the two-dimensional Penrose lattice, combining the real-space dynamical mean-field theory with the noncrossing approximation. It is found that the Coulomb repulsion between localized and conduction electrons does not induce a valence transition, but the crossover between the Kondo and mixed valence states is in contrast to the conventional periodic system. In the mixed-valence region close to the crossover, nontrivial valence distributions appear, characteristic of the Penrose lattice, demonstrating that the mixed-valence state coexists with local Kondo states in certain sites. The electric reconstruction in the mixed valence region is also addressed.

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    • Received 10 February 2015
    • Revised 26 March 2015

    DOI:https://doi.org/10.1103/PhysRevB.91.165114

    ©2015 American Physical Society

    Authors & Affiliations

    Shinichi Takemura, Nayuta Takemori, and Akihisa Koga

    • Department of Physics, Tokyo Institute of Technology, Meguro-ku, Tokyo 152-8551, Japan

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    Issue

    Vol. 91, Iss. 16 — 15 April 2015

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    Images

    • Figure 1
      Figure 1

      Penrose lattice with N=4181.

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    • Figure 2
      Figure 2

      DOS for the f electrons (a) and conduction electrons (b) in the noninteracting system with εf=0 and V/t=0.5. Panel (c) represents the corresponding integrated DOS.

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    • Figure 3
      Figure 3

      Distribution of the number of f electrons (a) and valence susceptibility (b) as functions of the energy of the f level in the system with N=1591 at temperature T/t=0.2 when Ucf/t=0, 16, and 36.

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    • Figure 4
      Figure 4

      Density plot of the standard deviation for the valence nf in the system with T/t=0.2 and N=1591. The dashed line represents the crossover between the Kondo and mixed valence regions.

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    • Figure 5
      Figure 5

      (a) The number of f electrons as a function of the temperature T/t when εf/t=−5, Ucf/t=10, and N=4181. (b) and (c) show the cross sections of the valence distribution at T/t=10 and 1. (d) and (e) show the cross sections at low temperatures with Z=5 and Z=4, respectively.

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    • Figure 6
      Figure 6

      (a) Classification of vertices in the Penrose lattice. The number represents the coordination number for each vertex. Detailed classification of vertices with Z=5 (b) and Z=4 (c).

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    • Figure 7
      Figure 7

      Profiles of the quantity log10Ik in the system (N=4181) with εf/t=−5 and Ucf/t=10 when T/t=0.2 (left panel) and T/t=1.0 (right panel).

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