Valence Fluctuations in the Extended Anderson Lattice Model with   Quasiperiodicity
  We study valence fluctuations in the extended Anderson model on two-dimensional Penrose lattice, using the real-space dynamical mean-field theory combined with the continuous-time Monte Carlo method. Calculating $f$-electron number, $c$-$f$ spin correlations, and magnetic susceptibility at each site, we find site-dependent formations of the singlet state and valence distribution at low temperatures, which are reflected by the quasiperiodic lattice structure. The bulk magnetic susceptibility is also addressed. 
Ryu Shinzaki, Joji Nasu, Akihisa Koga
cond-mat.str-el