Journal of Low Temperature Physics

, Volume 196, Issue 1–2, pp 155–162 | Cite as

Quasiperiodicity and Valence Fluctuation in the Spin-1/2 Falicov–Kimball Model

  • Joji Nasu
  • Ryu Shinzaki
  • Akihisa KogaEmail author


We study the spin-1/2 Falicov–Kimball model with conduction and localized f electrons on the Penrose lattice using the real-space dynamical mean-field theory. By changing the f electron level, the f electron density at each site changes continuously, in contrast to periodic systems with first-order valence transitions. In the intermediate valence regime, the local f electron number strongly depends on a wider range of the Penrose structure surrounding its lattice site, in spite of the local interaction between the conduction and f electrons. The temperature dependence of the magnetic response is also discussed.


Quasiperiodic systems Falicov–Kimball model Valence fluctuations 



This work is supported by Grant-in-Aid for Scientific Research from JSPS, KAKENHI Grant Nos. JP16K17747(J.N.) and JP17K05536 (A.K.). Parts of the numerical calculations were performed in the supercomputing systems in ISSP, the University of Tokyo.


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of PhysicsTokyo Institute of TechnologyMeguroJapan

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