Distributed Hybridization Model for Quantum Critical Behavior in Magnetic Quasicrystals
arXiv:1605.06241 · doi:10.7566/JPSJ.85.073712
Abstract
A quantum critical behavior of the magnetic susceptibility was observed in a quasicrystal containing ytterbium. At the same time, a mixed-valence feature of Yb ions was reported, which appears to be incompatible with the magnetic instability. We derive the magnetic susceptibility by expressing the quasiperiodicity as the distributed hybridization strength between Yb 4f and conduction electrons. Assuming a wide distribution of the hybridization strength, the most f electrons behave as renormalized paramagnetic states in the Kondo or mixed-valence regime, but a small number of f moments remain unscreened. As a result, the bulk magnetic susceptibility exhibits a nontrivial power-law-like behavior, while the average f-electron occupation is that of mixed-valence systems. This model thus resolves two contradictory properties of Yb quasicrystals.
4 pages, 5 figures
References in corpus (8)
- Continuous-time Monte Carlo methods for quantum impurity models
- Quantum critical state in a magnetic quasicrystal
- Competition between Anderson localization and antiferromagnetism in correlated lattice fermion systems with disorder
- Non-Fermi-Liquid Behavior in Metallic Quasicrystals with Local Magnetic Moments
- Valence Fluctuations and Electric Reconstruction in the Extended Anderson Model on the Two-Dimensional Penrose Lattice
- Local Electron Correlations in a Two-dimensional Hubbard Model on the Penrose Lattice
- Influence of disorder on the transport properties of heavy-fermion systems
- Effect of Disorder on Fermi surface in Heavy Electron Systems