Absence of Hybridization Gap in Heavy Electron Systems and Analysis of YbAl3 in terms of Nearly Free Electron Conduction Band

Abstract

In the analysis of the heavy electron systems, theoretical models with c-f hybridization gap are often used. We point out that such a gap does not exist and the simple picture with the hybridization gap is misleading in the metallic systems, and present a correct picture by explicitly constructing an effective band model of YbAl_3. Hamiltonian consists of a nearly free electron model for conduction bands which hybridize with localized f-electrons, and includes only a few parameters. Density of states, Sommerfeld coefficient, f-electron number and optical conductivity are calculated and compared with the band calculations and the experiments.

arXiv comment9 pages, 9 figures, submitted to J. Phys. Soc. Jpn

References in corpus (11)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Universality in heavy-fermion systems with general degeneracy
• A Theory of Anisotropic Semiconductor of Heavy Fermions
• Generalized Kadowaki-Woods Relation in Heavy Fermion Systems with Orbital Degeneracy
• Universal scaling in the dynamical conductivity of heavy fermion Ce and Yb compounds
• Pseudogap Formation and Heavy Carrier Dynamics in Intermediate Valence YbAl3
• Formation Mechanism of Hybridization Gap in Kondo Insulators based on a Realistic Band Model and Application to YbB${}_{12}$
• Field dependent effective masses in YbAl${}_3$
• Magnetic Susceptibility of the Orbitally Degenerate (J= 5/2) Periodic Anderson Model - Analysis on the Basis of the Fermi Liquid Theory
• Calculation of Optical Conductivity of YbB${}_{12}$ using Realistic Tight-Binding Model
• Theory for Magnetic Anisotropy of Field-Induced Insulator-to-Metal Transition in Cubic Kondo Insulator YbB_{12}

Cited by in corpus (5)

• Origin of Middle-Infrared Peaks in Cerium Compounds
• Origin of infrared peaks in the optical conductivity of ytterbium compounds
• Contrasting pressure evolutions of $f$ electron hybridized states in CeRhIn${}_5$ and YbNi${}_3$Ga${}_9$: an optical conductivity study
• Phonons, Q-dependent Kondo spin fluctuations, and 4$\text{f}$/phonon resonance in YbAl${}_3$
• Specific Heat-Coefficient of YbAl3 Studied by Combined Nearly Free Electron Conduction Band Hybridized with Localized f Electrons with Correlation Effect