Heavy-fermion state in the Anderson lattice

Journal Article · Mon Sep 01 00:00:00 EDT 1986 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.34.3272· OSTI ID:5451225

Koyama, T; Tachiki, M

To investigate theoretically the heavy-fermion state in cerium and uranium compounds, the low-energy excited states in an Anderson lattice are studied at absolute zero. The coupled Dyson equations for both the Green's functions of the f-italic electron and the spin fluctuations are set up in the case of the finite correlation interaction energy. The vertex functions are approximately determined to fulfill the Ward-Takahashi relations which originate from the spin-rotational invariance, in the low-energy region. In the spectral density of the f-italic-electron Green's function which is numerically calculated, it is found that a sharp peak corresponding to the state of quasifermions with heavy masses appears near the Fermi level, and a broad peak similar to the resonance peak in Kondo impurity systems appears in a relatively-high-energy region. As the temperature increases, the quasifermion peak diminishes and changes to the resonance peak.

• Research Organization: The Research Institute for Iron, Steel and Other Metals, Tohoku University, Katahira 2-1-1, Sendai, Japan
• OSTI ID: 5451225
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Vol. 34:5
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CERIUM COMPOUNDS
EXCITED STATES
URANIUM COMPOUNDS
ABSOLUTE ZERO TEMPERATURE
DYSON REPRESENTATION
GREEN FUNCTION
KONDO EFFECT
VERTEX FUNCTIONS
ACTINIDE COMPOUNDS
BOSON EXPANSION
ENERGY LEVELS
FUNCTIONS
RARE EARTH COMPOUNDS
656000* - Condensed Matter Physics