skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Fermi-liquid theory for the periodic Anderson model: Response functions

Abstract

We present here a reformulation of the Fermi-liquid theory for the periodic Anderson model (for the particular case of the simplest type of Anderson Hamiltonian) in a basis in which c and f electrons are explicitly distinguished. We show that provided the system is normal, i.e., the f-electron self-energy is analytic in momentum and frequency near the Fermi wave vectors and Fermi energy, respectively, all quasiparticle parts of the response functions of the system reduce to the form as expected from our usual understanding of a Fermi liquid. In doing so we also show the validity of a kinetic equation, and are able to obtain formal formulas for the physical quantities that a quasiparticle carries when the corresponding quantities for the original electrons are given. We point out however that the value of these quantities, and also the nonquasiparticle part of the response, can in general be rather different from a too naive understanding to a single-component Fermi liquid.

Authors:
Publication Date:
Research Org.:
Department of Physics, University of Florida, Gainesville, Florida 32611
OSTI Identifier:
6752135
Resource Type:
Journal Article
Journal Name:
Phys. Rev. B: Condens. Matter; (United States)
Additional Journal Information:
Journal Volume: 38:13
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; FERMI GAS; CRYSTAL MODELS; ELECTRONIC STRUCTURE; GREEN FUNCTION; LANDAU LIQUID HELIUM THEORY; QUASI PARTICLES; RESPONSE FUNCTIONS; FLUIDS; FUNCTIONS; GASES; MATHEMATICAL MODELS; 640460* - Fluid Physics- Other Quantum Fluids

Citation Formats

Yip, S. Fermi-liquid theory for the periodic Anderson model: Response functions. United States: N. p., 1988. Web. doi:10.1103/PhysRevB.38.8785.
Yip, S. Fermi-liquid theory for the periodic Anderson model: Response functions. United States. https://doi.org/10.1103/PhysRevB.38.8785
Yip, S. 1988. "Fermi-liquid theory for the periodic Anderson model: Response functions". United States. https://doi.org/10.1103/PhysRevB.38.8785.
@article{osti_6752135,
title = {Fermi-liquid theory for the periodic Anderson model: Response functions},
author = {Yip, S},
abstractNote = {We present here a reformulation of the Fermi-liquid theory for the periodic Anderson model (for the particular case of the simplest type of Anderson Hamiltonian) in a basis in which c and f electrons are explicitly distinguished. We show that provided the system is normal, i.e., the f-electron self-energy is analytic in momentum and frequency near the Fermi wave vectors and Fermi energy, respectively, all quasiparticle parts of the response functions of the system reduce to the form as expected from our usual understanding of a Fermi liquid. In doing so we also show the validity of a kinetic equation, and are able to obtain formal formulas for the physical quantities that a quasiparticle carries when the corresponding quantities for the original electrons are given. We point out however that the value of these quantities, and also the nonquasiparticle part of the response, can in general be rather different from a too naive understanding to a single-component Fermi liquid.},
doi = {10.1103/PhysRevB.38.8785},
url = {https://www.osti.gov/biblio/6752135}, journal = {Phys. Rev. B: Condens. Matter; (United States)},
number = ,
volume = 38:13,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 1988},
month = {Tue Nov 01 00:00:00 EST 1988}
}