Theory of heavy fermion systems

Miscellaneous · Fri Jan 01 00:00:00 EST 1988

OSTI ID:6903257

Won, H

Within the last few years a number of rare-earth and actinide based metallic compounds have been found to behave as heavy fermion systems. That is, whereas above some characteristic temperature T{sub K} the physical properties of these systems are typical of independent local moments below T{sub K} the constant magnetic susceptibility {Chi}{sub 0} and specific heat proportional to T suggest a non-magnetic metallic state. However {chi}{sub 0} and the coefficient {gamma} of the linear term in the specific heat are very large, 100 {approximately} 1000 times larger than in simple metals, hence the term heavy fermions. The infinite U Anderson model was introduced to describe a system in which the localized f-electrons of an impurity atom hybridize with a band of conduction electrons; U is the strength of the on-site Coulomb interaction. We review a functional integral formulation of this model in which auxiliary boson fields are introduced to generate a (1/N) expansion (N; degeneracy of the f-level) about a local Fermi liquid theory which is derived at the mean field level. We calculate for the first time analytically the low temperature transport coefficients of the Anderson impurity model to order 1/N and give a new exact results for the thermopower.

• Research Organization: Brown Univ., Providence, RI (USA)
• OSTI ID: 6903257
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
36 MATERIALS SCIENCE
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
FERMIONS
MATHEMATICAL MODELS
METALS
ACTINIDES
CALCULATION METHODS
COULOMB FIELD
DATA ANALYSIS
RARE EARTHS
THEORETICAL DATA
DATA
ELECTRIC FIELDS
ELEMENTS
INFORMATION
NUMERICAL DATA
640300* - Atomic
Molecular & Chemical Physics
360104 - Metals & Alloys- Physical Properties
990200 - Mathematics & Computers