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Heavy-fermion system: An exact many-body solution to a periodic-cluster Hubbard model

Journal Article · · Phys. Rev. B: Condens. Matter; (United States)
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An exact solution of an eight-site crystal model with periodic boundary conditions, a small face-centered-cubic crystal, is presented for the case of a heavy-fermion system. The model consists of (a) a single, fully symmetric orbital per site, with nearest-neighbor and second-nearest-neighbor hopping, (b) an infinite Coulomb repulsion between electrons on the same site, (c) antiferromagnetic superexchange interactions, and (d) a nearly-half-filled band ((7/8 electron per site). Application of group-theoretical techniques yields a set of energies which are at most (analytic) solutions of quadratic equations. Depending on the sign of the nearest-neighbor hopping parameter the ground state exhibits either a huge accidental degeneracy (the heavy-fermion case), or simple, uniform, saturated itinerant ferromagnetism. The model is, at once, easy to handle and yet rich in structure. Fermi-surface, spin-wave, and electron-transport properties are investigated, and consequences for real systems discussed.

Research Organization:
Materials and Chemical Sciences Division, Lawrence Berkeley Laboratory, Berkeley, California 94720
DOE Contract Number:
AC03-76SF00098
OSTI ID:
5156233
Journal Information:
Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 37:10; ISSN PRBMD
Country of Publication:
United States
Language:
English

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Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
ANTIFERROMAGNETISM
BOUNDARY CONDITIONS
COULOMB FIELD
CRYSTAL LATTICES
CRYSTAL STRUCTURE
CUBIC LATTICES
ELECTRIC FIELDS
ELECTRONS
ELEMENTARY PARTICLES
ENERGY LEVELS
EXCHANGE INTERACTIONS
FCC LATTICES
FERMI LEVEL
FERMIONS
GROUP THEORY
INTERACTIONS
LEPTONS
MAGNETISM
MANY-BODY PROBLEM
MATHEMATICS
SPIN WAVES
STRUCTURAL MODELS
TRANSPORT THEORY