Green's function solution of the Kondo problem and universality of the thermodynamic properties (invited)

Journal Article · Mon Apr 15 04:00:00 EST 1985 · J. Appl. Phys.; (United States)

DOI:https://doi.org/10.1063/1.335190· OSTI ID:5817076

Arai, T

Using a functional derivative approach, we derive, for the nondegenerateAnderson model of dilute magnetic alloys, a Green's function, which is valid atall temperatures and which accurately exhibits the Kondo effect. This is madepossible by explicitly satisfying the Baym criterion for the macroscopicconservation of particle-number, momentum and energy: a criterion not satisfied by any of the earlier Green's function treatments of the Kondo model or the Anderson model. The free energy of the system is calculated and the universality of all the thermodynamic properties including resistivity is analytically demonstrated. The temperature-dependent susceptibility chi(T) and specific heat C(T) thus calculated are found to be almost indistinguishable from the results of the renormalization group theory.

• Research Organization: Materials Science and Technology Division, Argonne National Laboratory, Argonne, Illinois 60439
• OSTI ID: 5817076
• Journal Information: J. Appl. Phys.; (United States), Journal Name: J. Appl. Phys.; (United States) Vol. 57:8; ISSN JAPIA
• Country of Publication: United States
• Language: English

Related Subjects

656102* -- Solid State Physics-- Superconductivity-- Acoustic
Electronic
Magnetic
Optical
& Thermal Phenomena-- (-1987)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALLOYS
DILUTE ALLOYS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ENERGY
FREE ENERGY
FUNCTIONS
GREEN FUNCTION
IMPURITIES
KONDO EFFECT
MAGNETIC PROPERTIES
MAGNETIC SUSCEPTIBILITY
PHYSICAL PROPERTIES
SPECIFIC HEAT
THERMODYNAMIC PROPERTIES