Green's function solution of the Kondo problems and universality of the thermodynamic properties
Using a functional derivative approach, we derive for the nondegenerate Anderson model of dilute magnetic alloys a Green's function, which is valid at all temperature and which accurately exhibits the Kondo effect. This is made possible by explicitly satisfying the Baym criterion for the macroscopic conservation of particle-number, momentum and energy - a criterion not satisfied by any of the earlier Green's function treatment of tha Kondo model or the Anderson model. The free energy of the system is calculated and the university of all the thermodynamic properties and the resistivity is analytically demonstrated. The temperature-dependent susceptibility chi(T), specific heat C(T) and resistivity R(T) are calculated and it is found that the universal curves for chi(T) and C(T) are almost indistinguishable from the results of the renormalization group theory. 16 references.
- Research Organization:
- Argonne National Lab., IL (USA)
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 6171848
- Report Number(s):
- CONF-841184-4; ON: DE85002739
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALLOYS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ENERGY
FREE ENERGY
FUNCTIONS
GREEN FUNCTION
KONDO EFFECT
MAGNETIC MATERIALS
MAGNETIC PROPERTIES
MAGNETIC SUSCEPTIBILITY
MATERIALS
PHYSICAL PROPERTIES
RENORMALIZATION
SPECIFIC HEAT
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES