Thermodynamic properties of the s–f model (spin 7/2, atomic limit)

Abstract

The exact solution of the atomic limit of the s-f model and S = 7/2 is given. The thermodynamic averages ( n t ) , (Sznt), (SznL), (Sz(nt -n&)), <S+aLfa+) are calculated as functions of temperature and for different values of the average electron occupation numbers N . The validity of the factorization of some correlation functions is investigated. It is found that the factorization is acceptable only for low temperature and small values of N .Es werden die exakten Losungen des atomaren Grenzfalls des s -f-Modells und S = 7/2 angegeben. Die thermodynamischen Mittelwerte ( n t ) , (Sznt), <S%+), (Rz(n+ -n+)), ( S + a~a + )werden als Funktionen der Temperatur sowie fur verschiedene Werte der mittleren Elektronenbesetznngszahlen N berechnet. Die Gultigkeit der Faktorisierung einiger Korrelationsfunktionen wird untersucht. Es wird gefunden, daB die Faktorisierung nur fur niedrige Temperaturen und kleine N -Werte akzeptabel ist.

On the Atomic Limit of the s–f Model

“…The numerical calculations of the thermodynamic averages for the atomic limit of the s-f model acl) 620219 Sverdlovsk, GSP 170, USSR. counting for the molecular field are presented in [4]. The thermodynamic properties of the s-f model in the atomic limit have been studied in [ 5 ] .…”

Dynamic Behaviour of the s‐d Model

“…al. [8] obtained the exact solution of the atomic limit of the s-f model and X = 7/2. Nolting and Ole$ [9] proposed a new spectral density approach for determining the electronic quasiparticle spectrum, which takes into account damping by a Gaussian ansatz for the one-electron density.…”