https://doi.org/10.1007/s100510050370
A theory of double exchange in infinite dimensions
Institute of Metal Physics, Ural division
of Russian Academy of Sciences, Kovalevskaya str. 18,
Ekaterinburg 620219, Russia
Corresponding author: a Barri.Letfulov@imp.uran.ru
Received:
24
January
1997
Revised:
18
August
1997
Revised:
14
February
1997
Accepted:
25
August
1997
Published online: 15 July 1998
This paper gives a simplified model of the
double exchange which is a
kind of indirect exchange interaction between localized magnetic moments.
The presented model is solved exactly in the case of infinite -dimensional
space. Equations for single-particle Green's function and magnetization
of the localized spins subsystem are obtained. It is shown that
our simple double
exchange model reveals an instability to the ferromagnetic ordering
of localized moments. Magnetic and electric properties of this system
on Bethe lattice with 
are investigated in detail.
PACS: 71.27.+a – Strongly correlated electron systems; heavy fermions / 68.35.Rh – Phase transitions and critical phenomena / 72.10.-d – Theory of electronic transport; scatering mechanisms
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
