Transition temperature and magnetoresistance in double-exchange compounds with moderate disorder
Abstract
We develop a variational mean-field theory of the ferromagnetic transition in compounds like lanthanum-manganite within the framework of the double-exchange model supplemented by modest disorder. We obtain analytical expressions for the transition temperature, its variation with the valence electron density, and its decrease with disorder. We derive an expression for the conductivity for both the paramagnetic and the ferromagnetic metallic phases, and study its dependence on the temperature and magnetic field. A simple relation between the resistivity in the ferromagnetic phase and the spontaneous magnetization is found. Our results are in a good agreement with the experimental data on transition temperatures and resistivity in the manganite compounds with relatively small disorder. We comment on the effects of increased disorder.
- Publication:
-
Physical Review B
- Pub Date:
- December 2001
- DOI:
- 10.1103/PhysRevB.65.024429
- arXiv:
- arXiv:cond-mat/0002191
- Bibcode:
- 2001PhRvB..65b4429N
- Keywords:
-
- 75.30.Kz;
- 72.15.Gd;
- 75.30.Vn;
- Magnetic phase boundaries;
- Galvanomagnetic and other magnetotransport effects;
- Condensed Matter - Materials Science;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- doi:10.1103/PhysRevB.65.024429