1. Effective self-consistent field and phase transitions in the t-J model
- Author
-
É. E. Zubov
- Subjects
Phase transition ,Materials science ,Internal energy ,Condensed matter physics ,Condensed Matter Physics ,Electronic, Optical and Magnetic Materials ,Paramagnetism ,Ferromagnetism ,Quantum mechanics ,t-J model ,Antiferromagnetism ,Condensed Matter::Strongly Correlated Electrons ,Perturbation theory ,Néel temperature - Abstract
The influence of the kinematic interaction and the indirect exchange of electrons on the magnetic structure of a narrow-gap Hubbard magnet is investigated using the diagram technique of the perturbation theory. The summation of an infinite series of like diagrams makes it possible to separate the effective self-consistent filed. In contrast to the previous studies, the proposed theory contains only two self-consistent parameters, i.e., the chemical potential and the average spin. The obtained system of equations for these parameters admits the analytical solution at zero temperature. The competition of the simplest kinematic contribution and the indirect antiferromagnetic exchange is clearly demonstrated using the concentration dependences of the Neel temperature as an example. The boundaries of the existence of the homogeneous ferromagnetic, antiferromagnetic, and paramagnetic phases as a function of the electron concentration and the indirect exchange parameter are determined by numerically analyzing the internal energy.
- Published
- 2009
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