2011/11/01 by Vasil Michev, Naoum Karchev
Chemistry · Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Chemistry #Condensed matter physics #Curie temperature #Exchange interaction #Ferromagnetism #Heisenberg model #Ion #Jahn–Teller effect #Magnetic and transport properties of perovskites and related materials #Magnetic field #Magnetization #Magnon #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Rare-earth and actinide compounds #cond-mat.str-el
paper · pdf · doi:10.1140/epjb/e2012-30173-4
published as Eur. Phys. J. B (2012) 85: 177 · 13 pages, 5 figures
arxiv created 2011/11/01 · openalex publication_date 2012/05/30 · arxiv updated 2012/07/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The phase diagram of the multivalent manganites \rm La1-xCaxMnO3, in space of temperature and doping x, is a challenge for the theoretical physics. It is an important test for the model used to study these compounds and the method of calculation. To obtain theoretically this diagram for x<0.5, we consider the two-band Double Exchange Model for manganites with added Jahn-Teller coupling and antiferromagnetic Heisenberg term. In order to calculate Curie and Néel temperatures we derive an effective Heisenberg model for a vector which describes the local orientation of the total magnetization of the system. The exchange constants of this model are different for different space directions and depend on the density of eg electrons, antiferromagnetic constants and the Jahn-Teller energy. To reproduce the well known phase transitions from A-type antiferromagnetism to ferromagnetism at low x and C-type antiferromagnetism to G-type antiferromagnetism at large x, we argue that the antiferromagnetic exchange constants should depend on the lattice direction. We show that ferromagnetic to A-type antiferromagnetic transition results from the Jahn-Teller distortion. Accounting adequately for the magnon-magnon interaction, Curie and Néel temperatures are calculated. The results are in very good agreement with the experiment and provide values for the model parameters, which best describe the behavior of the critical temperature for x<0.5.