Magnetic phase diagram for a non-extensive system: Experimental connection with manganites

Abstract

In the present paper we make a thorough analysis of a classical spin system, within the framework of Tsallis nonextensive statistics. From the analysis of the generalized Gibbs free energy, within the mean-field approximation, a para-ferromagnetic phase diagram, which exhibits first and second order phase transitions, is built. The features of the generalized, and classical, magnetic moment are mainly determined by the values of $q$, the non-extensive parameter. The model is successfully applied to the case of La${}_{0.60}$Y${}_{0.07}$Ca${}_{0.33}$MnO${}_3$ manganite. The temperature and magnetic field dependence of the experimental magnetization on this manganite are faithfully reproduced. The agreement between rather "exotic" magnetic properties of manganites and the predictions of the $q$-statistics, comes to support our early claim that these materials are magnetically nonextensive objects.

8 pages double column formatted + 13 figures. Submitted to Phys. Rev. B. Version 2 available to suppress technical problems with version 1

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• Physical meaning and measurement of the entropic parameter $q$ in an inhomogeneous magnetic systems
• The interpolation approach to nonextensive quantum systems
• Nonextensive Thermostatistical Approach to the Thermoluminescence Decay
• Low temperature specific heat of glasses: a non-extensive approach
• Nonextensive quantum method for itinerant-electron ferromagnetism: Fractorization approach
• Nonextensive statistical field theory
• Simulation of the two-dimensional Potts model using nonextensive statistics
• Spin-waves in a complex magnetic system: nonextensive approach
• Thermodynamic properties of the solid and metal electrons in the nonextensive quantum statistics with a nonextensive parameter transformation
• Phase diagram of a 2D Ising model within a nonextensive approach
• Nonextensive percolation and Lee-Yang edge singularity from nonextensive $\lambda {\varphi }^3$ scalar field theory
• Non-extensivity in magnetic systems: possible impact on Mossbauer results
• Double-Exchange Model on Triangle Chain