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Magnetic orderings and phase separations in a simple model of insulating systems

Author

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  • Kapcia, Konrad Jerzy
  • Murawski, Szymon
  • Kłobus, Waldemar
  • Robaszkiewicz, Stanisław

Abstract

A simple effective model for a description of magnetically ordered narrow-band insulators is studied. The Hamiltonian considered consists of the effective on-site interaction (U) and intersite magnetic exchange interactions (Jz, Jxy) between nearest-neighbours. The phase diagrams and properties of this model for arbitrary chemical potential μ and arbitrary electron density n have been determined within several approaches: (i) the variational method (which treats the on-site interaction term exactly and the intersite interactions within the mean-field approximation) for any Jz,Jxy≠0 (exact in the limit of infinite dimensions), (ii) the Monte Carlo simulations on a square lattice with periodic boundary conditions for Jxy=0, and (iii) other approximate methods (inter alia: random phase approximation and spin-wave approximation) as well as (iv) rigorous treatment to obtain results concerning the ground state phase diagrams (the two last also for Jz,Jxy≠0). The investigations of the general case show that, depending on the values of interaction parameters and electron concentration n, the system can exhibit not only homogeneous phases: (anti-)ferromagnetic (Fα, α=z,xy) and nonordered (NO), but also phase separated states (PSα: Fα/NO). For a fixed n one finds the following phase transitions (both continuous and discontinuous ones) and their sequences, which can occur with increasing temperature: Fα→NO, PSα→NO, PSα→Fα→NO, PSα→Fα→PSα→NO. The system analysed exhibits also tricritical behaviour.

Suggested Citation

  • Kapcia, Konrad Jerzy & Murawski, Szymon & Kłobus, Waldemar & Robaszkiewicz, Stanisław, 2015. "Magnetic orderings and phase separations in a simple model of insulating systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 218-234.
    • Handle: RePEc:eee:phsmap:v:437:y:2015:i:c:p:218-234
    DOI: 10.1016/j.physa.2015.05.074
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    Cited by:

    1. Kapcia, Konrad Jerzy & Robaszkiewicz, Stanisław, 2016. "On the phase diagram of the extended Hubbard model with intersite density–density interactions in the atomic limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 487-497.

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