Abstract
This chapter is devoted to introduce the models and methods we employed in this thesis. We consider Ising-spin Kondo lattice models on frustrated lattices, such as triangular, kagome, and pyrochlore lattices. A strong coupling limit of the Kondo lattice model, double-exchange model, is also introduced. The magnetic and transport properties of these models are numerically studied by using Monte Carlo simulations and variational calculation. Details of these methods are also explained in this chapter. In addition to the numerical calculations on Kondo lattice models, a perturbation approach for deducing the effective spin-spin interactions in the double-exchange models are also explained.
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Notes
- 1.
In principle, the perturbation expansion can also be done by considering the complex hopping. However, for simplicity, we used the approximation in Eq. (2.25).
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Ishizuka, H. (2015). Models and Methods. In: Magnetism and Transport Phenomena in Spin-Charge Coupled Systems on Frustrated Lattices. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55663-3_2
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DOI: https://doi.org/10.1007/978-4-431-55663-3_2
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