A strong coupling theory for electron-mediated interactions in double-exchange models

Abstract

We present a theoretical framework for evaluating effective interactions between localized spins mediated by itinerant electrons in double-exchange models. Performing the expansion with respect to the spin-dependent part of the electron hopping terms, we show a systematic way of constructing the effective spin model in the large Hund's coupling limit. As a benchmark, we examine the accuracy of this method by comparing the results with the numerical solutions for the spin-ice type model on a pyrochlore lattice. We also discuss an extension of the method to the double-exchange models with Heisenberg and $XY$ localized spins.

8 pages, 6 figures

References in corpus (5)

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Cited by in corpus (5)

• Effective spin model in momentum space: Toward a systematic understanding of multiple-$Q$ instability by momentum-resolved anisotropic exchange interactions
• Arrested phase separation in double-exchange models: machine-learning enabled large-scale simulation
• Colossal enhancement of spin-chirality-related Hall effect by thermal fluctuation
• Noncollinear magnetic ordering in a frustrated magnet: Metallic regime and the role of frustration
• Color ice states, weathervane modes, and order by disorder in the bilinear-biquadratic pyrochlore Heisenberg antiferromagnet