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Magnetism and Transport Phenomena in Spin-Charge Coupled Systems on Frustrated Lattices pp 1–26Cite as

Introduction

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Part of the book series: Springer Theses ((Springer Theses))

Abstract

Physics of spin-charge coupled systems, systems with itinerant electrons and localized moments that interact with each other, is one of the major topics in the field of strongly correlated electrons. In these systems, the itinerant electrons mediate effective interactions between the localized moments giving rise to rich magnetic behaviors in some of the metallic magnets. Meanwhile, the scattering from localized moments may strongly affects electronic structure of itinerant electrons, inducing unconventional electronic states and transport phenomena. Among various materials of this class, recently, metallic magnets on pyrochlore and triangular lattices have gained interest for there unusual magnetic and transport properties observed in several materials. In these materials, along with the spin-charge coupling, geometrical frustration potentially plays an important roles. In this chapter, we review basic aspects of the spin-charge coupled systems and geometrical frustration.

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Notes

  1. 1.

    Hall effect induced by spin textures in weak coupling limit was also discussed in Ref. [50].

  2. 2.

    For the origin of the anomalous Hall effect of Nd\(_2\)Mo\(_2\)O\(_7\), there is also another theoretical proposal based on the orbital Berry phase [52].

  3. 3.

    The two-in two-out constraint is called ice rule after its discovery in the study of water ice, where the proton configuration is subject to the equivalent local constraint [5, 38].

  4. 4.

    This situlation is sometimes called as the cooperative paramagnet [56].

  5. 5.

    We also note that, in these studies, there was some disagreement on the overall structure of the phase diagram. However, all these studies consistently claimed that the high-T phase transition is of a Kosterlitz-Thouless type. For further details, see Ref. [24].

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  1. Department of Applied Physics, The University of Tokyo, Tokyo, Japan

    Hiroaki Ishizuka

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  1. Hiroaki Ishizuka
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Ishizuka, H. (2015). Introduction. 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_1

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