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The Geometries of Triangular Magnetic Lattices

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Introduction to Frustrated Magnetism

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 164))

Abstract

A survey of the crystal structures of materials that are currently being studied in the context of geometric magnetic frustration in triangular lattices is presented, based on a purely geometrical picture of their magnetic lattices. Two-dimensional materials are first described, followed by three dimensional materials of increasing structural complexity. When known, both transition metal and rare earth based examples within a lattice type are noted. The ideal cases are described, as well as the geometries that are found in some materials for which ideal triangular symmetry is broken in different ways. A brief description of materials preparation and crystal growth is also presented.

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Author information

Authors and Affiliations

  1. Department of Chemistry, Princeton University, Princeton, NJ, 08540, USA

    Robert J. Cava, Katharine L. Holman, Eric J. Welsh & Anthony J. Williams

  2. Department of Chemistry and Department of Physics and Astronomy, Johns Hopkins University, 3400 N. Charles St, Baltimore, MD, 21218, USA

    Tyrel McQueen

  3. Department of Materials Science, University of Pennsylvania, 3231Walnut St, Philadelphia, PA, 19104, USA

    D. Vincent West

Authors
  1. Robert J. Cava
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  2. Katharine L. Holman
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  3. Tyrel McQueen
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  4. Eric J. Welsh
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  5. D. Vincent West
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  6. Anthony J. Williams
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Correspondence to Robert J. Cava .

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Editors and Affiliations

  1. Laboratoire Louis Néel, CNRS, Grenoble CX, France

    Claudine Lacroix

  2. CNRS, Labo. Physique Solides, Université Paris-Sud XI, Orsay CX, 91405, France

    Philippe Mendels

  3. Inst. Physique Théorique, Ecole Polytechnique Fédérale de Lausanne, Lausanne, 1015, Switzerland

    Frédéric Mila

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Cava, R.J., Holman, K.L., McQueen, T., Welsh, E.J., West, D.V., Williams, A.J. (2011). The Geometries of Triangular Magnetic Lattices. In: Lacroix, C., Mendels, P., Mila, F. (eds) Introduction to Frustrated Magnetism. Springer Series in Solid-State Sciences, vol 164. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10589-0_6

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  • DOI: https://doi.org/10.1007/978-3-642-10589-0_6

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