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Numerical Simulations of Frustrated Systems

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Introduction to Frustrated Magnetism

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

Abstract

In many fields of science, computational approaches have become one of the central cornerstones alongside experimental and theoretical approaches. This is also the case in the field of frustrated magnetic systems, where theory, simulations, and experiments drive each other mutually, thus advancing our overall understanding. This chapter aims to provide an overview of the most common numerical techniques available for strongly correlated lattice models, with an emphasis on frustrated spin systems. While it is not possible to treat all methods in sufficient depth to provide a comprehensive introduction, here the key ideas are presented and special issues regarding their application to frustrated systems are discussed. The power of these techniques is illustrated by examples taken from the literature, and specific references to appropriate detailed presentations are included where possible.

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  1. Max Planck Institut fur Physik komplexer Systeme, Nothnitzer Strasse 38, 01187, Dresden, Germany

    Andreas M. Läuchli

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  1. Andreas M. Läuchli
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  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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Läuchli, A.M. (2011). Numerical Simulations of Frustrated Systems. 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_18

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