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Neutron Scattering Experiments on Two-Dimensional Heisenberg and Ising Magnets

  • Chapter
Magnetic Properties of Layered Transition Metal Compounds

Part of the book series: Physics and Chemistry of Meterials with Low-Dimensional Structures ((PCMALS,volume 9))

Abstract

Two-dimensional (2-d) magnetic systems show a variety of properties depending on the symmetry in the spin space, the interaction range, the quantum nature and also the symmetry of the lattice on which the spins are located. No real substance, however, is an ideal system for which the Hamiltonian can be written in terms of a single, simple interaction term. In most cases some additional interaction terms of different symmetry are needed. As will be shown later by examples, the physical property that is characteristic of the symmetry is not only dependent on the substance itself, but also on specified conditions such as temperature, external field, wave number etc. which the observers can vary. At temperatures very close to the critical point, all systems of basically Heisenberg symmetry will behave like an Ising system if the Hamiltonian contains an Ising-like interaction term, no matter how small it is. Such a general property, known as ’universality’, is most remarkably seen in 2-d magnetic systems, because the critical region is extremely wide as compared to the analogous 3-d case.

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  1. K. Hirakawa

    Present address: Fukuoka Institute of Technology, Higashi-ku, Fukuoka, Japan

Authors and Affiliations

  1. Institute for Solid State Physics, The University of Tokyo, Roppongi, Minato-ku, Tokyo, Japan

    K. Hirakawa

  2. Department of Physics, Faculty of Science, Ochanomizu University, Ohtsuka, Bunkyo-ku, Tokyo, Japan

    H. Ikeda

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  1. K. Hirakawa
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  1. Kamerlingh Onnes Laboratory, Leiden University, The Netherlands

    L. J. de Jongh

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Hirakawa, K., Ikeda, H. (1990). Neutron Scattering Experiments on Two-Dimensional Heisenberg and Ising Magnets. In: de Jongh, L.J. (eds) Magnetic Properties of Layered Transition Metal Compounds. Physics and Chemistry of Meterials with Low-Dimensional Structures, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1860-3_5

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