Two-dimensional molecular magnets with weak topological invariant magnetic moments: Mathematical prediction of targets for chemical synthesis

D. M. Packwood, K. T. Reaves, F. L. Federici, H. G. Katzgraber, W. Teizer

    研究成果: Article査読

    2 被引用数 (Scopus)

    抄録

    An open problem in applied mathematics is to predict interesting molecules that are realistic targets for chemical synthesis. In this paper, we use a spin Hamiltonian-type model to predict molecular magnets (MMs) with magnetic moments that are intrinsically robust under random shape deformations to the molecule. Using the concept of convergence in probability, we show that for MMs in which all spin centres lie in-plane and all spin centre interactions are ferromagnetic, the total spin of the molecule is a 'weak topological invariant' when the number of spin centres is sufficiently large. By weak topological invariant, we mean that the total spin of the molecule depends only upon the arrangement of spin centres in the molecule, and is unlikely to change under shape deformations to the molecule. Our calculations show that only between 20 and 50 spin centres are necessary for the total spin of these MMs to be a weak topological invariant. The robustness effect is particularly enhanced for two-dimensional ferromagnetic MMs that possess a small number of spin rings in the structure.

    本文言語English
    論文番号20130373
    ジャーナルProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    469
    2160
    DOI
    出版ステータスPublished - 2013 12月 8

    ASJC Scopus subject areas

    • 数学 (全般)
    • 工学(全般)
    • 物理学および天文学(全般)

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