The role of the Manhattan distance in antiferromagnetic ordering

G.J. Tielen, T. Lulek, M.R.M.J. Traa, M. Kuzma, W.J. Caspers

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    Abstract

    The lowest state of one- and two-dimensional antiferromagnetic Heisenberg systems for a given number of "up" and "down" spins shows preference for certain regular patterns of the minority spin direction. For the one-dimensional system this pattern is an even distribution with equal distances for the minority spins, whereas in the two-dimensional systems the Manhattan distance, instead of the Euclidean distance, determines the optimal configuration.
    Original languageEnglish
    Pages (from-to)199-220
    JournalPhysica A
    Volume246
    Issue number1-2
    DOIs
    Publication statusPublished - 1997

    Keywords

    • Antiferromagnetic order
    • Manhattan distance

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