The role of the Manhattan distance in antiferromagnetic ordering

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

Physica A: Statistical Mechanics and its Applications, 1997, vol. 246, issue 1, 199-220

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.

Keywords: Antiferromagnetic order; Manhattan distance (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:246:y:1997:i:1:p:199-220

DOI: 10.1016/S0378-4371(97)00341-5

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