The role of the Manhattan distance in antiferromagnetic ordering

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

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

The role of the Manhattan distance in antiferromagnetic ordering

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

Research output: Contribution to journal › Article › Academic

9 Citations (Scopus)

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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 language	English
Pages (from-to)	199-220
Journal	Physica A
Volume	246
Issue number	1-2
DOIs	https://doi.org/10.1016/S0378-4371(97)00341-5
Publication status	Published - 1997

Keywords

Antiferromagnetic order
Manhattan distance

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10.1016/S0378-4371(97)00341-5

Tielen1997roleFinal published version, 927 KB

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AU - Lulek, T.

AU - Traa, M.R.M.J.

AU - Kuzma, M.

AU - Caspers, W.J.

PY - 1997

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N2 - 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.

AB - 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.

KW - Antiferromagnetic order

KW - Manhattan distance

U2 - 10.1016/S0378-4371(97)00341-5

DO - 10.1016/S0378-4371(97)00341-5

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VL - 246

SP - 199

EP - 220

JO - Physica A

JF - Physica A

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ER -

The role of the Manhattan distance in antiferromagnetic ordering

Abstract

Keywords

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