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The European Physical Journal B

Square lattice Ising antiferromagnet in an external magnetic field

J. Zittartz

Published Sep 1, 1980• 14 citations
Publisher
DOI
10.1007/bf01294533

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The important properties of the Ising antiferromagnets on honeycomb lattice and square lattice in the critical magnetic field B c (B c = 3|J| for honeycomb lattice and B c = 4|J| for square lattice with coupling constant J) are investigated by evaluating exactly all their possible ground states on L × 2L honeycomb lattices (L = 4 ∼ 14) and L × L square lattices (L = 4 ∼ 16) with cylindrical boundary conditions. In particular, the properties of the honeycomb-lattice Ising antiferromagnet in the critical magnetic field B c are unveiled for the first time.