Yong-Jun Liu et al 2006 J. Phys.: Condens. Matter 18 1805 doi:10.1088/0953-8984/18/5/031
Magnetic order of the two-dimensional antiferromagnetic ¼-depleted square lattice
Yong-Jun Liu1,2,3, Yung-Chung Chen2, Min-Fong Yang2 and Chang-De Gong3,4
Show affiliationsFor a two-dimensional Heisenberg antiferromagnetic 
-depleted square lattice, it has been analytically proved that its ground state possesses simultaneously ferromagnetic and antiferromagnetic long-range orders, and exhibits ferrimagnetism. Numerical simulations of finite lattices using exact diagonalization show that the depletion strengthens the short-range spin–spin correlations whereas it weakens the long-range ones. The -depleted square lattice has a smaller susceptibility. This means that the geometric structure of the usual two-dimensional square lattice is more advantageous for establishing magnetic long-range order. By comparison of these two kinds of lattices, it is quite reliably inferred that Néel order exists in the ground state of the usual two-dimensional spin-
Heisenberg antiferromagnetic square lattice.
- PACS
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75.10.Jm Quantized spin models
75.60.Ej Magnetization curves, hysteresis, Barkhausen and related effects
- Subjects
- Dates
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Issue 5 (8 February 2006)
Received 18 November 2005, in final form 22 December 2005
Published 20 January 2006
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Magnetic order of the two-dimensional antiferromagnetic ¼-depleted square lattice
Yong-Jun Liu et al 2006 J. Phys.: Condens. Matter 18 1805
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