Staggered Magnetisation in the Heisenberg Antiferromagnet
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In the presence of a staggered magnetic field, the plaquette expansion of the Lanczos matrix elements are obtained for the antiferromagnetic 2D Heisenberg model up to order 1/Np (Np is the number of plaquettes on the lattice). The resulting approximate tri-diagonal form of the Hamiltonian is diagonalised for various values of the field strength in the -> 00 limit for the ground state energy density. From the behaviour of the ground-state energy density at weak fields, the staggered magnetisation at this order in the plaquette expansion is found to be 0�71 (in units where the Neel state staggered magnetisation is 1� 0).
1996 ◽
Vol 10
(28)
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pp. 3827-3856
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1981 ◽
Vol 11
(11)
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pp. 2315-2325
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2010 ◽
Vol 49
(6)
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pp. 1187-1194
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1994 ◽
Vol 08
(10)
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pp. 629-639
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2016 ◽
Vol 49
(22)
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pp. 225001
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