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- W2048834806 abstract "The existence of long range order (LRO) is examined in the antiferromagnetic Heisenberg model on the square or the simple cubic lattice with the next nearest neighbor interactions which are taken to be λ times the nearest neighbor ones (λ≧0). It is rigorously shown that Néel LRO exists at a low temperature on the simple cubic lattice and in the ground state on the square lattice for λ smaller than a critical value λ c . On the square lattice λ c increases with S starting from 0.072 for S =1 and approaches 0.5 in the limit S →∞. On the simple cubic lattice λ c =0.002 for S =1/2 and approaches 0.25 in the limit S →∞." @default.
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- W2048834806 date "1989-07-15" @default.
- W2048834806 modified "2023-09-23" @default.
- W2048834806 title "Existence of Long Range Order in the Frustrated Heisenberg Model" @default.
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- W2048834806 doi "https://doi.org/10.1143/jpsj.58.2547" @default.
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