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- W1993717617 abstract "For the isotropic Heisenberg Hamiltonian with ferromagnetic nearest- and antiferromagnetic next-nearest-neighbor interactions: $H={J}_{1}{ensuremath{Sigma}}_{(mathrm{nn})}{stackrel{ensuremath{rightarrow}}{mathrm{S}}}_{n}{stackrel{ensuremath{rightarrow}}{mathrm{S}}}_{n+{ensuremath{delta}}_{1}}+{J}_{2}{ensuremath{Sigma}}_{(mathrm{nnn})}{stackrel{ensuremath{rightarrow}}{mathrm{S}}}_{n}{stackrel{ensuremath{rightarrow}}{mathrm{S}}}_{n+{ensuremath{delta}}_{2}}$, ${J}_{1}<0$, ${J}_{2}>0$, necessary and sufficient conditions for a ferromagnetic ground state are obtained for all Bravais lattices with periodic boundaries and arbitrary spin $s$. For some lattices, e.g., the cubic lattices in two and three dimensions, these conditions are spin dependent. For the Ising and classical Heisenberg model, the threshold values for $frac{|{J}_{1}|}{{J}_{2}}$ are calculated and compared with the quantum case. The results are also consistent with most of the experimental information." @default.
- W1993717617 created "2016-06-24" @default.
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- W1993717617 date "1980-02-01" @default.
- W1993717617 modified "2023-10-15" @default.
- W1993717617 title "Conditions for a ferromagnetic ground state of Ising and Heisenberg models. II. All Bravais lattices" @default.
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- W1993717617 doi "https://doi.org/10.1103/physrevb.21.1304" @default.
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