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- W1966989013 abstract "We consider a bilayer, consisting of two isotropic Heisenberg ferromagnetic monolayers coupled by a short-range effective exchange interaction perpendicular to the planes. We also add the dipolar interactions. We obtain the transverse one-spin, double-time Zubarev-Tyablikov Green's functions in the random-phase approximation and therefrom we calculate the critical temperature ${mathit{T}}_{mathit{c}}$ and the zero-point spin deviation as functions of the dipolar anisotropy parameter defined as ${mathit{E}}_{mathit{d}}$=(g${mathrm{ensuremath{mu}}}_{mathit{B}}$${)}^{2}$S/${mathit{a}}^{3}$${mathit{J}}_{mathrm{ensuremath{parallel}}}$, where a is the lattice constant of the magnetic square lattices and ${mathit{J}}_{mathrm{ensuremath{parallel}}}$ is the in-plane exchange constant. We show that ${mathit{T}}_{mathit{c}}$ decreases logarithmically to 0 as ${mathit{E}}_{mathit{d}}$ tends to 0. For finite ${mathit{E}}_{mathit{d}}$ the acoustic (lower) magnon branch has a linear dispersion relation (anisotropic) for small ${mathbf{k}}_{mathrm{ensuremath{parallel}}}$ when the interplanar coupling is finite, but it changes to the square root of ensuremath{Vert}${mathbf{k}}_{mathrm{ensuremath{parallel}}}$ensuremath{Vert} as both planes become uncoupled. In the case of simple cubic (001) kind of stacking of the two planes, we show that for small ensuremath{Vert}${mathbf{k}}_{mathrm{ensuremath{parallel}}}$ensuremath{Vert}, the acoustic branch energy becomes imaginary as ${mathit{E}}_{mathit{d}}$ attains a critical value. Below this value, the bilayer exhibits long-range ferromagnetic order, as in a monolayer with dipolar and exchange interactions, with the layers aligned parallel. For ${mathit{E}}_{mathit{d}}$ larger than the critical value, this alignment is unstable." @default.
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- W1966989013 date "1995-02-01" @default.
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- W1966989013 title "Dipolar effects in a Heisenberg ferromagnetic bilayer" @default.
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- W1966989013 doi "https://doi.org/10.1103/physrevb.51.3933" @default.
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