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- W2040471637 abstract "The spinel structure oxide ${mathrm{LiMn}}_{2}{mathrm{O}}_{4},$ a geometrically frustrated antiferromagnet, was studied by neutron-scattering methods. Diffraction studies with unpolarized neutrons, $ensuremath{lambda}=2.52AA{}$ and $E=12.9mathrm{meV},$ are consistent with ${T}_{c}=65.5(5)mathrm{K}.$ In agreement with previous results both Bragg peaks, indicative of long-range order, and a broad Lorentzian feature, centered at $Q=1.36{AA{}}^{ensuremath{-}1},$ indicative of short range order, coexist down to 2 K. The correlation length ensuremath{xi} associated with the short-range order is 3(1) AA{}, the order of the nearest-neighbor (nn) Mn-Mn distances. Quantitative estimates of the Bragg and Lorentzian contributions from 80 to 2 K indicate the growth of the Bragg at the expense of the Lorentzian component, that their integrated intensities become essentially equal below 20 K and that the total magnetic scattering is conserved within the E-transfer Q range studied. Further studies with neutron polarization analysis, using neutrons with $ensuremath{lambda}=4.8AA{}$ and 3.55 meV, quantitatively measure the total differential magnetic cross section, $d{ensuremath{sigma}}_{mathrm{mag}}/densuremath{Omega}$ to be 1.05 b ${mathrm{sr}}^{mathrm{ensuremath{-}}1}$ ${mathrm{f}.mathrm{u}.}^{mathrm{ensuremath{-}}1}$ at 1.5 K, which is close to the value expected for a static spin model. $d{ensuremath{sigma}}_{mathrm{mag}}/densuremath{Omega}$ increases by about 20% between 120 and 1.5 K below ${T}_{c},$ suggesting significant spin dynamics for $T>{T}_{c},$ which lie outside of the energy window of the neutron polarization analysis experiment. In addition, above ${T}_{c}$ the Lorentzian peak broadens slightly and the center shifts from 1.36 ${mathrm{AA{}}}^{mathrm{ensuremath{-}}1}$ at 80 K to 1.29 ${mathrm{AA{}}}^{mathrm{ensuremath{-}}1}$ at 120 K. Inelastic magnetic scattering was measured using neutron polarization analysis over the energy range +2.0 to -4.9 meV at 1.5 and 80 K. At 1.5 K the scattering is essentially elastic with at most ensuremath{sim}23% of the spins fluctuating while at 80 K it is largely inelastic with at least 75% of the spins fluctuating. These results are consistent with the existence of a correlated paramagnetic state above ${T}_{c},$ which evolves with decreasing temperature into a ground state below 20 K in which about half the spins are long-range ordered and the other half are in a spin-glass-like configuration. This is in turn consistent with the presence of partial charge ordering between ${mathrm{Mn}}^{3+}$ and ${mathrm{Mn}}^{4+}$ in the low-temperature structure of ${mathrm{LiMn}}_{2}{mathrm{O}}_{4}$ and the inherent geometrical frustration of the Mn sublattice." @default.
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- W2040471637 date "2002-05-02" @default.
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- W2040471637 title "Neutron-scattering studies of the geometrically frustrated spinel<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>LiMn</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>" @default.
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- W2040471637 doi "https://doi.org/10.1103/physrevb.65.184424" @default.
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