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A comparison between the phonon Green's function D(q) and the quadrupole susceptibility o(q) yields C66=C0 66 = limq!0=!oq+= !0oq+2 = irr Oxy o0+=Oxy o0+, where =(q) (=0(q)) is the renormalized (bare) frequency of the acoustic phonon coupled to the quadrupole Oxy and irr O is the contribution from the irreducible diagrams with respect to D(q). When approaching the structural transition with C66=0, the system also shows the FO instability with Oxy o0+ 1
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A comparison between the phonon Green's function D(q) and the quadrupole susceptibility o(q) yields C66=C0 66 = limq!0=!oq+= !0oq+2 = irr Oxy o0+=Oxy o0+, where =(q) (=0(q)) is the renormalized (bare) frequency of the acoustic phonon coupled to the quadrupole Oxy and irr O is the contribution from the irreducible diagrams with respect to D(q). When approaching the structural transition with C66=0, the system also shows the FO instability with Oxy o0+ 1
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The frequency =(q) of a phonon coupled to a quadrupole O is renormalized as !oq+=!0oq+ = irr O oq; 0+=Ooq; 0+1=2 and is expected to show a softening for q QAF due to the enhancement of the AFO fluctuation as observed for the acoustic phonon softened for q 0 due to the FO fluctuation7)
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The frequency =(q) of a phonon coupled to a quadrupole O is renormalized as !oq+=!0oq+ = irr O oq; 0+=Ooq; 0+1=2 and is expected to show a softening for q QAF due to the enhancement of the AFO fluctuation as observed for the acoustic phonon softened for q 0 due to the FO fluctuation7).
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The phase separation is suppressed by Up as compared to the case with Up = 020) where it occurs for V & 0:38 eV
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The phase separation is suppressed by Up as compared to the case with Up = 020) where it occurs for V & 0:38 eV.
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