2000
DOI: 10.1007/s100510050060
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Charge ordering and elastic constants in Fe Zn O

Abstract: We present the temperature dependence of elastic modes of Fe3−xZnxO4 with x = 0, x = 0.02 and x = 0.032. The c44 shear modes show a pronounced softening which can be normalized to a common behavior for all these substances. We can explain the softening with a bilinear coupling of the elastic strain to an order parameter linked to charge ordering processes. The other elastic modes (c11, c12 and the bulk modulus) do not show any softening. We present a symmetry analysis for the charge ordering model. PACS. 71.30… Show more

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Cited by 46 publications
(47 citation statements)
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References 17 publications
(28 reference statements)
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“…The derived values of the inplane and out-of-plane strain yield a Poisson ratio of 0.33, which is in good agreement with Ref. 78. In contrast to the x-ray measurements at E z = 400 kV/m, the intensity of the Fe 3 O 4 (004) reflection at E z = 0 kV/m is strongly reduced and a second peak occurs close to the first one [ Fig.…”
Section: Two Region Modelsupporting
confidence: 69%
See 1 more Smart Citation
“…The derived values of the inplane and out-of-plane strain yield a Poisson ratio of 0.33, which is in good agreement with Ref. 78. In contrast to the x-ray measurements at E z = 400 kV/m, the intensity of the Fe 3 O 4 (004) reflection at E z = 0 kV/m is strongly reduced and a second peak occurs close to the first one [ Fig.…”
Section: Two Region Modelsupporting
confidence: 69%
“…78 The interaction between the elastic and the magnetic anisotropy energies is described by the first order magnetoelastic energy density u • between the sample normal and the rotation axis.…”
Section: Magnetoelastic Effectsmentioning
confidence: 99%
“…In particular, the term dg 2 in the last line, describing the coupling between the X 3 and T 2g OPs, contributes to the softening of the c 44 elastic constant. 36 Other couplings involving the zone-center IRs may account for anomalies observed by the Raman studies.…”
Section: B Free Energy Functionalmentioning
confidence: 99%
“…The pronounced softening of the c 44 elastic constant, 35 observed from room temperature down to T V , has been explained by the coupling between the shear mode and the charge-density T 2g order parameter (OP) at the Γ point. 36 The decrease of c 44 is associated with the softening of the surface Rayleigh mode observed by the Brillouin scattering. 37 In the bulk, no phonon softening has been observed, 38 however, critical fluctuations revealed by neutron scattering strongly indicate the existence of phonon precursor effects which drive the structural deformation.…”
Section: Introductionmentioning
confidence: 99%
“…Recent band-structure calculations including Coulomb interelectron correlations yielded an insulating gap comparable to that experimentally measured [8,9]. Apart from the indirect suggestions on lattice dynamics changing [10,11], recently, the lattice stiffening below T V was directly proved [12]. Consequently, electrons confined to lattice creating small polarons were successfully used to reproduce temperature dependence of resistivity [13].…”
Section: Introductionmentioning
confidence: 85%