Abstract
Elastic and anelastic properties of La0.5Ca0.5MnO3 determined by resonant ultrasound spectroscopy in the frequency range ∼100–1200 kHz have been used to evaluate the role of grain size in determining the competition between ferromagnetism and Jahn–Teller/charge order of manganites which show colossal magneto resistance. At crystallite sizes of ∼75 and ∼135 nm the dominant feature is softening of the shear modulus as the charge order transition point, Tco (∼225 K), is approached from above and below, matching the form of softening seen previously in samples with ‘bulk’ properties. This is consistent with a bilinear dominant strain/order parameter coupling, which occurs between the tetragonal shear strain and the Jahn–Teller order parameter. At crystallite sizes of ∼34 and ∼42 nm the charge ordered phase is suppressed but there is still softening of the shear modulus, with a minimum near Tco. This indicates that some degree of pseudoproper ferroelastic behaviour is retained. The primary cause of the suppresion of the charge ordered structure in nanocrystalline samples is therefore considered to be due to suppression of macroscopic strain, even though MnO6 octahedra must develop some Jahn–Teller distortions on a local length scale. This mechanism for stabilizing ferromagnetism differs from imposition of either an external magnetic field or a homogeneous external strain field (from a substrate), and is likely to lead both to local strain heterogeneity within the nanocrystallites and to different tilting of octahedra within the orthorhombic structure. An additional first order transition occurs near 40 K in all samples and appears to involve some very small strain contrast between two ferromagnetic structures.
Highlights
This mechanism for stabilizing ferromagnetism differs from imposition of either an external magnetic field or a homogeneous external strain field, and is likely to lead both to local strain heterogeneity within the nanocrystallites and to different tilting of octahedra within the orthorhombic structure
We propose that suppression of the charge ordered phase is due to suppression of long range ferroelastic shear strain, even though local Jahn–Teller distortions of MnO6 octahedra still occur
L Pagliari et al the pulse-echo technique and from Zheng et al [26] for the shear modulus measured at 1 Hz using the forced vibration method. (Grain sizes were not specified for the samples used in these studies)
Summary
In multiferroics the aim is to induce a magnetic response by applying an electric field or a ferroelectric response by applying a magnetic field, in magnetoresistant materials a change in electrical resistivity is induced by a magnetic field and in magnetocalorics (or electrocalorics) the need is to induce thermal changes by applying a magnetic (or electric) field, etc Behind these efforts is the aim to understand the mechanisms by which the different properties are interdependent so that required patterns of behaviour can be tuned through the choice of structure type, composition, grain size or, in the case of thin films, the choice of substrate. The primary objective of the present study was to use elastic and anelastic properties to characterize strain relaxation behaviour as a function of grain size, down to the nanoscale, in the competition between ferromagnetic ordering and charge ordering of colossal magneto resistant manganites
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