Abstract
The magnetic properties of ${\mathrm{La}}_{0.5}{\mathrm{Ca}}_{0.5}\mathrm{Fe}{\mathrm{O}}_{3\ensuremath{-}\ensuremath{\delta}}$ perovskites with different oxygen vacancy contents were comprehensively investigated by means of x-ray diffraction, M\"ossbauer spectroscopy, and magnetization measurements. A glassy magnetic behavior was observed by the dc magnetization and ac susceptibility measurements. Around the freezing temperature, a charge disproportionation (CD) phase transition from ${\mathrm{Fe}}^{4+}$ ions to ${\mathrm{Fe}}^{3+}$ and ${\mathrm{Fe}}^{5+}$ ions was detected by $^{57}\mathrm{Fe}$ M\"ossbauer spectra. Due to the competition between ${\mathrm{Fe}}^{3+}{\mathrm{Fe}}^{5+}$ ferromagnetic interaction and ${\mathrm{Fe}}^{3+}{\mathrm{Fe}}^{3+}$ antiferromagnetic interaction, the CD transition from ${\mathrm{Fe}}^{4+}$ ions to ${\mathrm{Fe}}^{3+}$ and ${\mathrm{Fe}}^{5+}$ ions induces the glassy magnetic behavior.
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