Fig. 4 | Communications Physics

Fig. 4

From: Anisotropies and magnetic phase transitions in insulating antiferromagnets determined by a Spin-Hall magnetoresistance probe

Fig. 4

Temperature dependence of the Spin-Hall magnetoresistance (SMR). a Field dependence of the longitudinal SMR for H parallel to J (||x) at different temperatures (below and above the Morin temperature of 260 K). b Temperature dependence of the critical field Hcr (left axis) for H||x (\({{H}}_{{\rm{cr}}}\left( {{{T}};{{\chi }}_{{H}} = 33^{\mathrm{o}}} \right)\), black dots) and H||y (\({{H}}_{{\rm{cr}}}\left( {{{T}};{{\chi }}_{{H}} = 90^{\mathrm{o}}} \right)\), blue dots). Solid lines shows the fitting with \({{H}}_{{\rm{cr}}} \propto \sqrt {{{T}}_{\rm{M}} - {{T}}}\). Blue line (right axis) shows the calculated temperature dependence of the effective anisotropy \({{H}}_{{\rm{an}}}^{{\rm{eff}}}({{T}})\) based on fitting of critical fields and Eq. (4). c Schematic of the two device orientations (J||y and J||x). Shaded is the easy plane with orientations (double-arrows) of the Neel vectors in different domains. d Angular dependence of the longitudinal SMR signal for J||y (green) and J||x (brown) at H= 0.5 T (full dots) and H= 5.5 T (open dots) in easy-plane phase (T = 280 K). Field is rotated in the xy plane, angle α is calculated from the current direction. Symbols are experimental data; solid lines correspond to fitting with \({{H}}_{{\rm{an}}}^{{\rm{eff}}} =\) 23.8 mT, \({{H}}_ \bot =\) 1.54 μT, and \({{H}}_{{\rm{DMI}}} =\) 2.72 T. Error bars (if not visible, smaller than the symbol size) account for (a & d) the standard error, (b) fit parameters errors and saturation field uncertainty

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