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Deng et al. Microstructures 2023;3:2023044 https://dx.doi.org/10.20517/microstructures.2023.42 Page 11 of 18

[26]
Figure 9. (A) Giant magnetoresistance effect of Mn GaC at selected temperatures ; (B) magnetoresistance of Mn Ni N after
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cooling in zero field and in ±9 T [27] ; (C) anomalous Hall conductivity versus field measured in single crystalline Mn Ni 0.35 Cu 0.65 N film on
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MgO (111) substrate [30] .
magnetoresistance of about 50% under an external magnetic field of 3 kOe. With the further increase of the
external magnetic field, the magnetoresistance value is almost unchanged, but its peak width is broadened
and reaches 20 K at 50 kOe. Kamishima et al. suggested that the magnetoresistance effect in Mn GaC is
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aroused by the difference of resistivity between AFM and FM states, and the external magnetic field can
induce the temperature shift of AFM-FM phase transition . In addition, an electroresistance-like behavior
[26]
of the antiperovskite Mn GaC, revealed by a resistivity change of 50% due to the local Joule heating, is
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reported around the collinear AFM- intermediate phase transition. The currents significantly reduce the
proportion of the higher resistivity AFM phase relative to the lower resistivity interphase with warming,
showing a change in resistivity. On the other hand, for a non-coplanar magnet Mn Ni N with triangular
0.651
3.338
lattice, a high-resistivity state can be frozen along the direction of the cooling field while a low-resistivity
state is determined in the reversed field direction, indicating an asymmetry with respect to H [Figure 9B].
This characteristic further demonstrates a switchable scalar spin chirality of Mn Ni N.
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0.651
Recently, the anomalous Hall effect, originating from the nonvanishing momentum space Berry curvature,
has been reported in the non-collinear AFM antiperovskites. Among the magnetic orders, a typical non-
collinear AFM configuration is Γ , whose atomic magnetic moments point to the triangle "inside" or
4g
"outside" in the triangular lattice of the antiperovskite (111) surface, forming a phase similar to that of
5g
Mn A(X = Sn, Ge, Pt) non-collinear magnets. Another typical AFM phase Γ can be obtained by rotating
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4g
the atomic magnetic moments in Γ by 90 degrees in the (111) plane. Both of these two magnetic phases
have zero scalar chirality, and theoretical studies show that the former and the latter magnetic order display
a finite and zero anomalous Hall resistivity, respectively. In 2019, Gurung et al. used symmetry analysis and
density functional theory to study the anomalous Hall conductance in non-collinear magnetic
antiperovskites, revealing that the Γ magnetic phase in Mn GaN shows a finite value of anomalous Hall
4g
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conductivity, while the Γ magnetic phase displays zero anomalous Hall conductivity . In 2020,
5g
[28]
Samathrakis et al. theoretically calculated the tailoring of the anomalous Hall effect in the non-collinear
5g
antiperovskite Mn GaN, revealing the large intrinsic anomalous Hall effect caused by the strain in the Γ
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