“…Combined with what we explained above, the negative MR is attributed to the formation of BMP caused by the overlap between the orbitals of electrons locally trapped by oxygen vacancy with the d shells of neighboring Cr dopants. − As a result, the BMPs increase with increasing Cr content, leading to the increase in the magnitude of negative MR. Similar phenomena were also observed and calculated in previous research studies [e.g., (In 0.98– x Co x Sn 0.02 ) 2 O 3 , ZnO:Cu, La 2– x Sr x CoMnO 6 , and Zn x Fe 3– x O 4 ]. ,,,, However, excessive doping may lead to antiferromagnetic coupling between nearest neighbor’s BMPs, thus suppresses negative MR. ,, Therefore, the magnitude of negative MR is slightly smaller as the Cr content increases from 8 to 11%. Upon the polarization switching from P r + to P r – , the MR changes from negative to positive and the influences of the FE field effect on the MR is greatly enhanced with increasing Cr content.…”