Table 1 Magnetic geometry-induced second-order conductivities by symmetry analysis

From: Magnetic geometry induced quantum geometry and nonlinear transports

AFM

\({T}_{{{\rm{eff}}}}\)

\(P{T}_{{{\rm{eff}}}}\)

IMD & QMD

BCD

Representative compounds

Coplanar (include collinear)

MnBi2Te4

VNb3S6

Noncoplanar

Ce3NIn

MgV2O4

CrSe

CuB2O4

  1. All the AFMs are supposed to be noncentrosymmetric. In the column of \({T}_{{{\rm{eff}}}}\) and \(P{T}_{{{\rm{eff}}}}\), ✔ and ✘ represent the presence and absence of the specific effective symmetry, respectively. In the column of “IMD & QMD” and “BCD”, ✔ and ✘ denote the corresponding nonlinear transport to be allowed and disallowed by \({T}_{{{\rm{eff}}}}\) and/or \(P{T}_{{{\rm{eff}}}}\), respectively.