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MPG 3m'

Properties:

C3z, Mx⨂T

1D Identification

  • P(z)
  • A'(z)
  • C'(x)
  • C'(y)
  • C'(z)

Odd-Order Property

Applied M1 Checked Description M2
E(x) ►
k(y)Anomalous Hall effect
k(z)
A(z)
E(y) ►
V(z)
E(xy)
E(yx)
k(x)
k(xy)
k(yx)
M(z)
M(xy)
M(yx)
E(z) ►
A(x)
A(xy)
A(yx)
E(xy) ►
V(y)
V(z)
E(yx)
k(x)
k(yx)
M(y)
M(z)
M(yx)
E(yx) ►
V(y)
V(z)
E(xy)
k(x)
k(xy)
M(y)
M(z)
M(xy)
k(x) ►
V(y)Anomalous Hall effect
V(z)
E(xy)
E(yx)
k(xy)
k(yx)
M(y)
M(z)Transverse current-induced M, Transverse Edelstein effect
M(xy)
M(yx)
k(y) ►
V(x)
k(z)
A(z)
M(x)
k(z) ►
A(y)
k(xy) ►
V(y)
V(z)
E(yx)
k(x)
k(yx)
M(y)
M(z)
M(yx)
k(yx) ►
V(y)
V(z)
E(xy)
k(x)
k(xy)
M(y)
M(z)
M(xy)
A(x) ►
V(y)
V(z)
E(xy)
E(yx)
k(xy)
k(yx)
M(y)
M(z)Shear-stress induced M (piezomagnetic tensor)
M(xy)
M(yx)
A(y) ►
V(x)
k(z)
A(z)
M(x)
A(z) ►
A(y)
A(xy) ►
A(x)
A(yx)
A(yx) ►
A(x)
A(xy)
H(x) ►
k(y)
k(z)Transverse magnetotoroidicity (magnetotoroidicity tensor)
A(z)
H(y) ►
V(z)
E(xy)
E(yx)
k(x)
k(xy)
k(yx)
M(z)
M(xy)
M(yx)
H(z) ►
A(x)
A(xy)
A(yx)
H(xy) ►
V(y)
V(z)
E(yx)
k(x)
k(yx)
M(y)
M(z)
M(yx)
H(yx) ►
V(y)
V(z)
E(xy)
k(x)
k(xy)
M(y)
M(z)
M(xy)
C(x) ►
A(y)
C(z) ►
A(y)
C(xy) ►
V(y)
V(z)
E(yx)
k(x)
k(yx)
M(y)
M(z)
M(yx)
C(yx) ►
V(y)
V(z)
E(xy)
k(x)
k(xy)
M(y)
M(z)
M(xy)
C'(x) ►
V(y)
V(z)
E(xy)
E(yx)
k(xy)
k(yx)
M(y)
M(z)
M(xy)
M(yx)
C'(y) ►
V(z)
E(xy)
E(yx)
k(x)
k(xy)
k(yx)
M(z)
M(xy)
M(yx)
C'(z) ►
V(y)
E(xy)
E(yx)
k(x)
k(xy)
k(yx)
M(y)
M(xy)
M(yx)
C'(xy) ►
V(y)
V(z)
E(yx)
k(x)
k(yx)
M(y)
M(z)
M(yx)
C'(yx) ►
V(y)
V(z)
E(xy)
k(x)
k(xy)
M(y)
M(z)
M(xy)
D'(x) ►
k(y)
k(z)
A(z)
D'(y) ►
V(x)
k(z)
A(z)
M(x)
D'(z) ►
V(x)
k(y)
M(x)
D'(xy) ►
V(y)
V(z)
E(yx)
k(x)
k(yx)
M(y)
M(z)
M(yx)
D'(yx) ►
V(y)
V(z)
E(xy)
k(x)
k(xy)
M(y)
M(z)
M(xy)

Longitudinal Property

Primary Secondary
P(x)A'(x)
P(y)A'(y)
P(z)A'(z), C'(z)
P'(x)A(x)
P'(y)A(y)
P'(z)A(z), C(z), D'(z)
A(z)C(z), D'(z)
A'(z)C'(z)
C(x)D'(x)
C(y)D'(y)
C(z)D'(z)

Full Rank Property

Initial Subtracted
P(x)A'(x)
P'(x)P(x), A(x), A'(x)
A(x)P(x), P'(x), A'(x)
A'(x)P(x)
C(x)P(x), A'(x), D'(x)
C'(x)P(x), P'(x), A(x), A'(x), C(x), D'(x)
D'(x)P(x), A'(x), C(x)
P(y)P'(y), A(y), A'(y)
P'(y)A(y)
A(y)P'(y)
A'(y)P(y), P'(y), A(y)
C(y)P'(y), A(y), D'(y)
C'(y)P(y), P'(y), A(y), A'(y), C(y), D'(y)
D'(y)P'(y), A(y), C(y)
P(z)P'(z), A(z), A'(z), C(z), C'(z), D'(z)
P'(z)A(z), C(z), D'(z)
A(z)P'(z), C(z), D'(z)
A'(z)P(z), P'(z), A(z), C(z), C'(z), D'(z)
C(z)P'(z), A(z), D'(z)
C'(z)P(z), P'(z), A(z), A'(z), C(z), D'(z)
D'(z)P'(z), A(z), C(z)