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MPG 2y1'

Properties:

T, Ry, Ry⨂T

1D Identification

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

Odd-Order Property

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

Longitudinal Property

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

Full Rank Property

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