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MPG 1'

Properties:

I⨂T

1D Identification

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

Odd-Order Property

Applied M1 Checked Description M2
E(x)
V(y)Transverse (Hall-type) voltage
V(z)
E(xy)
E(yx)
M(y)
M(z)Transverse magnetoelectric effect
M(xy)
M(yx)
E(y)
V(x)
V(z)
E(xy)
E(yx)
M(x)
M(z)
M(xy)
M(yx)
E(z)
V(x)
V(y)
E(xy)
E(yx)
M(x)
M(y)
M(xy)
M(yx)
E(xy)
V(x)
V(y)
V(z)
E(yx)
M(x)
M(y)
M(z)
M(yx)
E(yx)
V(x)
V(y)
V(z)
E(xy)
M(x)
M(y)
M(z)
M(xy)
k(x)
k(y)Anisotropic conductivity.
k(z)
k(xy)
k(yx)
A(y)Transverse current-induced ferro-rotational vector
A(z)
A(xy)
A(yx)
k(y)
k(x)
k(z)
k(xy)
k(yx)
A(x)
A(z)
A(xy)
A(yx)
k(z)
k(x)
k(y)
k(xy)
k(yx)
A(x)
A(y)
A(xy)
A(yx)
k(xy)
k(x)
k(y)
k(z)
k(yx)
A(x)
A(y)
A(z)
A(yx)
k(yx)
k(x)
k(y)
k(z)
k(xy)
A(x)
A(y)
A(z)
A(xy)
A(x)
k(y)
k(z)Shear-stress induced toroidicity (nonreciprocity) (piezotoroidic tensor)
k(xy)
k(yx)
A(y)Shear-stress induced ferro-rotational vector
A(z)
A(xy)
A(yx)
A(y)
k(x)
k(z)
k(xy)
k(yx)
A(x)
A(z)
A(xy)
A(yx)
A(z)
k(x)
k(y)
k(xy)
k(yx)
A(x)
A(y)
A(xy)
A(yx)
A(xy)
k(x)
k(y)
k(z)
k(yx)
A(x)
A(y)
A(z)
A(yx)
A(yx)
k(x)
k(y)
k(z)
k(xy)
A(x)
A(y)
A(z)
A(xy)
H(x)
V(y)
V(z)
E(xy)
E(yx)
M(y)Transverse magnetic susceptibility
M(z)
M(xy)
M(yx)
H(y)
V(x)
V(z)
E(xy)
E(yx)
M(x)
M(z)
M(xy)
M(yx)
H(z)
V(x)
V(y)
E(xy)
E(yx)
M(x)
M(y)
M(xy)
M(yx)
H(xy)
V(x)
V(y)
V(z)
E(yx)
M(x)
M(y)
M(z)
M(yx)
H(yx)
V(x)
V(y)
V(z)
E(xy)
M(x)
M(y)
M(z)
M(xy)
C(x)
V(y)
V(z)
E(xy)
E(yx)
M(y)Chiral light or torsional strain induced M, inverse Faraday effect
M(z)
M(xy)
M(yx)
C(y)
V(x)
V(z)
E(xy)
E(yx)
M(x)
M(z)
M(xy)
M(yx)
C(z)
V(x)
V(y)
E(xy)
E(yx)
M(x)
M(y)
M(xy)
M(yx)
C(xy)
V(x)
V(y)
V(z)
E(yx)
M(x)
M(y)
M(z)
M(yx)
C(yx)
V(x)
V(y)
V(z)
E(xy)
M(x)
M(y)
M(z)
M(xy)
C'(x)
k(y)
k(z)
k(xy)
k(yx)
A(y)
A(z)
A(xy)
A(yx)
C'(y)
k(x)
k(z)
k(xy)
k(yx)
A(x)
A(z)
A(xy)
A(yx)
C'(z)
k(x)
k(y)
k(xy)
k(yx)
A(x)
A(y)
A(xy)
A(yx)
C'(xy)
k(x)
k(y)
k(z)
k(yx)
A(x)
A(y)
A(z)
A(yx)
C'(yx)
k(x)
k(y)
k(z)
k(xy)
A(x)
A(y)
A(z)
A(xy)
D'(x)
V(y)
V(z)
E(xy)
E(yx)
M(y)
M(z)
M(xy)
M(yx)
D'(y)
V(x)
V(z)
E(xy)
E(yx)
M(x)
M(z)
M(xy)
M(yx)
D'(z)
V(x)
V(y)
E(xy)
E(yx)
M(x)
M(y)
M(xy)
M(yx)
D'(xy)
V(x)
V(y)
V(z)
E(yx)
M(x)
M(y)
M(z)
M(yx)
D'(yx)
V(x)
V(y)
V(z)
E(xy)
M(x)
M(y)
M(z)
M(xy)

Longitudinal Property

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

Full Rank Property

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