Home Research People Facilities Gallery MPG Server Publications Contact

MPG 3

Properties:

C3z

1D Identification

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

Odd-Order Property

Applied M1 Checked Description M2
E(x) ►
V(y)Transverse (Hall-type) voltage
V(z)
E(xy)
E(yx)
k(y)Anomalous Hall effect
k(z)
k(xy)
k(yx)
A(z)
M(y)
M(z)Transverse magnetoelectric effect
M(xy)
M(yx)
E(y) ►
V(x)
V(z)
E(xy)
E(yx)
k(x)
k(z)
k(xy)
k(yx)
A(z)
M(x)
M(z)
M(xy)
M(yx)
E(z) ►
A(x)
A(y)
A(xy)
A(yx)
E(xy) ►
V(x)
V(y)
V(z)
E(yx)
k(x)
k(y)
k(z)
k(yx)
A(z)
M(x)
M(y)
M(z)
M(yx)
E(yx) ►
V(x)
V(y)
V(z)
E(xy)
k(x)
k(y)
k(z)
k(xy)
A(z)
M(x)
M(y)
M(z)
M(xy)
k(x) ►
V(y)Anomalous Hall effect
V(z)
E(xy)
E(yx)
k(y)Anisotropic conductivity.
k(z)
k(xy)
k(yx)
A(z)
M(y)
M(z)Transverse current-induced M, Transverse Edelstein effect
M(xy)
M(yx)
k(y) ►
V(x)
V(z)
E(xy)
E(yx)
k(x)
k(z)
k(xy)
k(yx)
A(z)
M(x)
M(z)
M(xy)
M(yx)
k(z) ►
A(x)
A(y)
A(xy)
A(yx)
k(xy) ►
V(x)
V(y)
V(z)
E(yx)
k(x)
k(y)
k(z)
k(yx)
A(z)
M(x)
M(y)
M(z)
M(yx)
k(yx) ►
V(x)
V(y)
V(z)
E(xy)
k(x)
k(y)
k(z)
k(xy)
A(z)
M(x)
M(y)
M(z)
M(xy)
A(x) ►
V(y)
V(z)
E(xy)
E(yx)
k(y)
k(z)Shear-stress induced toroidicity (nonreciprocity) (piezotoroidic tensor)
k(xy)
k(yx)
A(z)
M(y)
M(z)Shear-stress induced M (piezomagnetic tensor)
M(xy)
M(yx)
A(y) ►
V(x)
V(z)
E(xy)
E(yx)
k(x)
k(z)
k(xy)
k(yx)
A(z)
M(x)
M(z)
M(xy)
M(yx)
A(z) ►
A(x)
A(y)
A(xy)
A(yx)
A(xy) ►
A(x)
A(y)
A(yx)
A(yx) ►
A(x)
A(y)
A(xy)
H(x) ►
V(y)
V(z)
E(xy)
E(yx)
k(y)
k(z)Transverse magnetotoroidicity (magnetotoroidicity tensor)
k(xy)
k(yx)
A(z)
M(y)Transverse magnetic susceptibility
M(z)
M(xy)
M(yx)
H(y) ►
V(x)
V(z)
E(xy)
E(yx)
k(x)
k(z)
k(xy)
k(yx)
A(z)
M(x)
M(z)
M(xy)
M(yx)
H(z) ►
A(x)
A(y)
A(xy)
A(yx)
H(xy) ►
V(x)
V(y)
V(z)
E(yx)
k(x)
k(y)
k(z)
k(yx)
A(z)
M(x)
M(y)
M(z)
M(yx)
H(yx) ►
V(x)
V(y)
V(z)
E(xy)
k(x)
k(y)
k(z)
k(xy)
A(z)
M(x)
M(y)
M(z)
M(xy)
C(x) ►
A(y)
A(xy)
A(yx)
C(y) ►
A(x)
A(xy)
A(yx)
C(z) ►
A(x)
A(y)
A(xy)
A(yx)
C(xy) ►
V(x)
V(y)
V(z)
E(yx)
k(x)
k(y)
k(z)
k(yx)
A(z)
M(x)
M(y)
M(z)
M(yx)
C(yx) ►
V(x)
V(y)
V(z)
E(xy)
k(x)
k(y)
k(z)
k(xy)
A(z)
M(x)
M(y)
M(z)
M(xy)
C'(x) ►
V(y)
V(z)
E(xy)
E(yx)
k(y)
k(z)
k(xy)
k(yx)
A(z)
M(y)
M(z)
M(xy)
M(yx)
C'(y) ►
V(x)
V(z)
E(xy)
E(yx)
k(x)
k(z)
k(xy)
k(yx)
A(z)
M(x)
M(z)
M(xy)
M(yx)
C'(z) ►
V(x)
V(y)
E(xy)
E(yx)
k(x)
k(y)
k(xy)
k(yx)
M(x)
M(y)
M(xy)
M(yx)
C'(xy) ►
V(x)
V(y)
V(z)
E(yx)
k(x)
k(y)
k(z)
k(yx)
A(z)
M(x)
M(y)
M(z)
M(yx)
C'(yx) ►
V(x)
V(y)
V(z)
E(xy)
k(x)
k(y)
k(z)
k(xy)
A(z)
M(x)
M(y)
M(z)
M(xy)
D'(x) ►
V(y)
V(z)
E(xy)
E(yx)
k(y)
k(z)
k(xy)
k(yx)
A(z)
M(y)
M(z)
M(xy)
M(yx)
D'(y) ►
V(x)
V(z)
E(xy)
E(yx)
k(x)
k(z)
k(xy)
k(yx)
A(z)
M(x)
M(z)
M(xy)
M(yx)
D'(z) ►
V(x)
V(y)
E(xy)
E(yx)
k(x)
k(y)
k(xy)
k(yx)
M(x)
M(y)
M(xy)
M(yx)
D'(xy) ►
V(x)
V(y)
V(z)
E(yx)
k(x)
k(y)
k(z)
k(yx)
A(z)
M(x)
M(y)
M(z)
M(yx)
D'(yx) ►
V(x)
V(y)
V(z)
E(xy)
k(x)
k(y)
k(z)
k(xy)
A(z)
M(x)
M(y)
M(z)
M(xy)

Longitudinal Property

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

Full Rank Property

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