Table 1 Character table for C2v point group for k points along ΓX (top) and ΓY (bottom)

From: Accessing valley degree of freedom in bulk Tin(II) sulfide at room temperature

C2v (ΓX)

E

C2(x)

σv(xy)

σv(xz)

Position vectors

Bands

A1

+1

+1

+1

+1

x

 

A2

+1

+1

−1

−1

  

B1

+1

−1

+1

−1

y

 

B2

+1

−1

−1

+1

z

CB, VB

C2v (ΓY)

E

C2(y)

σv(yz)

σv(xy)

Position vectors

Bands

A1

+1

+1

+1

+1

y

CB, VB

A2

+1

+1

−1

−1

  

B1

+1

−1

+1

−1

z

 

B2

+1

−1

−1

+1

x

 
  1. The main C2 rotation symmetry operations for both point groups are along the x and y axes, respectively, giving different irreducible representations for the position vectors. The irreducible representations for the conduction and valence bands, determined by analysis of orbital symmetries are also presented (adapted from ref. 30)