Table 1 The lattice constant a, bond length d1 (d2) between the central-layer atom and the up-layer (low-layer) atom, charge transfer ΔQ1 (ΔQ2) from the central-layer atom to the up-layer (low-layer) atom, cohensive energy Ecoh, band gap Eg, electronic states (including normal insulating (NI), metallic (M), and TI), and dynamic stability for the trigonal poloniumene ML with X (X = S, Se, Te) atoms doped. The SOC is considered.

From: Trigonal multivalent polonium monolayers with intrinsic quantum spin Hall effects

Pattern

Atom

a(Å)

d1(Å)

d2(Å)

ΔQ1

ΔQ2

Ecoh(eV/atom)

Eg(eV)

State

Stable

XPoPo

S

4.21

2.815

3.221

0.64

0.16

3.172

0.37

TI

Y

Se

4.28

2.945

3.231

0.49

0.16

3.074

0.30

TI

Y

Te

4.41

3.152

3.245

0.29

0.16

2.989

0.19

TI

Y

PoXPo

S

3.92

2.954

2.954

 − 0.30

 − 0.31

3.028

0.00

M

N

Se

4.11

3.036

3.036

 − 0.16

 − 0.16

2.975

0.00

TI

Y

Te

4.36

3.185

3.185

0.02

0.02

2.970

0.37

TI

Y

XPoX

S

3.96

2.778

2.778

0.65

0.65

3.185

0.63

NI

Y

Se

4.11

2.918

2.918

0.50

0.50

2.954

0.46

NI

Y

Te

4.36

3.135

3.135

0.30

0.30

2.750

0.16

NI

Y

XXPo

S

3.75

2.495

2.839

0.18

 − 0.28

2.721

0.19

NI

N

Se

3.98

2.722

2.969

0.18

 − 0.14

2.689

0.07

NI

N

Te

4.32

3.071

3.163

0.17

0.05

2.693

0.03

TI

Y