用matlab画出石墨烯的能带关系图Homewo

Homework1

10/31/2016

1. 计算做图画出石墨烯蜂窝格子的倒格子和第一布里

渊区，用matlab画出石墨烯的能带关系图

the heavier the nucleus, the stronger

硅烯 silicene is the spin-orbital splitting ∆

silicene on Ag(111)，STM

Lan Chen, PRL 109, 056804(2012)

硅烯 silicene

3 3pattern

silicene on Ag(111)，STM

Lan Chen, PRL 109, 056804(2012)

硅烯 silicene

3 3pattern

silicene on Ag(111)，STM

Lan Chen, PRL 109, 056804(2012)

硅烯 silicene

silicene on Ag(111)，STM

Lan Chen, PRL 109, 056804(2012)

硅烯 silicene

silicene on Ag(111)，STM

Lan Chen, PRL 109, 056804(2012)

硅烯 silicene

锡烯 stanene

锡烯 stanene

锡烯 stanene

stanene on Bi2Se3，STM

Jia Group, Nature Materials 14, 1020(2015)

Si和GaAs的能带

Similar crystal structure，but

different band structure, Ga-As is

polar, while Si is covalent

间接带隙半

直接带隙半 导体

导体

0.85

Si和GaAs的能带

间接带隙半

直接带隙半 导体

导体

0.85

1 Si: 0.85 0.19

∙ ∙ ,

2 0.92

,

1 1

∗

effective mass tensor

Si和GaAs的能带

间接带隙半

导体

0.85

Si: 0.85 0.19 6-fold “vall