Solution LAB3 graphene: Difference between revisions

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* Back to the previous page: [[Electronic properties of 2D and 1D systems#Exercises]]
* Back to the previous page: [[Electronic properties of 2D and 1D systems#Exercises]]


**Step 1
==Step 1 ==


[[File:Gr unit.png| border |400px |Picture from [https://aip.scitation.org/doi/10.1063/1.4951692 G. Yang at al. AIP Advances 6, 055115 (2016)]]]
[[File:Gr unit.png| border |400px |Picture from [https://aip.scitation.org/doi/10.1063/1.4951692 G. Yang at al. AIP Advances 6, 055115 (2016)]]]

Revision as of 10:35, 1 April 2021

Step 1

Picture from G. Yang at al. AIP Advances 6, 055115 (2016)

  • Graphene has an honeycomb lattice and we can define the unit cell by considering an hexagonal lattice and two atoms per cell. The CC distance is 0.142nm. An input file can be set using an hexagonal bravais lattice as:
&system  
ibrav= 4, celldm(1) =4.6542890, celldm(3)=something appropriate, nat= 2, ntyp= 1, [...]  
/ 
ATOMIC_POSITIONS {crystal}  
C 0.0000000 0.0000000 0.000000  
C 0.3333333 0.6666666 0.000000
  • Graphene is a quasi-metal, pay attention to the smearing
  • K point sampling on the plane. If multiple of 3 you can include the high symmetry point K in your sampling