Band structure of bulk graphene: Difference between revisions

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(Created page with "<pre> import numpy as np 2 from math import sqrt 3 from sys import argv 4 from ase import Atoms 5 from ase.lattice.surface import hcp0001 6 from gpaw import GPA...")
 
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==Graphene using grid===
*[[Media:graphene_grid.py|graphene_grid.py]]:
<pre>
<pre>
import numpy as np
 
2  from math import sqrt
</pre>
3  from sys import argv
 
4  from ase import Atoms
===Graphene using LCAO===
5  from ase.lattice.surface import hcp0001
 
6  from gpaw import GPAW, restart, Mixer
*[[Media:graphene_lcao.py|graphene_lcao.py]]:
 
8  a = 2.4437
<pre>
9  # Set up graphene structure
 
10  vacuum = 3
11  atoms = Atoms(symbols='C2', positions=[(0.5*a,-sqrt(3)/6*a,vacuum),(0.5*a, +sqrt(3)/6*a, vacuum)], 
12                cell=[(0.5*a,-0.5*3**0.5*a,0), 
13                      (0.5*a,+0.5*3**0.5*a,0),
14                      (0.0,0.0,2*vacuum)])
15  atoms.set_pbc((True,True,False))
16 
17  # Gamma-point calculation of graphene
18  calc = GPAW(h=0.2, width=0.15, kpts=(1,1,1), xc='LDA') 
19  atoms.set_calculator(calc)
20  atoms.get_potential_energy()
21 
22 
23  kpts = [ (1/2.0, 1/3.0, 0) ]  
24 
25  # Calculate one K-point with usesymm=True
26  calc.set(kpts = kpts, usesymm=True, fixdensity=True)
27  calc.get_potential_energy()
28  eigs_True = calc.get_eigenvalues(kpt=0)
29 
30  # Redo with the same K-point with usesymm=False
31  calc.set(kpts = kpts, usesymm=False, fixdensity=True)
32  calc.get_potential_energy()
33  eigs_False = calc.get_eigenvalues(kpt=0)
34 
35  print eigs_True
36  print eigs_False
37  assert abs(eigs_True[0]-eigs_False[0])<1e-4
</pre>
</pre>

Revision as of 08:26, 25 October 2012

Graphene using grid=


Graphene using LCAO