Graphene is a special material, you cannot just compute epsilon like that. It is officially a metal, hence its static epsilon is infinity. You should see that the better you do your calculation (i.e. more k-points), the higher value you get.

Furthermore, its electric permittivity is strongly frequency dependent: you would need some frequency-aware method to compute it. But I would recommend you start with anything else instead.

cheers


On 9/16/19 11:55 PM, Jay Wai wrote:
Dear users,

I am trying to calculate dielectric constants of graphene.
I first relaxed the structure using the following pw.x input:

&CONTROL
    calculation      = 'relax'
    tstress          = .true.
    tprnfor          = .true.
    prefix           = 'noiso'
    forc_conv_thr    = 1.d-4
/
&SYSTEM
    ibrav            = 0
    ecutwfc          = 64
    ecutrho          = 576
    ntyp             = 1
    nat              = 8
    nosym          = .true.
/
&ELECTRONS
   conv_thr=1.d-12
/

ATOMIC_SPECIES
C 12.0 C.pbe-n-rrkjus.UPF

K_POINTS automatic
12 12 1  0 0 0

CELL_PARAMETERS angstrom
2.45951214674781 4.26000000000000 0.00000000000000
-2.45951214674781 4.26000000000000 0.00000000000000
0.00000000000000 0.00000000000000 30.00000000000000

ATOMIC_POSITIONS angstrom
C        0.000000000   1.420000000   15.000000000
C        0.000000000   2.840000000   15.000000000
C       -1.229756073   3.550000000   15.000000000
C       -1.229756073   4.970000000   15.000000000
C        1.229756073   3.550000000   15.000000000
C        1.229756073   4.970000000   15.000000000
C        0.000000000   5.680000000   15.000000000
C        0.000000000   7.100000000   15.000000000

And then, I calculated the dielectric constants using the following ph.x input:

phonons of gr
  &inputph
   tr2_ph=1.0d-14,
   prefix='noiso',
   epsil=.true.,
   ldisp=.true.,
   nq1=3,
   nq2=3,
   nq3=1,
   amass(1)=12,
   fildyn='noiso.dynG',
  /

The result of calculation does not seem to be physically reasonable (very large negative value):
           Dielectric constant in cartesian axis
           (   -6123.274083490       0.000008052      -0.000001008 )
           (       0.000008023   -6123.274129001      -0.000006809 )
           (      -0.000000922      -0.000006871       1.074380904 )

Could you give me a clue on which part of my input files might cause this?

Best,
Jay

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Lorenzo Paulatto - Paris
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