Dear Marcos,
Thanks for your help, but the situation looks really WEIRD or I don't
understand anything at all (that may be also true).
When I was calculating the BS for graphene and zigzag NR I did not use any
specific supercell (I did not use the supercell block, the naive supercell
factors were 6*6*1 for graphene (initially my elementary unit cell
consisted of 2 atoms) and 6*1*1 for Zigzag NR (with 22 atoms - 5 rings
width)). Of course, the SCF procedure converged in these two cases.
As to criterion to determine whether my calculations are good or not, I
used the comparison both with tight-bonding method results and the DFT
calculations that were already done (using Siesta) by Pr. Stephan Roche
and co-workers. My results tallied with the those ones perfectly.

As to convergence in case with the zigzag NR (with k-point grid), double
unit cell of armchair NR and its flakes, the procedure did not converged,
and I don't know how to have it converged.  Moreover, form one step of the
iteration to another one the charges on the edge H-atoms are fluctuating
getting more and more asymmetrical. This is another manifestation of the
non-zero dipole moment.

Best,
Artem Baskin,
PhD student,
University of Illinois at Chicago


On Thu, April 22, 2010 1:16 pm, Marcos Veríssimo Alves wrote:
> Artem,
>
> Good results for graphene without any k-point sampling (only Gamma point)?
> And also for a zigzag NR? Now THAT's weird... unless you are using a huge
> supercell for each of them. What is your criterion for saying that your
> calculation is good? For a zigzag NR you might get away with a smaller
> supercell, if it's a semiconductor (I guess it is, I don't remember it
> right
> now).
>
> What is your procedure for calculating the band structure? Are you making
> sure you re-use the converged DM file?
>
> Marcos
>
>
> On Thu, Apr 22, 2010 at 8:06 PM, Artem Baskin <abas...@uic.edu> wrote:
>
>> Dear all users,
>> I am involved in band structure calculations for armchair and zigzag
>> nanoribbons and I have problems with the appropriate k-point sampling.
>> My
>> problem is like this:
>> Initially, I calculated the band structure for graphene and zigzag NR
>> without specifying any k-points. The results (with Meshcutoff level 800
>> Ry
>> and 400 Ry respectively) were quite good. But when I tried to calculate
>> the band structure for armchair (5 rings width) NR I got absolutely
>> wrong
>> results, moreover, in spite of symmetrical configuration I obtained the
>> non-zero significant dipole moment perpendicular to the ribbon (even
>> with 400 Ry MCutoff).
>> Then I generated a k-point grid using
>> %block kgrid_Monkhorst_Pack
>> 45 0 0 0.5
>> 0  1 0 0.5
>> 0  0 1 0.5
>> %endblock kgrid_Monkhorst_Pack
>>  and I got correct results (no dipole moment and reasonable FE and band
>> structure).
>>
>> FIRST problem that I encountered was that when I tried to recalculate BS
>> for zigzag NR with the SAME k-point grid I got an enormous dipole moment
>> (perpendicular to the ribbon) and wrong BS and FE level. Why is it so?
>>
>> SECOND problem is that when I doubled the elementary cell for 5-rings
>> width armchair ribbon (using the SAME k-point grid and 400 Ry MCoff
>> level)
>> just to make sure that I will get the same good results I got again an
>> enormous Dip moment and incorrect Band Structure.
>>
>> And THIRD (mysterious) problem is that when I tried to calculate Band
>> Structure for an isolated flake of armchair NR (3*5 rings size) I got
>> non
>> zero Dip moment (in this case for x- and y- directions) that is
>> nonsense.
>>
>> I guess, the problem is how to define correctly k-grid in these three
>> cases, but I don't know how. I performed the convergence test increasing
>> the number of k-points but neither dipole moment nor FE level
>> demonstrate
>> the monotonic behaviour, so I could not reach the correct results.
>>
>> Any help will be appreciated.
>>
>> Artem Baskin,
>> PhD student,
>> University of Illinois at Chicago
>>
>>
>>
>>
>
>


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