Dear Stepan,

Thank you for the detailed response and kind help! In that case I think it’s 
better to resort to quantum simulation then, and I’ll contact you if I have 
other related problems.

Thanks again for all the help and discussion!

Best regards,
Mouyang

获取 Outlook for iOS<https://aka.ms/o0ukef>
________________________________
发件人: Stepan Tsirkin <[email protected]>
发送时间: Tuesday, October 31, 2023 9:08:21 AM
收件人: Mouyang Cheng <[email protected]>; [email protected] 
<[email protected]>
主题: Re: 回复: [Wannier] Query about wannier90 calculations on disordered supercell


Hi Mouyang,


Tecnically it is ok to wannierise from a 1x1x1 when the unit cell is big. For 
example, in fig 5a of this paper 
https://iopscience.iop.org/article/10.1088/1361-648X/ab51ff/meta#cmab51fff05  
an example is shown of a 12-atom carbon chain that was wannierised from 
Gamma-point only and the dispersion is restored with the MDRS method. So, 
technicall Boltzwann can do the calculation even if the wannierisation started 
from Gamma-point only. It will correctly interpolate the bands to any grid of 
k-points and take the derivatives.


But if it makes sense physically - is another question. The semiclassical 
equations of motion (underlying the Boltzwann) are defined for  crystals. I 
guess the condition is that mean-free-path is much larger then the size of the 
unit cell.


May be you can use the Wannier model to study quantum transport (See chapter 7 
of the user guide 
https://raw.githubusercontent.com/wannier-developers/wannier90/v3.1.0/doc/compiled_docs/user_guide.pdf)
 but I am not an expert in that.


Best,

Stepan.



On 31.10.23 02:02, Mouyang Cheng wrote:
Dear Stepan,

Thanks for the reply, and sorry for my late response. Yes, I did try to make 
the k-mesh 1*1*1 and perform the wannierlization at this accuracy. I think my 
question is whether this approach gives a reasonable tight-binding model at the 
DFT-level? Because I feel strange for wannier90 only fitting one k-point for 
each energy level to get so many localized wavefunctions.

Another problem is that at first I tried to perform further transport 
simulation in Boltzwann, but Boltzwann calculation requires information on 
multiple k-points to do derivatives, (i.e. it needs a whole band). So I guess 
the alternative is to wannierlize first, then carry out tight-binding 
simulation on transport by other means?

Really appreciate your advice and help!

Best regards,
Mouyang
________________________________
发件人: Stepan Tsirkin <[email protected]><mailto:[email protected]>
发送时间: 2023年10月27日 20:42
收件人: Mouyang Cheng <[email protected]><mailto:[email protected]>; 
[email protected]<mailto:[email protected]> 
<[email protected]><mailto:[email protected]>
主题: Re: [Wannier] Query about wannier90 calculations on disordered supercell


Dear Mouyang,


As I understand, there is no fundamental obstruction to make the k-mesh 1x1x1, 
So you will have a Gamma-only sampling. Although I do not have experience in 
that. Did you try that, and did you come across some difficulties?


Best Regards,

Stepan



On 26.10.23 05:15, Mouyang Cheng wrote:
Dear Wannier90 developers,

This is Mouyang Cheng, a student at MIT. I'm interested in generating wannier 
orbitals for disordered systems, e.g. amorphous 2D graphene sheet (large 
disorder). I've read several articles successfully coping with applying 
generalized Wannier orbitals on disordered systems like:
Maximally-localized Wannier functions for disordered systems: Application to 
amorphous silicon - 
ScienceDirect<https://www.sciencedirect.com/science/article/abs/pii/S0038109898001756>;

However as to my understanding in the user manual of Wannier90, we need to 
specify the Kmesh and number of bands to do wannier fit. But for a large 
supercell (~200 atoms) it is only practical for DFT to deal with only one Gamma 
point for BZ, and there is no concept of band in non-crystals.

So my question is: can Wannier90 deal with such an amorphous supercell and get 
a tight-binding Hamiltonian? If not, could you give any suggestions on any 
other code or convenient methods; If yes, how does it work?

Thank you so much for taking your time reading this email and I would greatly 
appreciate any help or clarification.

Best regards,
Mouyang Cheng

NSE, Massachusetts Institute of Technology
[https://ars.els-cdn.com/content/image/1-s2.0-S0038109823X00143-cov150h.gif]<https://www.sciencedirect.com/science/article/abs/pii/S0038109898001756>
Maximally-localized Wannier functions for disordered systems: Application to 
amorphous 
silicon<https://www.sciencedirect.com/science/article/abs/pii/S0038109898001756>
We use the maximally-localized Wannier function method to study bonding 
properties in amorphous silicon. This study represents, to our knowledge, the …
www.sciencedirect.com<http://www.sciencedirect.com>




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