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Today's Topics:
1. plotting band structure of bulk 2D material along high
symmetry lines in the Brillouin zone (kuangyia lee)
2. Re: plotting band structure of bulk 2D material along high
symmetry lines in the Brillouin zone (Maurer, Leon)
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Message: 1
Date: Wed, 24 Oct 2018 18:52:49 +0200
From: kuangyia lee <kuangyia.lee@gmail.com>
To: kwant-discuss@kwant-project.org
Subject: [Kwant] plotting band structure of bulk 2D material along
high symmetry lines in the Brillouin zone
Message-ID:
<CAPVHYSmaFEHTHmKdh63u0RfWp+rJ15DP84bY==gG-v+93W8ncA@mail.gmail.com>
Content-Type: text/plain; charset="utf-8"
Dear kwant developers and users,
I want to calculate and plot the band structure of bulk 2D material along
some high-symmetry lines in the Brillouin zone (e.g. Gamma-->K-->M--Gamma),
i.e. the 1D band structure.
I found that someone already posted a relevant issue and some useful
solutions were also given. For example, see
https://kwant-discuss.kwant-project.narkive.com/2fT27IJh/kwant-for-bulk-system.
However, these solutions are only for calculating and plotting the full 2D
band structure in the Brillouin zone.
Can anyone give some useful solutions to my concern? Your help is much
appreciated.
Thank you and best regards,
Kuangyia Lee
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Message: 2
Date: Wed, 24 Oct 2018 17:27:59 +0000
From: "Maurer, Leon" <lmaurer@sandia.gov>
To: "kwant-discuss@kwant-project.org"
<kwant-discuss@kwant-project.org>
Subject: Re: [Kwant] plotting band structure of bulk 2D material along
high symmetry lines in the Brillouin zone
Message-ID: <1E98EB0E-6061-4A7F-9EB8-E4C347A1E9B6@sandia.gov>
Content-Type: text/plain; charset="utf-8"
Hi Kuangyia,
If I understand your question correctly, I have done this by extracting a Hamiltonian from the wrapped system using hamiltonian_submatrix (with whatever wavevector you want as an argument) and finding the eigenvalues of that matrix. I?ve attached a jupyter notebook that uses kwant to calculate Si?s band structure along high-symmetry directions. In the notebook, cell 6 is the relevant one. That said, others may know a cleaner way to do this.
That said, what is your ultimate goal? If it?s simply to compute band structures of a bulk material, then you can just write down the matrix without kwant and find its eigenvalues. (I?ve attached a second notebook that does that.) I don?t think that kwant simplifies the process. If you want to later want to do some transport simulation, then starting with kwant could prove useful.
-Leon
From: Kwant-discuss <kwant-discuss-bounces@kwant-project.org> on behalf of kuangyia lee <kuangyia.lee@gmail.com>
Date: Wednesday, October 24, 2018 at 10:53 AM
To: "kwant-discuss@kwant-project.org" <kwant-discuss@kwant-project.org>
Subject: [EXTERNAL] [Kwant] plotting band structure of bulk 2D material along high symmetry lines in the Brillouin zone
Dear kwant developers and users,
I want to calculate and plot the band structure of bulk 2D material along some high-symmetry lines in the Brillouin zone (e.g. Gamma-->K-->M--Gamma), i.e. the 1D band structure.
I found that someone already posted a relevant issue and some useful solutions were also given. For example, see https://kwant-discuss.kwant-project.narkive.com/2fT27IJh/kwant-for-bulk-system.
However, these solutions are only for calculating and plotting the full 2D band structure in the Brillouin zone.
Can anyone give some useful solutions to my concern? Your help is much appreciated.
Thank you and best regards,
Kuangyia Lee
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