tbg_and_tdbg_band_structures

This repository holds the codes to generate the tBG and tBG band structures

https://github.com/olesmatsyshyn/tbg_and_tdbg_band_structures

Science Score: 67.0%

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CITATION.cff file
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Last synced: 10 months ago · JSON representation ·

Repository

This repository holds the codes to generate the tBG and tBG band structures

Basic Info

Host: GitHub
Owner: OlesMatsyshyn
License: cc0-1.0
Language: MATLAB
Default Branch: main
Homepage:
Size: 1.93 MB

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Forks: 1
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Created about 2 years ago · Last pushed 11 months ago

Metadata Files

Readme License Citation

README.md

Twisted Multilayers

This repository contains open-access codes for simulating simple twisted multilayer graphene systems.

If you find this repository useful, please consider citing it or acknowledging the shared code in your work. Your support is greatly appreciated.

Section A: Twisted Bilayer Graphene (TBG)

To generate the band structure for twisted bilayer graphene, run the script TBG_BandStructure.m in MATLAB.

Relevant References:

The following papers were instrumental in the development and understanding of the TBG model:

The MATLAB code heavily references Ref. [A1] and successfully reproduces FIG. 2a from this reference.

For any issues or questions, feel free to contact me at: oles.matsyshyn@gmail.com

Section B: Twisted Double Bilayer Graphene (TDBG)

The primary goal of this project was to develop code for twisted double-bilayer graphene (TDBG). The TBG code served as the foundation for this development.

To generate the band structure for twisted double-bilayer graphene, run the script TDBG_BandStructure.m in MATLAB.

Key References:

The following resources were critical for understanding and building the TDBG model:

B1. Berry Curvature Dipole Senses Topological Transition in a Moiré Superlattice, Nature Physics (2022)
B2. Microscopic Pairing Mechanism, Order Parameter, and Disorder Sensitivity in Moiré Superlattices: Applications to Twisted Double-Bilayer Graphene, Physical Review B (2020)
(Focus on Appendix A; the code reproduces FIG. 5 from this paper.)

Additional Recommended Readings:

For further insights, consider exploring the following:

This concludes the key information about the repository. The codes have been thoroughly tested and are operational.

Owner

Name: Oles Matsyshyn
Login: OlesMatsyshyn
Kind: user
Location: Singapore
Company: Nanyang Technological University

Repositories: 2
Profile: https://github.com/OlesMatsyshyn

I am a condensed matter physicist with comprehensive programming skills.

Citation (CITATION.cff)

@software{Matsyshyn_tDBG_2024,
  author = {Matsyshyn, Oles},
  doi = {10.5281/zenodo.1234},
  title = {{tBG/tDBG effective continuum band structures}},
  url = {https://github.com/OlesMatsyshyn/tBG_and_tDBG_band_structures},
  version = {1.00},
  year = {2024}
}

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