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BertJorissen avatar BertJorissen commented on September 22, 2024

Hi Yangxing
currently, pybinding has no support for constructing non-hermitian matrices/hamiltonians.
The eigenvalues will be complex, and this will break a lot of things in the background.
Also, when you add a hopping, lets say from site numbered (10) to a site numbered (12), the other hopping (12) -> (10) is added automatically. Setting (12) -> (10) by hand afterwards will result in an error.
However, when you have a Hamiltonian for a large system (lets say, some buckled graphene), you can add some non-hermitian element by hand by obtaining the hamiltonian with model.hamiltonian. This will be at the k-point you set with model.set_wave_vector([kx,ky,kz]).
Be carefull, the hamitlonian is the transpose of the normal convention; in the basis <from|H|to> instead of the <to|H|from> basis. As this only would change some factors in the normal calculations, this is normally not a problem but it worth the attention if you want to investigate non-hermitian systems.
Feel free to ask more questions if you need more help.
Best
Bert

from pybinding.

yangxing844 avatar yangxing844 commented on September 22, 2024

Thank you very much!

from pybinding.

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