Author Topic: Transmission Spectrum vs bandstructure  (Read 124 times)

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Offline Nayab Shiraz

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Transmission Spectrum vs bandstructure
« on: May 7, 2019, 16:47 »
Is is true that the number of bands crossing the fermi energy level should be equal to the transmission coefficient at fermi level?

Offline Petr Khomyakov

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Re: Transmission Spectrum vs bandstructure
« Reply #1 on: May 8, 2019, 09:13 »
I would say vice versa. The transmission coefficient of a perfect bulk system for a given energy (e.g., the Fermi energy), spin, and (k_A, k_B)-point (A and B are directions perpendicular to the transport direction) is given by the number of band crossings given by solution of the following equation E(k_A, k_B, k_C) = E_Fermi with respect to k_C.

If one wants to account for spin degeneracy, one should multiply the transmission coefficient by a factor of 2. To get the total transmission for a given energy, one has to integrate it over the 2D Brillouin zone, i.e., over k_A and k_B.

Offline Nayab Shiraz

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Re: Transmission Spectrum vs bandstructure
« Reply #2 on: May 13, 2019, 16:44 »
Thank you so much for clarification :)