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I'm reading a paper (please find it herearXiv 1003.2193v1) on zigzag Graphene nanoribbon (ZGNR). It discusses the electron transmission through a p-n interface. The wave function matching method was employed to calculate the transmission. What I don't understand is as follows:

In the paper, a quantity, t(y), called the transmission prob. density was introduced. I tried to understand its meaning but failed. It is my understanding that, on the two sides of the p-n interface the transverse wave number takes different values, i.e., ky1~=ky2; as a result, the transverse component of the total wave function takes different forms on these sides; hence, to match the wave functions for every point along the interface, it seems impossible unless the wave function vanishes on one side. I could not figure out how they get around this problem.

Can anybody help me out?

Thanks a lot in advance !!

hiyok

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# Wave function matching in Graphene nano ribbob?

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