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June 2018

14 participants
12 discussions

Coupling Matrix between Lead and Conductor
by Shivang Agarwal June 12, 2018

June 12, 2018

Hello authors, I am trying to perform an eigenchannel analysis of a graphene nanoribbon. For that I will be using the formula : *T(E) = ГL(E)½ GC†(E) ГR(E) GC(E) ГL(E)½ * where *ГL(E)* is the coupling matrix between the left lead and the conductor, *GC(E)* is the greens function matrix of the conductor (system) and '†' is the dagger operator. The equation is from the following paper: https://journals.aps.org/prb/pdf/10.1103/PhysRevB.73.075429 (1) Now as far as I know, Kwant allows us to calculate transmission as a number T(E). What I need for my code is 't' where Trace(t*†*t) = T(E). Could somebody let me know how can I get the desired quantity 't'?. But I don't know how I can get the coupling matrix *ГL(E) between the left (or right) lead and the conductor* (2) Also, we know that t = *ГL(E)½ GC(E) ГR(E)½ .But I don't know how I can get the coupling matrix ГL(E) between the left (or right) lead and the conductor. Is it possible to get too?* *PS - My aim is to find the wavefunctions inside the nanoribbon (which Kwant can do very conveniently) and also their phases! I have found the wavefunctions but am unable to find their phases. If there's any other way to find it that would also be extremely helpful.* *Any help would be greatly appreciated.* *Thanks and Regards,* *Shivang Agarwal* -- *Shivang Agarwal* Junior Undergraduate Discipline of Electrical Engineering IIT Gandhinagar Contact: +91-9869321451

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Changing the potential in a continuum Hamiltonian
by Jonas.Wiedenmann＠physik.uni-wuerzburg.de June 4, 2018

June 4, 2018

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