Hi Shivang, The transmitted wave function transmitted in the mode m (and coming from the mode n) is:
t_mn exp(i k_m). > Since you have the transmitted amplitudes and the wavenumbers k_m, you have everything for your request. I hope this helps. Adel On Fri, Jun 8, 2018 at 11:09 PM, Shivang Agarwal < shivang.agar...@iitgn.ac.in> wrote: > Hi, > > I had one more query. Would it be possible to calculate and plot the > magnitude and phase of the complex wave function of each transmission mode > separately? > > Regards, > Shivang > > On Thu, Jun 7, 2018 at 8:29 PM Shivang Agarwal < > shivang.agar...@iitgn.ac.in> wrote: > >> Hi Abbout, >> >> Thanks for swift response. >> Indeed, the kwant.wavefunction module gives me a complex number. I had >> been working on probability (wavefunction squared) and had overlooked the >> phase part. A noob mistake. >> >> Appreciate your help! >> >> Shivang >> >> On Thu, Jun 7, 2018 at 11:53 AM Abbout Adel <abbout.a...@gmail.com> >> wrote: >> >>> Dear Shivang, >>> >>> To get the matrix Gamma you can do: >>> >>> sys = sys.finalized() >>> lead_L = sys.leads[0] >>> Sigma_L = lead_L.selfenergy(energy) >>> Gamma_L = -2*imag(Sigma_L) >>> >>> You can find the details in this answer by Joseph [1]. >>> To get directly the transmission matrix t you can do: >>> t=kwant.smatrix(sys,energy, *out_leads=[1]*, *in_leads=[0]*).data >>> #I suppose you have just two leads. >>> >>> Now, since your aim is to get the wave function, the module >>> kwant.wavefunction gives you the wavefunction as a complex number (module >>> and *phase*). So, your claim that you are unable to get the phase is >>> confusing! >>> >>> I hope this helps. >>> Adel >>> >>> [1] https://mailman-mail5.webfaction.com/pipermail/ >>> kwant-discuss/2015-May/000355.html >>> >>> >>> >>> Abbout Adel >>> >>> On Wed, Jun 6, 2018 at 11:53 PM, Shivang Agarwal < >>> shivang.agar...@iitgn.ac.in> wrote: >>> >>>> 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 >>>> >>> >>> >>> >>> -- >>> Abbout Adel >>> >> >> >> -- >> *Shivang Agarwal* >> Junior Undergraduate >> Discipline of Electrical Engineering >> IIT Gandhinagar >> >> Contact: +91-9869321451 >> > > > -- > *Shivang Agarwal* > Junior Undergraduate > Discipline of Electrical Engineering > IIT Gandhinagar > > Contact: +91-9869321451 > -- Abbout Adel
