Hi, in order to calculate the Josephson Current, one possibility is to diagonalize the Hamiltonian of the entire system (Superconductor-Normal-Superconductor) imposing a finite phase between the pairing parameters of the two superconductors, and then evaluate the current by mean of the derivative of the energy spectrum with the phase. Please, for details you could give a look at Refs. (1) and (2). Regards, Jacopo Settino
(1) https://journals.aps.org/prb/pdf/10.1103/PhysRevB.107.L201405 (2) https://journals.aps.org/prb/pdf/10.1103/PhysRevB.96.205425 Il giorno ven 21 apr 2023 alle ore 20:12 <guilhermewe...@gmail.com> ha scritto: > Hi, I'm new to Kwant and I've been looking for calculating Josephson > Current with it. The past three weeks I've been reading a lot the > tutorials, the mailing list and some online courses. The problem is that I > can't get a straight answer on where it is possible to calculate Josephson > current reallistically. The most complete answer was given by J. Weston > here [1], the problem is that the methods suggested are also not so clear, > since I coundn't find tutorials using properly Self-Energy and Green's > function with Kwant. Most of the topics are questions, so they usually are > of people with code not working, so it doesn't point out the proper way to > use. > > So, I'd like to know if I'm missing some tutorials with these subjects, or > some online courses to understand this. The documentation itself is not > enough for the applications (at least for me). I'm learning kwant alone, > there is no one around in my department that even have heard of it. > > Right now I'm got a discontinuous current (only at the junction interface) > through my junction using directly "kwant.operator.Current" and "plotter", > which I think is to be expected due to the issue of the Andreev bound > states. > > Thanks, I'm looking foward to use kwant at higher level > > [1] > https://mail.python.org/archives/list/kwant-discuss@python.org/thread/6IP2QPTD76WUHPQYCBS7HYPAHJKOIQT2/#PXHLSLSLOUOL4XQ533T6SL5MMHRIS4QX > > -- > Guilherme Vieira > Phd Student at Centro Brasileiro de Pesquisas Físicas > Brazil, RJ >
