Dear Denise,

- First, bound states are the primary source of Josephson current
so you should definitely include them.

- Nevertheless, current should depend on V even without them. There is a subtle
issue here of chemical potential versus electrostatic potential. (versus 
electrochemical potential).
We have a section about it in our physics report article. I strongly recommend 
that you read it.
What you want to do is to fix the chemical potential to be the same for both 
leads which translate into:

occupation_l = tkwant.manybody.make_occupation(mu)
occupation_r = tkwant.manybody.make_occupation(mu)

and V should show up only in the electric potential, i.e. in the function 
phase().

As it is your adding V in the electric potential of the left contact so that at 
the 
end of the day yuo have zero net (electrochemical) bias between the two 
electrodes also they
are of different nature (electric versus chemical). I am not sure how mother 
nature could realize
this setup.

- For perfomances, you should avoid nested python functions in the definition 
of the Hamiltonian.

Other than that it looks good.

Best regards,

Xavier


> Le 20 nov. 2019 à 17:52, Denise Puglia <[email protected]> a écrit :
> 
> Dear community,
> 
> I am trying to simulate the current in a JJ with kwant. So far current 
> oscillates with a phase rate that scales with bias. However, the averaged 
> current does not depend on bias, as show in the plots below. Any idea what 
> might be causing this? For simplicity, I do not consider any bound states in 
> my calculations. Any  suggestions are welcome!
> 
> Best,
> Denise
> 
> Parameters:
> t=1
> mu=t
> Delta=0.02 # superconducting gap
> N=1 #size of the N region
> S=10 #size of the S region
> barrier=1 #barrier in the N region
> 
> <barrier_1_V_1.5.png>
> Same parameters but with barrier =2
> <barrier_2_V_1.5.png>
> <barrier_2_V_0.2.png>
> 
> 
> <SIS_v2(1).py>

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