Dear Kwant community,

Thanks for the quick reply.

I plot the band structure and I obtaine the figure I attached. For a
free-particle I expect a band structure like quadratic dispersion (E \sim
k^2). The plot of structure band is nearly quadraic. Is it due to
discretization of the system ? So it means that the wave-function sent to
the left lead (in my example) is not a free-plane-wave ? Is there a way to
control the wave-function injected in the lead ?

Yours sincerely

Lorenzo Bagnsacco

Il giorno mar 18 gen 2022 alle ore 15:40 Anton Akhmerov <
anton.akhmerov...@gmail.com> ha scritto:

> Hi Lorenzo,
>
> You need to compute the transmission at an energy where the leads have
> modes. At E = 10 in your system there aren't any.
>
> Plotting the band structure of the leads helps. Check out also the Kwant
> tutorial at https://kwant-project.org/doc/1/tutorial/
>
> Best,
> Anton
>
> On Tue, 18 Jan 2022 at 15:37, Lorenzo BAGNASACCO <
> lorenzo.bagnasa...@sns.it> wrote:
>
>> Dear Kwant community,
>>
>> I am a physics student and I am approaching to Kwant to solve simple
>> problems of scattering.
>> I am new in Kwant and, for this reason, I'm trying to use Kwnat for basic
>> problems of scattering.
>> The most simple problem in my mind is the scattering of a plane-wave (1
>> dimension) from the left of a potential barrier. If we now suppose the
>> potential barrier is 'zero' everywhere, the scattering matrix, according to
>> the scattering theory, should be 'S={{0,1},{1,0}}'.
>> If I try to compute the reflection and transmission coefficient, I
>> obtained the correct values (1 for reflection and 0 for transmission). But
>> it occurs only for some energies. For example in the code I attached, if I
>> put the value of '10' in  'S=kwant.solvers.default.smatrix(syst,10)' I
>> obtaine for reflection and transmission the value of '0'. Where is my
>> errors? And, is there a way to print the entire elements of the scattering
>> matrix ?
>>
>> Yours sincerely
>>
>> Lorenzo Bagnasacco
>>
>>

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