Hello Anton,

thank you a lot for your quick reply. So I had a false expectation about the 
PHS.  The paper is actually helpful to me and solves my understanding problem.


Best,

Richard

________________________________
From: Anton Akhmerov <anton.akhmerov...@gmail.com>
Sent: Wednesday, February 17, 2021 9:12:55 AM
To: Richard Gerhard Hess
Cc: kwant-discuss@python.org
Subject: Re: [Kwant] Question: PHS symmetry of conductance in NS junctions

Hi Richard,

Andreev conductivity isn't expected to be symmetric outside of the
gap, so that's correct. For a related discussion check out
https://arxiv.org/abs/1905.05438

Best,
Anton

On Tue, 16 Feb 2021 at 10:32, Richard Gerhard Hess
<richardgerhard.h...@unibas.ch> wrote:
>
> Dear all,
>
>
> I have a question regarding the conductance in normal-superconductor 
> junctions. I expect the conductance to be particle-hole symmetric, since the 
> scattering region and the leads obey PHS. However, downloading the tutorial 
> 2.6 and extending the energy interval, for which the conductance is 
> calculated, to negative values, results in a  not particle-hole symmetric 
> conductance spectrum above the gap. The conductance takes larger values for  
> positive energies above the gap.  Removing the superconducting lead and 
> choosing a long superconducting section leads to the same sub-gap 
> conductance. This was already discussed in the Kwant forum and makes sense to 
> me. However, in this setup I observe a symmetric spectrum for large energies. 
> The conductance for negative and positive energies agree. What is reason for 
> this behaviour?
>
>
> The code "3_advanced_concepts", which was shared in the recent  Kwant 
> workshop, gives the same result. I mean the Majorana part and not the 
> topological insulator example. This effect of broken PHS is strongly 
> pronounced near the topological phase transition, since the gap closes. If I 
> consider a NSN junction, then I observe even not particle hole symmetric sub 
> gap states: The sub-gap states are at the same bias but do not have always 
> the same peak height in the conductance.
>
>
>
> Why does this happen? Maybe it is obvious, but I can not see it right now. 
> The PHS is not broken! What I am missing here and what is the physical 
> explanation?
>
>
> Best regards,
>
> Richard
>
>

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