[Kwant] complex conjugate operator

[张金龙]

Dear developer of Kwant：
I'm a freshman of Kwant. Recently, I want to calculate the conductance of 
Superconductor junction.


Let me take the p+ip topological superconductor as the example. Its Hamiltonian 
is like
with \sigma, \tau is the Pauli matrix for spin and particle-hole.


It have particle-hole symmetry: 
to guarantee 
.
**
My question is how to write down the K (complex conjugate) operator?






Jinlong Zhang



 

Re: [Kwant] complex conjugate operator

[Joseph Weston]

Hi 张金龙,

Thanks for posting to the mailing list.

>  Recently, I want to calculate the conductance of Superconductor
> junction.
>
> Let me take the p+ip topological superconductor as the example. Its
> Hamiltonian is like
> with \sigma, \tau is the Pauli matrix for spin and particle-hole.
>
> It have particle-hole symmetry: 
> to g
> uarantee
>  
> .
> **
> My question is how to write down the K (complex conjugate) operator?


I am not sure what you mean by "write down". You cannot write it down as
a matrix; it's defined by its action on wavefunctions.

I'm not even sure that I understand your question. What are you actually
trying to do? Perhaps reading the tutorial on superconductivity will
help: https://kwant-project.org/doc/1/tutorial/superconductors. The
example in that tutorial shows how to tell a Builder that your system
has particle-hole symmetry.


Happy Kwanting,

Joe