edge states in the quantum Hall regime
Hello everyone, I am currently working on the quantum Hall regime. More precisely I want to know the position of the edge states from the edges my sample. Say I have a bar connected to two leads. Is the integration of the charge density over energy the best way to find the location of the edge states? I was wondering if the average of the position operator was something accessible. Do you guys have any thoughts on that? Benoit
Hi Gaury, It's relatively simple: you can just make an infinite stripe with magnetic field, finalize it, and get access to the propagating states at the Fermi level using the modes() method. This will give you access to the transverse profile of every edge state (together with their momentum and velocities, see http://kwant-project.org/doc/1.0/reference/generated/kwant.physics.Propagati...). Note however that this is rather inaccurate, since to get the correct positions of the edge states one needs to take electrostatics into account, something that is not yet available in Kwant. Best, Anton On Wed, Dec 4, 2013 at 7:45 PM, GAURY Benoit 229701 <Benoit.GAURY@cea.fr> wrote:
Hello everyone,
I am currently working on the quantum Hall regime. More precisely I want to know the position of the edge states from the edges my sample. Say I have a bar connected to two leads. Is the integration of the charge density over energy the best way to find the location of the edge states?
I was wondering if the average of the position operator was something accessible.
Do you guys have any thoughts on that?
Benoit
participants (2)
-
Anton Akhmerov -
GAURY Benoit 229701