well i am trying to generate the spin orbital coupling in the graphne lattice...or I should say I am looking for Quantum spin hall effect .Here i am using 2x2 matrix.I am not very sure about this also.As gien in tutorial SOI is -i*alpha(delx*sigma_y-dely*sigma_x),which gives me hopping in x and y diretions respectively.Here in graphene lattice the hopping is 3 different directions as i mentioned in last post .and i want to write hop for these .Do I need to take the sin cos component of above expression or what ?
please help.thank you


ANANT VIJAY VARMA
M.Tech. STUDENT
CENTER FOR CONVERGING TECHNOLOGIES
UNIVERSITY OF RAJASTHAN
JAIPUR

On Fri, Nov 7, 2014 at 5:33 PM, <kwant-discuss-request@kwant-project.org> wrote:
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   1. Re:  About spin orbital coupling (Joseph Weston)


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Message: 1
Date: Thu, 06 Nov 2014 14:08:24 +0100
From: Joseph Weston <joseph.weston@cea.fr>
To: kwant-discuss@kwant-project.org
Subject: Re: [Kwant] About spin orbital coupling
Message-ID: <545B72C8.8060103@cea.fr>
Content-Type: text/plain; charset="iso-8859-1"

On 06/11/14 08:45, ANANT wrote:
> Hello everyone. I am applying the spin orbit coupling to the honeycomb
> lattice but there are three different kind of hopping and I am writing this
>
>
> sys[lat.shape(shape, (2.46, 0))] =onsite
> sys[kwant.builder.HoppingKind((0, 0), A,B )]= -t * s_0 - 1j * alpha * s_y
>
> sys[kwant.builder.HoppingKind((0,1), A,B )] = -t * s_0 + 1j * alpha * s_x
>
> sys[kwant.builder.HoppingKind((-1,1), A,B )] = -t * s_0 + 1j * alpha * s_x
>
> But this is not right .What should I write in place of this.? please help me
> thank yo u in advance

Hello,

Can you be a bit more specific about what it is that you are doing:
        - what model are you are using for spin orbit?
        - what is the expected output?
        - what is the actual output?

It is always useful to be as specific as possible, especially through
the medium of email.

Thanks,

Joe



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