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2D dirac equation for graphene

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Hi,

I am trying to simulate graphene using Dirac equation in 2D. First, I wanted to try something simple like free particle and particle in a box using Dirac equation (rather than Schrodinger equation). I used PDE modes -> PDE, Coefficient Form -> Eigenvalue analysis. I put 'u1 u2' as the dependent variables and enter the coefficient as in the Dirac equation. For boundary condition, I specified 'u' to be zero at the boundaries (particle in a box).

However, the result that I got indicate the energy level (eigenvalues) as complex numbers and the wavefunctions spread out to the edge as attached (not form a standing wave pattern as expected).

I don't know what wrong with the model. Note that, I tried with Schrodinger equation and it works. So, the differences are only the equations in subdomain.

Any idea will be much appreciated. Thank you in advance.

Sansiri


1 Reply Last Post 25 feb 2011, 08:02 GMT-5
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Hello Sansiri

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Posted: 1 decade ago 25 feb 2011, 08:02 GMT-5
Dear Sansiri,

Did you managed to get your model working? If not you could try upload your model file, this would make it a lot easier to find problems with your model and try and solve them.

Best Wishes

Daniel
Dear Sansiri, Did you managed to get your model working? If not you could try upload your model file, this would make it a lot easier to find problems with your model and try and solve them. Best Wishes Daniel

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