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2D dirac equation for graphene
Posted 30 mar 2010, 14:34 GMT-4 1 Reply
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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
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Hello Sansiri
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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