Spectral properties of a Dirac operator arising in models of graphene
Seminar Room 1, Newton Institute
AbstractWe consider a Dirac operator which arises in modeling conduction within potential channels in graphene. For long uniform channels this reduces to a 1-dimensional linear spectral pencil problem for a Dirac operator with mass and a potential representing the channel cross section; a coupling constant in front of the potential is considered as the spectral parameter. Basic spectral properties are studied, together with the spectral asymptotics for large coupling constants. The latter show a surprisingly subtle dependence on the variation of the potential's sign and regions on which it is identically zero.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.