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arXiv · 1505.02087

Time-dependent massless Dirac fermions in graphene

Boubakeur Khantoul·Andreas Fring
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Abstract

Using the Lewis-Riesenfeld method of invariants we construct explicit analytical solutions for the massless Dirac equation in 2+1 dimensions describing quasi-particles in graphene. The Hamiltonian of the system considered contains some explicit time-dependence in addition to one resulting from being minimally coupled to a time-dependent magnetic field. The eigenvalue equations for the two spinor components of the Lewis-Riesenfeld invariant are found to decouple into a pair of supersymmetric invariants in a similar fashion as the known decoupling for the time-independent Dirac Hamiltonians.

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Boubakeur Khantoul, Andreas Fring. 2015-09-15. Time-dependent massless Dirac fermions in graphene. https://doi.org/10.1016/j.physleta.2015.08.011

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