%0 Journal Article %1 sourrouille2017landau %A Sourrouille, Lucas %D 2017 %K cond-mat graphene %T Landau Levels for monolayer graphene in the symmetric gauge %U http://arxiv.org/abs/1705.09821 %X Starting from the symmetric gauge and the zero modes of the monolayer graphene Dirac equation, we develop a mechanism to construct the eigenvalues and its eigenfunctions. Specifically, we show that for positive configurations of magnetic fields, we can construct the successive eigenstates from the zero energy state with negative chirality. We also show that for negative magnetic fields, the eigenstates may be constructed form the zero mode with positive quirality. In addition, we discuss the implications that the Aharonov-Casher theorem, for zero energy states, has in our problem

@article{sourrouille2017landau, abstract = {Starting from the symmetric gauge and the zero modes of the monolayer graphene Dirac equation, we develop a mechanism to construct the eigenvalues and its eigenfunctions. Specifically, we show that for positive configurations of magnetic fields, we can construct the successive eigenstates from the zero energy state with negative chirality. We also show that for negative magnetic fields, the eigenstates may be constructed form the zero mode with positive quirality. In addition, we discuss the implications that the Aharonov-Casher theorem, for zero energy states, has in our problem}, added-at = {2017-05-31T00:08:38.000+0200}, author = {Sourrouille, Lucas}, biburl = {https://www.bibsonomy.org/bibtex/2c3a72ab785373832486a25d46f5b3ba5/vindex10}, description = {Landau Levels for monolayer graphene in the symmetric gauge}, interhash = {3261ae1fe9f5139c69cb9f51da10238e}, intrahash = {c3a72ab785373832486a25d46f5b3ba5}, keywords = {cond-mat graphene}, note = {cite arxiv:1705.09821Comment: 15 pages, 0 figures}, timestamp = {2017-05-31T00:08:38.000+0200}, title = {Landau Levels for monolayer graphene in the symmetric gauge}, url = {http://arxiv.org/abs/1705.09821}, year = 2017 }