Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-06-04
Phys. Rev. Lett. 105: 156801,2010
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages (+ 2 pages of supplementary material), 3 figures
Scientific paper
10.1103/PhysRevLett.105.156801
We demonstrate that the electronic spectrum of graphene in a one-dimensional periodic potential will develop a Landau level spectrum when the potential magnitude varies slowly in space. The effect is related to extra Dirac points generated by the potential whose positions are sensitive to its magnitude. We develop an effective theory that exploits a chiral symmetry in the Dirac Hamiltonian description with a superlattice potential, to show that the low energy theory contains an effective magnetic field. Numerical diagonalization of the Dirac equation confirms the presence of Landau levels. Possible consequences for transport are discussed.
Brey Luis
Fertig Herbert A.
Sun Jianmin
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