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Emerging Zero Modes for Graphene in a Periodic Potential
Open accessAbstract
We investigate the effect of a periodic potential on the electronic states and conductance of graphene. It is demonstrated that for a cosine potential V(x) = V_{0}cos(G_{0}x), new zero energy states emerge whenever J0(2V_{0}/variant Planck's over 2piv_{F}G_{0}) = 0. The phase of the wave functions of these states is shown to be related to periodic solutions of the equation of motion of an overdamped particle in a periodic potential, subject to a periodic force. Numerical solutions of the Dirac equation confirm the existence of these states, and demonstrate the chirality of states in their vicinity. Conductance resonances are shown to accompany the emergence of these induced Dirac points.
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Cites
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
Two-dimensional gas of massless Dirac fermions in graphene
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I. V., Dubonos, S. V., & Firsov, A. A. (2005) · Nature · doi:10.1038/nature04233 · Cited by 21,611
Quantum interference and Klein tunnelling in graphene heterojunctions
Young, A. F., & Kim, P. (2009) · Nature Physics · doi:10.1038/nphys1198 · Cited by 1,183
Evidence for Klein Tunneling in Graphene p − n Junctions
Stander, N., Huard, B., & Goldhaber-Gordon, D. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.026807 · Cited by 792
Cited by
Vafek, O., & Vishwanath, A. (2014) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031113-133841 · Cited by 614
Metadata
- Authors
- Brey, L., & Fertig, H. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-07-24
- Volume
- 103
- Issue
- 4
- Pages
- 046809-046809
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2042779133
- Cited by
- 252
- References
- 4
- FWCI
- 12.60
- Type
- journal article
- Language
- en
- Open access
- green
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