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Theory seminar: Electronic and optical properties of graphene (S13)
Theory seminar: Electronic and optical properties of graphene (2 Std., 4 Cr.)
Organizers
Prerequisites
- Advanced quantum mechanics
- Solid-state physics
Meeting times
First meeting: Wednesday April 17, 11:45 in P812All other meetings: Thursday at 11:45 in G227
Topics
We will follow the book by Katsnelson (Graphene: Carbon in two dimensions, Cambridge University Press, 2012), proceeding more or less chapter by chapter. The list of dates, topics and presenters is as follows.
Week | Date | Topic | Presenter | Material |
---|---|---|---|---|
1 | Apr. 17 | Organizational meeting | ||
2 | Apr. 25 | The electronic structure of monolayer graphene | Andor Kormányos | slides |
3 | May 2 | The electronic structure of multilayer graphene | Marko Rančić | slides |
4 | May 9 | (holiday) | ||
5 | May 16 | Quantum transport via evanescent waves | Milan Holzäpfel | slides |
6 | May 23 | Electron states in a magnetic field | Robert Siebler | slides |
7 | May 30 | (holiday) | ||
8 | June 6 | (break) | ||
9 | June 13 | Edges, nanoribbons and quantum dots | Dirk Wiedmann | slides |
10 | June 20 | The Klein paradox and chiral tunnelling | Werner Schosser | slides |
11 | June 27 | Point defects | Fabian Paschke | slides |
12 | July 4 | Optics and response functions | Matthias Droth | slides |
13 | July 11 | Crystal lattice dynamics and Raman spectrum | Heng Wang | slides |
14 | July 18 | The relativistic Coulomb problem | Julien Rioux | slides |
Requirements
- Give a 45-minute presentation on your selected topic
- Write a 5-page report due one week following your presentation
- Attend the presentations from the other participants
Literature
General resource and electronic structure- M. I. Katsnelson, Graphene: Carbon in two dimensions (Cambridge University Press, 2012)
- E. McCann, Electronic properties of monolayer and bilayer graphene, in Graphene Nanoelectronics: Metrology, Synthesis, Properties and Applications (Springer-Verlag, 2012), pp. 237-275; arXiv:1205.4849
- A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov & A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys. 81, 109 (2009)
- R. Saito, G. Dresselhaus & M. S. Dresselhaus, Physical properties of carbon nanotubes (Imperial College Press, 1998)
- W. Nolting, Grundkurs Theoretische Physik 7 (Springer-Verlag, 2005)
- J. D. Jackson, Classical Electrodynamics (Wiley & Sons, 1962)
- A. S. Mayorov, D. C. Elias, M. Mucha-Kruczynski, R. V. Gorbachev, T. Tudorovskiy, A. Zhukov, S. V. Morozov, M. I. Katsnelson, V. I. Fal'ko, A. K. Geim & K. S. Novoselov, Interaction-driven spectrum reconstruction in bilayer graphene, Science 333, 860 (2011); arXiv:1108.1742
- Z. Jiang, Y. Zhang, Y.-W. Tan, H.L. Stormer & P. Kim, Quantum Hall effect in graphene, Solid State Commun. 143, 14 (2007)
- J. C. Cuevas & E. Scheer, Molecular electronics (World Scientific Publishing, 2010)
- S. Datta, Electronic transport in mesoscopic systems (Cambridge University Press, 1995)
- A. Böhm, The geometric phase in quantum systems (Springer-Verlag, 2003)
- K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos & A. A. Firsov, Two-dimensional gas of massless Dirac fermions in graphene, Nature 438, 197 (2005); arXiv:cond-mat/0509330
- A. S. Mayorov, D. C. Elias, I. S. Mukhin, S. V. Morozov, L. A. Ponomarenko, K. S. Novoselov, A. K. Geim & R. V. Gorbachev, How close can one approach the Dirac point in graphene experimentally?, Nano Lett. 12, 4629 (2012); arXiv:1206.3848
- T. Ando, T. Nakanishi & R. Saito, Berry's phase and absence of back scattering in carbon nanotubes, J. Phys. Soc. Jpn. 67, 2857 (1998)
- Katsnelson, M. I. and Novoselov, K. S. and Geim, A. K., Chiral tunnelling and the Klein paradox in graphene, Nat. Phys. 2, 620 (2006); arXiv:cond-mat/0604323
- O. V. Yazyev, Emergence of magnetism in graphene materials and nanostructures, Rep. Prog. Phys. 73, 056501 (2010); arXiv:1004.2034
- O. Roslyak, G. Gumbs & D. Huang, Graphene nanoribbons in criss-crossed electric and magnetic fields, Phil. Trans. R. Soc. A 368, 5431 (2010)
- B. Mandal, Exploring the electronic structure of graphene quantum dots, J. Nanopart. Res. 14, 1317 (2012)
- S. Yuan, H. De Raedt, M. I. Katsnelson, Modeling electronic structure and transport properties of graphene with resonant scattering centers, Phys. Rev. B 82, 115448 (2010); arXiv:1007.3930
- M. M. Ugeda, D. Fernández-Torre, I. Brihuega, P. Pou, A. J. Martínez-Galera, R. Pérez & J. M. Gómez-Rodríguez, Point defects on graphene on metals, Phys. Rev. Lett. 107, 116803 (2011)
- M. M. Ugeda, I. Brihuega, F. Guinea & J. M. Gómez-Rodríguez, The missing atom as a source of carbon magnetism, Phys. Rev. Lett. 104, 096804 (2010)
- V. M. Pereira, F. Guinea, J. M. B. Lopes dos Santos, N. M. R. Peres & A. H. Castro Neto, Disorder induced localized states in graphene, Phys. Rev. Lett. 96, 036801 (2006)
- B. R. K. Nanda, M. Sherafati, Z. S. Popović & S. Satpathy, Electronic structure of the substitutional vacancy in graphene: Density-functional and Green’s function studies, New J. Phys. 14, 083004 (2012)
- T. Stauber, N. M. R. Peres & F. Guinea, Electronic transport in graphene: A semi‐classical approach including midgap states, Phys. Rev. B 76, 205423 (2007)
- R. R. Nair, P. Blake, A. N. Grigorenko, K. S. Novoselov, T. J. Booth, T. Stauber, N. M. R. Peres & A. K. Geim, Fine structure constant defines visual transparency of graphene, Science 320, 1308 (2008); arXiv:0803.3718
- L. J. Karssemeijer & A. Fasolino, Phonons of graphene and graphitic materials derived from the empirical potential LCBOPII, Surf. Sci. 605, 1611 (2011)
- A. C. Ferrari & D. M. Basko, Raman spectroscopy as a versatile tool for studying the properties of graphene, Nat. Nanotech. 8, 235 (2013)
- L. M. Malard, M. A. Pimenta, G. Dresselhaus & M. S. Dresselhaus, Raman spectroscopy in graphene, Phys. Rep. 473, 51 (2009)
- V N. Kotov, B. Uchoa, V. M. Pereira, F. Guinea & A. H. Castro Neto, Electron-electron interactions in graphene: Current status and perspectives, Rev. Mod. Phys. 84, 1067 (2012); arXiv:1012.3484
- Y. Wang, V. W. Brar, A. V. Shytov, Q. Wu, W. Regan, H.-Z. Tsai, A. Zettl, L. S. Levitov & M. F. Crommie, Mapping Dirac quasiparticles near a single Coulomb impurity on graphene, Nat. Phys. 8, 653 (2012); arXiv:1205.3206
- D. C. Elias, R. V. Gorbachev, A. S. Mayorov, S. V. Morozov, A. A. Zhukov, P. Blake, L. A. Ponomarenko, I. V. Grigorieva, K. S. Novoselov, F. Guinea & A. K. Geim, Dirac cones reshaped by interaction effects in suspended graphene, Nat. Phys. 7, 701 (2011); arXiv:1104.1396