Electrically tunable transverse magnetic focusing in graphene

Nature Physics

Volumn 9, Issue 4, 2013, Pages 225-229

  Taychatanapat, Thiti ^a,b   Watanabe, Kenji ^c   Taniguchi, Takashi ^c   Jarillo Herrero, Pablo ^b  

^a HARVARD UNIVERSITY   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c NATIONAL INSTITUTE FOR MATERIALS SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BALLISTICS; ELECTRIC FIELDS; ELECTRON SPECTROSCOPY; ELECTRONIC STRUCTURE; ELECTRONS; FOCUSING; GRAPHENE DEVICES; MAGNETISM; SPECTROSCOPIC ANALYSIS;

ELECTRICALLY TUNABLE; HIGHEST TEMPERATURE; SEMICONDUCTOR HETEROSTRUCTURES; SPIN ORBIT INTERACTIONS; TEMPERATURE APPLICATIONS; TRANSVERSE ELECTRIC FIELD; TRANSVERSE MAGNETIC; TRANSVERSE MAGNETIC FIELD;

GRAPHENE;

EID: 84876420917     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys2549     Document Type: Article

References (31)

1. Bloch, F. Über die Quantenmechanik der Elektronen in Kristallgittern. Z. Phys. 52, 555-600 (1929).
2. Tsoi, V. S. Focusing of electrons in a metal by a transverse magnetic field. JETP Lett. 19, 70-71 (1974).
3. Tsoi, V. S., Bass, J. & Wyder, P. Studying conduction-electron/ interface interactions using transverse electron focusing. Rev. Mod. Phys. 71, 1641-1693 (1999).
4. Van Houten, H. et al. Coherent electron focusing with quantum point contacts in a two-dimensional electron gas. Phys. Rev. B 39, 8556-8575 (1989).
5. Rokhinson, L. P., Larkina, V., Lyanda-Geller, Y. B., Pfeiffer, L. N. & West, K. W. Spin separation in cyclotron motion. Phys. Rev. Lett. 93, 146601 (2004).
6. Goldman, V. J., Su, B. & Jain, J. K. Detection of composite fermions by magnetic focusing. Phys. Rev. Lett. 72, 2065-2068 (1994).
7. Smet, J. H. et al. Magnetic focusing of composite fermions through arrays of cavities. Phys. Rev. Lett. 77, 2272-2275 (1996).
8. Dean, C. R. et al. Boron nitride substrates for high-quality graphene electronics. Nature Nanotech. 5, 722-726 (2010).
9. Taychatanapat, T., Watanabe, K., Taniguchi, T. & Jarillo-Herrero, P. Quantum Hall effect and Landau-level crossing of Dirac fermions in trilayer graphene. Nature Phys. 7, 621-625 (2011).
10. Mayorov, A. S. et al. Micrometer-scale ballistic transport in encapsulated graphene at room temperature. Nano Lett. 11, 2396-2399 (2011).
11. Beenakker, C. W. J., van Houten, H. & van Wees, B. J. Mode interference effect in coherent electron focusing. Europhys. Lett. 4, 359-364 (1988).
12. Aidala, K. E. et al. Imaging magnetic focusing of coherent electron waves. Nature Phys. 3, 464-468 (2007).
13. Rakyta, P., Kormányos, A., Cserti, J. & Koskinen, P. Exploring the graphene edges with coherent electron focusing. Phys. Rev. B 81, 115411 (2010).
14. Silvestrov, P. G. & Efetov, K. B. Charge accumulation at the boundaries of a graphene strip induced by a gate voltage: Electrostatic approach. Phys. Rev. B 77, 155436 (2008).
15. McCann, E. & Fal'ko, V. I. Landau-level degeneracy and quantum Hall effect in a graphite bilayer. Phys. Rev. Lett. 96, 086805 (2006).
16. Lu, C. L., Chang, C. P., Huang, Y. C., Chen, R. B. & Lin, M. L. Influence of an electric field on the optical properties of few-layer graphene with AB stacking. Phys. Rev. B 73, 144427 (2006).
17. Guinea, F., Neto, A. H. C. & Peres, N. M. R. Electronic states and Landau levels in graphene stacks. Phys. Rev. B 73, 245426 (2006).
18. Latil, S. & Henrard, L. Charge carriers in few-layer graphene films. Phys. Rev. Lett. 97, 036803 (2006).
19. Partoens, B. & Peeters, F. M. From graphene to graphite: Electronic structure around the K point. Phys. Rev. B 74, 075404 (2006).
20. Koshino, M. & McCann, E. Gate-induced interlayer asymmetryin ABA-stacked trilayer graphene. Phys. Rev. B 79, 125443 (2009).
21. Cheianov, V. V., Falko, V. & Altshuler, B. L. The focusing of electron flow and a veselago lens in graphene p-n junctions. Science 315, 1252-1255 (2007).
22. Hwang, E. H. & Das Sarma, S. Acoustic phonon scattering limited carrier mobilityintwo-dimensional extrinsic graphene.Phys. Rev. B 77, 115449 (2008).
23. x As/InP heterojunctions. Phys. Rev. B 52, 5767-5772 (1995).
24. Schiefele, J., Sols, F. & Guinea, F. Temperature dependence of the conductivity of graphene on boron nitride. Phys. Rev. B 85, 195420 (2012).
25. Liu, Z. et al. Direct growth of graphene/hexagonal boron nitride stacked layers. Nano Lett. 11, 2032-2037 (2011).
26. Mayorov, A. S. et al. Interaction-drive spectrum reconstruction in bilayer graphene. Science 333, 860-863 (2011).
27. Weitz, R. T., Allen, M. T., Feldman, B. E., Martin, J. & Yacoby, A. Broken-symmetry states in doubly gated suspended bilayer graphene. Science 330, 812-816 (2010).
28. Kotov, V. N., Uchoa, B., Pereira, V. M., Guinea, F. & Castro Neto, A. H. Electron-electron interactions in graphene: Current status and perspectives. Rev. Mod. Phys. 84, 1067-1125 (2012).
29. Guinea, F., Katsnelson, M. I. & Geim, A. K. Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering. Nature Phys. 6, 30-33 (2010).
30. Levy, N. et al. Strain-induced pseudo-magnetic fields greater than 300 tesla in graphene nanobubbles. Science 329, 544-547 (2010).
31. Gomes, K. K., Mar, W., Ko, W., Guinea, F. & Manoharan, H. C. Designer Dirac fermions and topological phases in molecular graphene. Nature 483, 306-310 (2012).