Ballistic transport in graphene antidot lattices

Physical Review B - Condensed Matter and Materials Physics

Volumn 92, Issue 19, 2015, Pages

  Yagi, Ryuta ^a   Sakakibara, Ryoji ^a   Ebisuoka, Ryoya ^a   Onishi, Jumpei ^a   Watanabe, Kenji ^b   Taniguchi, Takashi ^b   Iye, Yasuhiro ^c  

^a HIROSHIMA UNIVERSITY   (Japan)

^b NATIONAL INSTITUTE FOR MATERIALS SCIENCE   (Japan)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84947222770     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.92.195406     Document Type: Article

References (30)

1. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys. 81, 109 (2009). RMPHAT 0034-6861 10.1103/RevModPhys.81.109
2. A. K. Geim, Graphene: Status and prospects, Science 324, 1530 (2009). 10.1126/science.1158877
3. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, Two-dimensional gas of massless dirac Fermions in graphene, Nature (London) 438, 197 (2005). NATUAS 0028-0836 10.1038/nature04233
4. D. Weiss, M. L. Roukes, A. Menschig, P. Grambow, K. von Klitzing, and G. Weimann, Electron Pinball and Commensurate Orbits in a Periodic Array of Scatterers, Phys. Rev. Lett. 66, 2790 (1991). PRLTAO 0031-9007 10.1103/PhysRevLett.66.2790
5. R. Fleischmann, T. Geisel, and R. Ketzmerick, Magnetoresistance Due to Chaos and Nonlinear Resonances in Lateral Surface Superlattices, Phys. Rev. Lett. 68, 1367 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.68.1367
6. E. M. Baskin, G. M. Gusev, Z. D. Kvon, A. G. Pogosov, and M. V. Entin, Stochastic Dynamics of 2d Electrons in A Periodic Lattice of Antidots, Pis'ma Zh. Eksp. Teor. Fiz. 55, 649 (1992)
7. E. M. Baskin, G. M. Gusev, Z. D. Kvon, A. G. Pogosov, and M. V. Entin, [JETP Lett. 55, 678 (1992)].
8. S. Ishizaka and T. Ando, Detailed analysis of the commensurability peak in antidot arrays with various periods, Phys. Rev. B 55, 16331 (1997). PRBMDO 1098-0121 10.1103/PhysRevB.55.16331
9. R. Schuster, K. Ensslin, J. P. Kotthaus, M. Holland, and C. Stanley, Selective probing of ballistic electron orbits in rectangular antidot lattices, Phys. Rev. B 47, 6843 (1993). PRBMDO 1098-0121 10.1103/PhysRevB.47.6843
10. R. Schuster, G. Ernst, K. Ensslin, M. Entin, M. Holland, G. W. Böhm, and W. Klein, Experimental characterization of electron trajectories in antidot lattices, Phys. Rev. B 50, 8090 (1994). PRBMDO 1098-0121 10.1103/PhysRevB.50.8090
11. F. Nihey, S. W. Hwang, and K. Nakamura, Observation of large h/2e oscillations in semiconductor antidot lattices, Phys. Rev. B 51, 4649 (1995). PRBMDO 1098-0121 10.1103/PhysRevB.51.4649
12. Y. Iye, M. Ueki, A. Endo, and S. Katsumoto, Aharonov-Bohm-type effects in triangular antidot lattice, J. Phys. Soc. Jpn. 73, 3370 (2004). JUPSAU 0031-9015 10.1143/JPSJ.73.3370
13. D. Weiss, K. Richter, A. Menschig, R. Bergmann, H. Schweizer, K. von Klitzing, and G. Weimann, Quantized Periodic-orbits in Large Antidot Arrays, Phys. Rev. Lett. 70, 4118 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.4118
14. F. Nihey and K. Nakamura, Aharonov-Bohm effect in antidot structures, Physica B 184, 398 (1993). 10.1016/0921-4526(93)90388-M
15. J. H. Smet, K. von Klitzing, D. Weiss, and W. Wegscheider, dc Transport of Composite Fermions in Weak Periodic Potentials, Phys. Rev. Lett. 80, 4538 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.4538
16. F. Nihey, K. Nakamura, T. Takamasu, G. Kido, T. Sakon, and M. Motokawa, Orbital quantization of composite fermions in antidot lattices, Phys. Rev. B 59, 14872 (1999). PRBMDO 1098-0121 10.1103/PhysRevB.59.14872
17. J. Eroms, M. Tolkiehn, D. Weiss, U. Rössler, J. de Boeck, and S. Borghs, Chaotic motion and suppression of commensurability effects in an Andreev antidot billiard, Physica E 12, 918 (2002). PELNFM 1386-9477 10.1016/S1386-9477(01)00409-X
18. J. Eroms, D. Weiss, J. De Boeck, G. Borghs, and U. Zülicke, Andreev Reflection at High Magnetic Fields: Evidence for Electron and Hole Transport in Edge States, Phys. Rev. Lett. 95, 107001 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.107001
19. C. Albrecht, J. H. Smet, K. von Klitzing, D. Weiss, V. Umansky, and H. Schweizer, Evidence of Hofstadter's Fractal Energy Spectrum in the Quantized Hall Conductance, Phys. Rev. Lett. 86, 147 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.147
20. J. Shabani, M. Shayegan, and R. Winkler, Strain-Induced Fermi Contour Anisotropy of GaAs 2D holes, Phys. Rev. Lett. 100, 096803 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.096803
21. J. Eroms and D. Weiss, Weak localization and transport Gap in graphene antidot lattices, New J. Phys. 11, 095021 (2009). NJOPFM 1367-2630 10.1088/1367-2630/11/9/095021
22. T. Shen, Y. Q. Wu, M. A. Capano, L. P. Rokhinson, L. W. Engel, and P. D. Ye, Magnetoconductance oscillations in graphene antidot arrays, Appl. Phys. Lett. 93, 122102 (2008). APPLAB 0003-6951 10.1063/1.2988725
23. R. Yagi, M. Shimomura, F. Tahara, H. Kobara, and S. Fukada, Observing Altshuler-Aronov-Spivak oscillation in a hexagonal antidot array of monolayer graphene, J. Phys. Soc. Jpn. 81, 063707 (2012). JUPSAU 0031-9015 10.1143/JPSJ.81.063707
24. T. Ando, Exotic electronic and transport properties of graphene, Physica E 40, 213 (2007). PELNFM 1386-9477 10.1016/j.physe.2007.06.003
25. A. B. Pipard, Magnetoresistance in Metals (Cambridge University Press, Cambridge, UK, 1989).
26. T. J. Thornton, M. L. Roukes, A. Scherer, and B. P. Van de Gaag, Boundary Scattering in Quantum Wires, Phys. Rev. Lett. 63, 2128 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.63.2128
27. S. Masubuchi, K. Iguchi, T. Yamaguchi, M. Onuki, M. Arai, K. Watanabe, T. Taniguchi, and T. Machida, Boundary Scattering in Ballistic Graphene, Phys. Rev. Lett. 109, 036601 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.036601
28. C. R. Dean, A. F. Young, I. Meric, C. Lee, L. Wang, S. Sorgenfrei, K. Watanabe, T. Taniguchi, P. Kim, K. L. Shepard, and J. Hone, Boron Nitride Substrates for High-quality Graphene Electronics, Nat. Nanotechnol. 5, 722 (2010). 1748-3387 10.1038/nnano.2010.172
29. T. Taychatanapat, K. Watanabe, T. Taniguchi, and P. Jarillo-Herrero, Quantum Hall Effect And Landau-level Crossing of Dirac Fermions in Trilayer Graphene, Nat. Phys. 7, 621 (2011). 1745-2473 10.1038/nphys2008
30. P. J. Zomer, S. P. Dash, N. Tombros, and B. J. van Wees, A Transfer Technique for High Mobility Graphene Devices on Commercially Available Hexagonal Boron Nitride, Appl. Phys. Lett. 99, 232104 (2011). APPLAB 0003-6951 10.1063/1.3665405