Hartman effect and spin precession in graphene

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 24, 2009, Pages

  Sepkhanov, R A ^a   Medvedyeva, M V ^a   Beenakker, C W J ^a  

^a UNIVERSITEIT LEIDEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954756348     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.245433     Document Type: Article

References (23)

1. M. Büttiker, in Time in Quantum Mechanics, edited by, J. G. Muga,,, R. Sala Mayato,, and, I. L. Egusquiza, (Springer, Berlin, 2002).
2. A. I. Baz', Sov. J. Nucl. Phys. 4, 182 (1967)
3. Baz', Sov. J. Nucl. Phys. 5, 161 (1967).
4. V. F. Rybachenko, Sov. J. Nucl. Phys. 5, 635 (1967).
5. A. K. Geim and K. S. Novoselov, Nature Mater. 6, 183 (2007). 10.1038/nmat1849
6. N. Tombros, C. Jozsa, M. Popinciuc, H. T. Jonkman, and B. J. van Wees, Nature (London) 448, 571 (2007). 10.1038/nature06037
7. M. Popinciuc, C. Jozsa, P. J. Zomer, N. Tombros, A. Veligura, H. T. Jonkman, and B. J. van Wees, arXiv:0908.1039 (unpublished).
8. J. Tworzydło, B. Trauzettel, M. Titov, A. Rycerz, and C. W. J. Beenakker, Phys. Rev. Lett. 96, 246802 (2006). 10.1103/PhysRevLett.96.246802
9. T. E. Hartman, J. Appl. Phys. 33, 3427 (1962). 10.1063/1.1702424
10. The effect discovered by Hartman is superluminality in the L → ∞ limit. Since the term "superluminality" is inappropriate for graphene, where all velocities remain well below the speed of light, we avoid this term and speak of the Hartman effect also for finite L.
11. H. Winful, Phys. Rep. 436, 1 (2006). 10.1016/j.physrep.2006.09.002
12. M. I. Katsnelson, Eur. Phys. J. B 51, 157 (2006). 10.1140/epjb/e2006- 00203-1
13. E. P. Wigner, Phys. Rev. 98, 145 (1955). 10.1103/PhysRev.98.145
14. F. T. Smith, Phys. Rev. 118, 349 (1960). 10.1103/PhysRev.118.349
15. ) can then be measured as the ratio V 3 / V 1.
16. G. Giovannetti, P. A. Khomyakov, G. Brocks, P. J. Kelly, and J. van den Brink, Phys. Rev. B 76, 073103 (2007). 10.1103/PhysRevB.76.073103
17. S. Y. Zhou, G.-H. Gweon, A. V. Fedorov, P. N. First, W. A. de Heer, D.-H. Lee, F. Guinea, A. H. Castro Neto, and A. Lanzara, Nature Mater. 6, 770 (2007). 10.1038/nmat2003
18. P. W. Brouwer, S. A. van Langen, K. M. Frahm, M. Büttiker, and C. W. J. Beenakker, Phys. Rev. Lett. 79, 913 (1997). 10.1103/PhysRevLett.79.913
19. S. F. Godijn, S. Möller, H. Buhmann, L. W. Molenkamp, and S. A. van Langen, Phys. Rev. Lett. 82, 2927 (1999). 10.1103/PhysRevLett.82.2927
20. F. Miao, S. Wijeratne, Y. Zhang, U. C. Coskun, W. Bao, and C. N. Lau, Science 317, 1530 (2007). 10.1126/science.1144359
21. R. Danneau, F. Wu, M. F. Craciun, S. Russo, M. Y. Tomi, J. Salmilehto, A. F. Morpurgo, and P. J. Hakonen, Phys. Rev. Lett. 100, 196802 (2008). 10.1103/PhysRevLett.100.196802
22. L. DiCarlo, J. R. Williams, Y. Zhang, D. T. McClure, and C. M. Marcus, Phys. Rev. Lett. 100, 156801 (2008). 10.1103/PhysRevLett.100.156801
23. M. Büttiker, Phys. Rev. B 27, 6178 (1983). 10.1103/PhysRevB.27.6178