Effects of symmetry crossover in quantum transport in graphene and nanotubes

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 366, Issue 1863, 2008, Pages 221-229

  Ando, Tsuneya ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Berry's phase; Carbon nanotube; Graphite; Impurity scattering

Indexed keywords

BACKSCATTERING; CARBON NANOTUBES; ELECTRIC CONDUCTIVITY; LATTICE CONSTANTS; POTENTIAL ENERGY;

EFFECTIVE-MASS DESCRIPTION; GRAPHENE;

QUANTUM THEORY;

EID: 40849140890     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2007.2150     Document Type: Article

References (18)

1. Ajiki, H. & Ando, T. 1993 Electronic states of carbon nanotubes. J. Phys. Soc. Jpn 62, 1255-1266. (doi:10.1143/JPSJ.62.1255)
2. Ajiki, H. & Ando, T. 1996 Energy bands of carbon nanotubes in magnetic fields. J. Phys. Soc. Jpn 65, 505-514. (doi:10.1143/JPSJ.65.505)
3. Altshuler, B. L., Aronov, A. G. & Spivak, B. Z. 1981 The Aronov-Bohm effect in disordered conductors. JETP Lett. 33, 94.
4. Ando, T. 2002 Dynamical conductivity in metallic carbon nanotubes. J. Phys. Soc. Jpn 71, 2505-2511. (doi:10.1143/JPSJ.71.2505)
5. Ando, T. 2005 Theory of electronic states and transport in carbon nanotubes. J. Phys. Soc. Jpn 74, 777-817. (doi:10.1143/JPSJ.74. 777)
6. Ando, T. 2006 Aharonov-Bohm effect and symmetry crossover in carbon nanotubes. J. Phys. Soc. Jpn 75, 054701. (doi:10.1143/JPSJ.75. 054701)
7. Ando, T. & Nakanishi, T. 1998 Impurity scattering in carbon nanotubes-absence of back scattering. J. Phys. Soc. Jpn 67, 1704 1713. (doi:10.1143/JPSJ.67.1704)
8. Ando, T. & Suzuura, H. 2002 Presence of perfectly conducting channel in metallic carbon nanotubes. J. Phys. Soc. Jpn 71, 2753-2760. (doi:10.1143/JPSJ.71.2753)
9. Ando, T., Nakanishi, T. & Saito, R. 1998 Berry's phase and absence of back scattering in carbon nanotubes. J. Phys. Soc. Jpn 67, 2857-2862. (doi:10.1143/JPSJ.67.2857)
10. Asada, Y. & Ando, T. 2006 Numerical study of the dynamical conductivity in carbon nanotubes. J. Phys. Soc. Jpn 75, 094711. (doi:10.1143/JPSJ.75.094711)
11. Berry, M. V. 1984 Quantal phase factors accompanying adiabatic changes. Proc. R. Soc. A 392, 45-57. (doi:10.1098/rspa.1984.0023)
12. McCann, E., Kechedzhi, K., Falko, V. I., Suzuura, H., Ando, T. & Altshuler, B. L. 2006 Weak-localization magnetoresistance and valley symmetry in graphene. Phys. Rev. Lett. 97, 146805. (doi:10.1103/PhysRevLett. 97.146805)
13. Nakanishi, T. & Ando, T. 1999 Numerical study of impurity scattering in carbon nanotubes. J. Phys. Soc. Jpn 68, 561-566. (doi:10.1143/JPSJ.68.561)
14. Sharvin, D. Yu. & Sharvin, Yu. V. 1981 Magnetic-flux quantization in a cylindrical film of a normal metal. JETP Lett. 34, 272-275.
15. Slonczewski, J. C. & Weiss, P. R. 1958 Band structure of graphite. Phys. Rev. 109, 272-279. (doi:10.1103/PhysRev.109.272)
16. Suzuura, H. & Ando, T. 2002 Crossover from symplectic to orthogonal class in a two-dimensional honeycomb lattice. Phys. Rev. Lett. 89, 266603. (doi:10.1103/PhysRevLett.89.266603)
17. Suzuura, H. & Ando, T. 2006 Weak-localization in metallic carbon nanotubes. J. Phys. Soc. Jpn 75, 024703. (doi:10.1143/JPSJ.75. 024703)
18. Wallace, P. R. 1947 The band theory of graphite. Phys. Rev. 71, 622-634. (doi:10.1103/PhysRev.71.622)