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Berry's Phase and Absence of Back Scattering in Carbon Nanotubes
Abstract
The absence of back scattering in carbon nanotubes is shown to be ascribed to Berry's phase which corresponds to a sign change of the wave function under a spin rotation of a neutrino-like particle in a two-dimensional graphite. Effects of trigonal warping of the bands appearing in a higher order k · p approximation are shown to give rise to a small probability of back scattering.
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Citations
Cites
Slonczewski, J. C., & Weiss, P. R. (1958) · Physical Review · doi:10.1103/physrev.109.272 · Cited by 1,647
Cited by
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
“This is the so- alledtrigonal warping of the ele troni spe trum (Ando et al.,1998; Dresselhaus and Dresselhaus, 2002).1.”
BackgroundMethodInfluentialExperimental observation of the quantum Hall effect and Berry's phase in graphene
Zhang, Y., Tan, Y.-W., Stormer, H. L., & Kim, P. (2005) · Nature · doi:10.1038/nature04235 · Cited by 13,435
Chiral tunnelling and the Klein paradox in graphene
Katsnelson, M. I., Novoselov, K. S., & Geim, A. K. (2006) · Nature Physics · doi:10.1038/nphys384 · Cited by 3,896
Classification of topological insulators and superconductors in three spatial dimensions
Schnyder, A. P., Ryu, S., Furusaki, A., & Ludwig, A. W. W. (2008) · Physical Review B · doi:10.1103/physrevb.78.195125 · Cited by 3,322
Classification of topological quantum matter with symmetries
Chiu, C.-K., Teo, J. C. Y., Schnyder, A. P., & Ryu, S. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.035005 · Cited by 2,736
Metadata
- Authors
- Ando, T., Nakanishi, T., & Saito, R.
- Venue
- Journal of the Physical Society of Japan
- Publisher
- Physical Society of Japan
- Published
- 1998-08-15
- Volume
- 67
- Issue
- 8
- Pages
- 2857-2862
- ISSN
- 0031-9015 (ISSN-L)
- 1347-4073
- OpenAlex
- W1977015921
- Cited by
- 764
- References
- 1
- FWCI
- 7.57
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ando, T., Nakanishi, T., & Saito, R. (1998). Berry's Phase and Absence of Back Scattering in Carbon Nanotubes. Journal of the Physical Society of Japan. https://doi.org/10.1143/jpsj.67.2857
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