Open Access Open Access  Restricted Access Subscription or Fee Access

Study of Phase Velocity and Magneto Plasmon Dispersion on the Surface of Carbon Nanotubes in Low Energy State



Several authors have worked on theoretical and experimental plasmon excitations. The researchers have been studying the dispersion relation of magneto plasmon in the low energy state on a cylindrical surface of carbon nanotube obtained with the help of linear-angular momentum transfer. Here, we demonstrate the Dirac-like Hamiltonian equation for carbon nanotubes in the presence and absence of a parallel applied magnetic field. We assume the cylindrical carbon nanotube is infinitesimally narrow, if we reduce the bandwidth the radius of the cylindrical tube is increased in presence of a magnetic field. In this study, we find the relation between energy eigenfunction and electron wave function and discuss the properties of carbon nanotube concerning the Fermi-energy level which is induced by the applied magnetic field is obtained numerically by integrating first and second-order differential equations. We chose the Fermi energy level above the gap at EF = 1.5 eV and below the gap at EF = −5 eV. We see that Magneto Plasmon excitations at both levels of low and high-frequency modes. This study provides information about the electron state in carbon nanostructures and their electronic properties.



Magneto Plasmon, Dirac-Hamiltonian, Carbon Nanotubes, Eigen function, Fermi energy level

Full Text:



Zhou C, Kong J, Dai H. Intrinsic electrical properties of individual single-walled carbon nanotubes with small band gaps. Physical Review Letters. 2000 Jun 12;84(24):5604.

Iijima S (7 November 1991). “Helical microtubules of graphite carbon”. Nature. 354(6348); 56-58.

A.K. Geim, S.V. Morozov, K.S. Novoselov, et al. Two-dimensional gas of massless Dirac fermions in graphene, Nature, 438 (2005), pp. 197-200

P.W., Atkins, (1974). Quanta A Handbook of Concepts. Oxford University Press.

Bertsch GF, Broglia RA. Oscillations in finite quantum systems. Cambridge University Press; 1994 Apr 21.

Liu P, Li J, Han J, Wan X, Liu Q. Spin-group symmetry in magnetic materials with negligible spin-orbit coupling. Physical Review X. 2022 Apr 21;12(2):021016.

Bertsch GF, Bulgac A, Tomanek D, Wang Y. Collective plasmon excitations in C 60 clusters. Physical review letters. 1991 Nov 4;67(19):2690.

Iwaki T, Shew CY, Gumbs G. The effect of salt concentration on the optical modes of charged cylindrical nanotubes. Journal of applied physics. 2005 Jun 15;97(12):124307.

Suenaga K, Sandré E, Colliex C, Pickard CJ, Kataura H, Iijima S. Electron energy-loss spectroscopy of electron states in isolated carbon nanostructures. Physical Review B. 2001 Apr 3;63(16):165408.

McEuen PL, Fuhrer MS, Park H. Single-walled carbon nanotube electronics. IEEE transactions on nanotechnology. 2002 Mar;1(1):78-85.

Lin-Chung PJ, Rajagopal AK. Magnetoplasma oscillations in nanoscale tubules with helical symmetry. Physical Review B. 1994 Mar 15;49(12):8454.

Stern F. Polarizability of a two-dimensional electron gas. Physical Review Letters. 1967 Apr 3;18(14):546.



  • There are currently no refbacks.