Dispersion of Electrostatic Waves in Single Walled carbon nanotubes by Quantum Hydrodynamic approach

Using the linearized quantum hydrodynamic model (QHD), the dispersion relation of electrostatic wavespropagating through Single walled carbon nanotubes (SWCN) subject to an axial magnetic field is theoretically explored.In this paper, by drawing the dispersion relations, we have noticed how magnetic field can effect on excitation of quantumacoustical and optical waves in a CNT with which is filled with electron. We have found that in weak magnetic fields thequantum acoustical waves can’t propagate however for strong magnetic field it is possible. Also, for all magnetic fieldsto excite quantum optical waves, one may use wavelength between microwave and visible spectrum. Besides, at the endwe have drown the dispersion relations of acoustical and optical modes as a function of the logarithm of the magneticfield to the base 10, by two models, and found that the interesting difference between two modes.

Keywords:

Electrostatic waves , Quantum Hydrodynamics model , Carbon Nanotube , Axial magnetic