**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32586

##### The Light-Effect in Cylindrical Quantum Wire with an Infinite Potential for the Case of Electrons: Optical Phonon Scattering

**Authors:**
Hoang Van Ngoc,
Nguyen Vu Nhan,
Nguyen Quang Bau

**Abstract:**

The light-effect in cylindrical quantum wire with an infinite potential for the case of electrons, optical phonon scattering, is studied based on the quantum kinetic equation. The density of the direct current in a cylindrical quantum wire by a linearly polarized electromagnetic wave, a DC electric field, and an intense laser field is calculated. Analytic expressions for the density of the direct current are studied as a function of the frequency of the laser radiation field, the frequency of the linearly polarized electromagnetic wave, the temperature of system, and the size of quantum wire. The density of the direct current in cylindrical quantum wire with an infinite potential for the case of electrons – optical phonon scattering is nonlinearly dependent on the frequency of the linearly polarized electromagnetic wave. The analytic expressions are numerically evaluated and plotted for a specific quantum wire, GaAs/GaAsAl.

**Keywords:**
The light-effect,
cylindrical quantum wire with an infinite potential,
the density of the direct current,
electrons - optical phonon scattering.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1340356

**References:**

[1] H. Sigg, S. Graf, M. H. Kwakernaak, B. Margotte, D. Erni, P. Van Son, K. Kohler, Supperlattices Microstruct. Vol 19, pp. 105, 1996.

[2] M. F. Kimmitt, C. R. Pidgeon, D. A. Jaroszynski, R. J. Bakker, A. F. G. Van Der Meer, and D. Oepts, “infrared free electron laser measurement of the photon darg effect in P-Silicon”, Int. J. Infrared Millimeter Waves, vol 13, No 8, pp. 1065, 1992.

[3] A. Grinberg and Luryi, “Theory of the photon - drag effect in a two-dimensional electron gas”, Phys. Rev. B 38, pp. 87, 1988.

[4] S. D. Ganichev, H. Ketterl, and W. Prettl, ”spin-dependent terahertz nonlinearities at inter-valance-band absorption in p-Ge”, Physica B 272, pp. 464-466, 1999.

[5] N. Q. Bau, D. M. Hung and L. T. Hung, “The influences of confined phonons on the nonlinear absorption coefficient of a strong electromagnetic wave by confined electrons in doping superlattices”, PIER Letters, Vol. 15, pp. 175-185, 2010.

[6] V. L. Malevich Izv, “High-frequency conductivity of semiconductors in a laser radiation field”, Radiophysics and quantum electronics, Vol. 20, Issue 1, pp. 98-101, 1977.

[7] N. Q. Bau and D. M. Hung, “Calculating of the nonlinear absorption coefficient of a strong electromagnetic wave by confined electrons in doping superlattices”, PIER B 25, pp. 39-52, 2010.

[8] N. Q. Bau and B. D. Hoi, “Influence of a strong electromagnetic wave (Laser radiation) on the Hall effect in quantum well with a parabolic potential”, J. Korean Phys. Soc, Vol. 60, pp. 59-64, 2012.

[9] G. M. Shmelev, G. I. Tsurkan and É. M. Épshtein, “Photostumilated radioelectrical transverse effect in semiconductors”, Phys. Stat. Sol. B, Vol. 109, pp. 53, 1982.

[10] S. V. Kryuchkov, E. I. Kukhar’ and E. S. Sivashova, “Radioelectric effect in a superlattice under the action of an elliptically polarized electromagnetic wave”, Physics of the Solid State, Vol. 50, No. 6, pp. 1150-1156, 2008.

[11] H. V. Ngoc, N. T. Huong, N. Q. Bau, “The photon-drag effect in cylindrical quantum wire with a parabolic potential”, int. J. Vol. 54, No. 12, pp. 542-545, 2016.

[12] N. V. Nhan, N. V. Nghia, N. V. Hieu, “The dependence of a quantum acoustoelectric current on some qualities in a cylindrical quantum wire with an infinite potential GaAs?GaAsAl”, Materials Transactions, Vol. 56, No. 9, pp. 1408-1411, 2015.