Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31097
Influence of an External Magnetic Field on the Acoustomagnetoelectric Field in a Rectangular Quantum Wire with an Infinite Potential by Using a Quantum Kinetic Equation

Authors: N. Q. Bau, N. V. Nghia


The acoustomagnetoelectric (AME) field in a rectangular quantum wire with an infinite potential (RQWIP) is calculated in the presence of an external magnetic field (EMF) by using the quantum kinetic equation for the distribution function of electrons system interacting with external phonons and electrons scattering with internal acoustic phonon in a RQWIP. We obtained ananalytic expression for the AME field in the RQWIP in the presence of the EMF. The dependence of AME field on the frequency of external acoustic wave, the temperature T of system, the cyclotron frequency of the EMF and the intensity of the EMF is obtained. Theoretical results for the AME field are numerically evaluated, plotted and discussed for a specific RQWIP GaAs/GaAsAl. This result has shown that the dependence of the AME field on intensity of the EMF is nonlinearly and it is many distinct maxima in the quantized magnetic region. We also compared received fields with those for normal bulk semiconductors, quantum well and quantum wire to show the difference. The influence of an EMF on AME field in a RQWIP is newly developed.

Keywords: rectangular quantum wire, acoustomagnetoelectric field, electron-phonon interaction, kinetic equation method

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1058


[1] M. Y. Galperin and V. D. Kagan, “On the acoustoelectric effect in a strong magnetic field,"”, Fiz. Tverd.Tela (Sov. Phys. Solid. State).,10, 1968, pp. 2038-2045.
[2] T. Yamada, “Acoustomagnetoelectric Effect in Bismuth”, J. Phys. Soc. Japan., 20, 1965, pp. 1424-1437.
[3] G. M. Shmelev, G. I. Tsurkan and N. Q. Anh, “Photostimulated planar acoustomagnetoelectric effect in semiconductors”, Phys. Stat. Sol., 121, No. 1, 1984, pp. 97-102.
[4] E. M. Epshtein, “Photostimulated Acoustomagnetoelectric effect in semiconductor”, JETP Lett., 19, 1974, pp. 332.
[5] W. Salaneck, Y. Sawada and E. Burstein, “The magneto-quantum-electric effect”, J. Phys. Chem. Solids., 32, No. 10, 1971, pp. 2285-2300.
[6] M. Kogami and S. Tanaka, “Acoustomagnetoelectric and acoustoelectric effects in n-InSb at low temperatures”, J. Phys. Soc. Japan., 30, 1971, pp. 775-784.
[7] A. D. Margulisand V. A. Margulis, “The quantum acoustomagnetoelectric effect due to Rayleigh sound waves", J. Phys., 6, No. 31, 1994, pp. 6139-6150.
[8] S. Y. Mensah, F. K. A. Alloteyand S. K. Adjepong, “Acoustomagnetoelectric effect in a superlattice”, J. Phys. Condens.Matter.,8, No. 9,1996, pp. 1235-1239.
[9] Y. Zhang, K. Suenaga, C. Colliex, S. Iijima, “Coaxial Nanocable: Silicon Carbide and Silicon Oxide Sheathed with Boron Nitride and Carbon”, Science.,281, 1998, pp. 973-975.
[10] S. S. Rink, D. S. Chemla and D. A. B. Miller, “Linear and nonlinear optical properties of semiconductor quantum wells”, Adv. Phys., 38, 1989, pp. 89-188.
[11] N. V. Nhan, N. V. Nghia and 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, 56, No.09, 2015, pp.1408-1411.
[12] N. Q. Bau, N. V. Hieu, N. V. Nhan, “The quantum acoustomagnetoelectric field in a quantum well with a parabolic potential”, Superlatt. Microstruct., 52, 2012, pp. 921-930.
[13] N. V. Nghia, N. Q. Bau, N. V. Nhan and D. Q. Vuong, “Calculation of the acoustomagnetoelectric field in a rectangular quantum wire with an infinite potential in the presence of an external magnetic field”, PIERS Proceedings, Malaysia, March 27-30, 2012, pp. 772-777.
[14] R. Mickevicius and V. Mitin, “Acoustic-phonon scattering in a rectangular quantum wire”, Phys. Rev. B, 48, 1993, pp. 17194-171201.
[15] K. W. Kim, M. A. Stroscio, A. Bhatt, R. Mickevicius, V. V. Mitin, “Electron-optical-phonon scattering rates in a rectangular semiconductor quantum wire”, J. Appl. Phys., 70, 1991, pp. 319-327.