Abstract—Using the quantum kinetic equation for electrons interacting with acoustic phonon, the density of the constant current associated with the drag of charge carriers in cylindrical quantum wire by a linearly polarized electromagnetic wave, a DC electric field and a laser radiation field is calculated. The density of the constant current is studied as a function of the frequency of electromagnetic wave, as well as the frequency of laser field and the basic elements of quantum wire with a parabolic potential. The analytic expression of the constant current density is numerically evaluated and plotted for a specific quantum wires GaAs/AlGaAs to show the dependence of the constant current density on above parameters. All these results of quantum wire compared with bulk semiconductors and superlattices to show the difference. Keywords—Photon-drag effect, constant current density, quantum wire, parabolic potential. I. INTRODUCTION HE photon-drag effect is explained by propagation electromagnetic wave carriers which absorb both energy and electromagnetic wave momentum, thereby electrons are generated with directed motion and a constant current is created in this direction. The presence of intense laser radiation can also influence electrical conductivity and kinetic effects in material [1]-[3]. The photon-drag effect has been researched in semiconductors [4]-[6], in superlattices [7]. In quantum wire, the photon drag effect is still open for study. In this paper, using the quantum kinetic equation for an electron system interacting with acoustic phonon is placed in a direct electric field, an electromagnetic wave and the presence of an intense laser field in quantum wire with a parabolic potential, the constant current density of the photon-drag effect is calculated and numerical calculations are carried out with a specific GaAs/GaAsAl quantum wire. II. CALCULATING THE CONSTANT CURRENT DESTINY OF THE PHOTON-DRAG EFFECT IN CYLINDRICAL QUANTUM WIRE WITH PARABOLIC POTENTIAL We examine the electron system, which is placed in a linearly polarized electromagnetic wave ( i t i t E(t) E(e e ),H(t) n,E(t) ), in a DC electric field 0 E and in a strong radiation field F(t) Fsin t. The Hamiltonian Hoang Van Ngoc and Nguyen Quang Bau are with the Faculty of Physics, Hanoi University of Sciences, Hanoi National University, No. 334, Nguyen Trai Str., Thanh Xuan Dist., Hanoi, Vietnam (e-mail: hoangfvanwngocj@gmail.com, nguyenquangbau54@gmail.com). N. T. Huong is with the Faculty of Physics, Ha Noi University of Sciences, Hanoi National University, 334 - Nguyen Trai, Thanh Xuan, Hanoi, Viet Nam, (phone: +84-989-146-314; e-mail: huong146314@ yahoo.com). of the electron - phonon system in the quantum wire can be written as [8], [9] (using with 1 unit and we suppose the axis 0z along the length of the wire): H = H0 + U = z z z z n,l,p z n,l,p n,l,p q q q n,l,p q e (p A(t)).a .a bb c + + s z z q n,l,n ,l n ,l ,p q n,l,p q q n,l,n ,l p ,q C .I (q)a .a (b b ) (1) where At is the vector potential of laser field (only the laser field affects the probability of scattering): 0 1 A(t) F sin t c ; z n,l,p a and z n,l,p a ( q b and q b ) are the creation and annihilation operators of electron (phonon); z p is the electron wave momentum along axis 0z; q is phonon wave vector; q is the frequency of acoustic phonon; q C is the electron-acoustic phonon interaction constant: 2 2 q s q C 2vV , here V, , s v and are volume, the density, the acoustic velocity and the deformation potential constant, respectively; (n, l) and (n’, l’) are the quantum numbers of electron. The electron energy takes the simple: z 2 z n,l,p 0 p (2n l 1) 2m ( n 0, 1, 2,... , l 1, 2,3,... ); R * n,l,n',l' n,l n',l' n n' 2 0 2 I (q) J (qR) (r) (r)dr R is form factor where n,l n n,l n 1 n,l 1 r (r) J (A ) J (A ) R is radial wave function, R is radius of wire, n,l A is solution of the Bessel function of real argument n n,l J (A ) 0 . This case particle system is set in a parabolic potential with quantum numbers n, l and form factor is not 1, this is the differences with the bulk semiconductor. In order to establish the quantum kinetic equations for electrons in quantum wire, we use general quantum equations for the particle number operator or electron distribution function: z z z n,l,p n,l,p n,l,p t f (t) i a a ,H t (2) The Photon-Drag Effect in Cylindrical Quantum Wire with a Parabolic Potential Hoang Van Ngoc, Nguyen Thu Huong, Nguyen Quang Bau T World Academy of Science, Engineering and Technology International Journal of Nuclear and Quantum Engineering Vol:10, No:12, 2016 605 International Scholarly and Scientific Research & Innovation 10(12) 2016 scholar.waset.org/1307-6892/10005803 International Science Index, Nuclear and Quantum Engineering Vol:10, No:12, 2016 waset.org/Publication/10005803