Le Thai Hung, Nguyen Quang Bau, Pham Ngoc Thang

Main Article Content

Abstract

Abstract. The Transverse Hall effect (THE) has been theoretical studied in a quantum well (QW) with high infinite potential subjected to a crossed dc electric field and a magnetic field (MF) which is oriented perpendicularly to the confinement direction in the present of an intense electromagnetic wave (EMW). The analytical expression of the transverse hall coefficient (THC) which depends not only on the parameters of the system but especially on the quantum number m characterizing confined phonons, is obtained by using the quantum kinetic equation method for confined electrons - confined optical phonons interaction. The analytic expression of THC is numerically evaluated, plotted and discussed for a specific case of the AlAs/GaAs/AlAs QW. Results show the THC depends strong nonlinearly on the EMW amplitude and the MF. All results are compared with that in case of unconfined phonons to see differences.


 

Keywords: Key words: Transverse Hall effect, Confined phonons, Quantum Well.

References

[1]. Friedman. L, Electron-phonon scattering in superlattices, Phys. Rev. B 32, (1985), 955.
[2]. Wang, X.F. and X.L. Lei, Polar-optic phonons and high-field electron transport in cylindrical GaAs/AlAs quantum wires, Phys. Rev. B 49, (1994) 4780.
[3]. Bau, N. Q., L. T. Hung, and N. D. Nam, The Nonlinear Absorption Coefficient of a Strong Electromagnetic Wave by Confined Electrons in Quantum Wells Under the Influences of Confined Phonons, J. of Electromagn. Waves and Appl. 24, (2010) 1751.
[4]. Phong, T.C, L.V. Tung and N.Q. Bau, Parametric Resonance of Acoustic and Optical Phonons
[5]. in a Doped Semiconductor Superlattice, J. Korean Phys. Soc. 53, No. 4, (2008) 1971.
[6]. Bau, N.Q and Hieu, N.V, The quantum acoustoelectric current in a doped superlattice GaAs:Si/GaAs:Be, Superlattices and Microstructure 63, (2013) 121.
[7]. Chao-Xing Liu and et all, Quantum anomalous Hall effect in magnetic topological insulators, Annual Review of Condensed Matter Physics, Vol. 7, (2016) 301.
[8]. Likai Li, and etc, Quantum Hall effect in black phosphorus two-dimensional electron system, Nature Nanotechnology 11, (2016) 593.
[9]. Y. Matsubara, and et all, Observation of the quantum Hall effect in δ-doped SrTiO3, Nature Communications 7, (2015) 11631.
[10]. A. van den Brink and et all, Field-free magnetization reversal by spin-Hall effect and exchange bias, Nature Communications 7, (2016) 10854.
[11]. Bau N. Q. and Hoi B. D., Dependence of the Hall Coefficient on Doping Concentration in Doped Semiconductor Superlattices with a Perpendicular Magnetic Field under the Influence of a Laser Radiation, Integrated Ferroelectrics, Vol.155, (2014) 39. 

[12]. Hwang E. H. and S. Das Sarma, Hall coefficient and magnetoresistance of two-dimensional spin-polarized electron systems, Phys. Rev. B, Vol. 73, 121309, (2006) 1.
[13]. Shmelev G. M., G. I. Tsurkan, and N. H. Shon, The magnetoresistance and the cyclotron resonance in semiconductors in the presence of strong electromagnetic wave, Sov. Phys. Semi- cond., Vol. 15, (1981) 156. 

[14]. Vasilopoulos P., M. Charbonneau, C. M. Van Vliet, Erratum: Linear and nonlinear electrical conduction in quasi-two-dimensional quantum wells, Phys. Rev. B, Vol. 35, (1987) 1334. 

[15]. Bhat, J. S., B. G. Mulimani, S. S. Kubakaddi, Electron-confined LO phonon scattering rates in GaAs/AlAs quantum wells in the presence of a quantizing magnetic field, Semicond. Sci. Technol, Vol.8, (1993) 1571.
[16]. Rudin, S., T. Reinecke, Electron–LO-phonon scattering rates in semiconductor quantum wells, Phys. Rev. B, Vol. 41, (1990) 7713.
[17]. Charbonneau M., K. M. van Vliet, and P. Vasilopoulos, Linear response theory revisited III: One‐body response formulas and generalized Boltzmann equations, J. Math. Phys., Vol. 23, (1982) 318.