Programme

P.44 -- Posters, VCTP-51

Date: Tuesday, 4 August 2026

Time: 09:30 - 10:30

The influence of confined phonon and electromagnetic wave on the Hall effect in asymmetric infinite semi-parabolic Quantum Wells

Bui Thi Dung1, Nguyen Dinh Nam1*, Nguyen Minh Hieu1, Nguyen Bao Trung1 Nguyen Quang Bau1

Department of Theoretical Physics, University of Science, Vietnam National University, Hanoi, Address: No 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam

The influence of confined phonons and electromagnetic waves on the Hall effect in asymmetric infinite semi-parabolic Quantum Wells (AISPQW) in the case of confined electron- acoustic phonon scattering is studied theoretically. Analytic expressions for the Hall coefficient are derived from the electron distribution function, which is established via the quantum kinetic equation method. The results show that the Hall coefficient depends not only on the temperature T, the magnetic field B, the electromagnetic wave frequency Ω and the confinement frequency ω_z, but also on the phonon confinement index. Numerical calculation results also show that both confined phonon and unconfined phonon appear Shubnikov-de Haas (SdH) oscillations with the amplitudes that decrease. The Hall coefficient values in the case of unconfined phonons are smaller than in the case of confined phonons at the same temperatures and magnetic fields, approximately 1.5 times. Notably, the Hall coefficient depends on the magnetic field at different temperatures; the higher the temperature, the smaller the coefficient. In addition, the structural parameters of the quantum well, such as the confinement frequency and the frequency of the electromagnetic wave, have a significant influence on the Hall coefficient as well as the SdH oscillations. When the confinement frequency is small, the SdH oscillation gradually becomes absent. Examining the dependence of the Hall coefficient on the electromagnetic wave frequency at different temperatures or confinement frequencies (ω_z), the SdH oscillation also becomes smaller as temperature increases and frequency ω_z increases. These results establish a theoretical framework for controlling Shubnikov–de Haas (SdH) oscillations via the Hall coefficient and material structural properties in future experimental studies

Presenter: Nguyen Dinh Nam