Programme

P.53 -- Poster, VCTP-46

Date: Wednesday, 6 October 2021

Time: 08:30 - 10:00

Bound states of (2 + 1)−dimensional massive Dirac fermions in a Lorentzian-shaped inhomogeneous perpendicular magnetic field

Dai-Nam Le (1,2), Phong-Su Luu (3), Thanh-Sang Ha (3), Ngoc-Hung Phan (3), Van-Hoang Le (3)

(1) Atomic Molecular and Optical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Viet Nam; (2) Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Viet Nam; (3) Department of Physics, Ho Chi Minh City University of Education, 280 An Duong Vuong Street, District 5, Ho Chi Minh City, Viet Nam

In this study, we investigate massive Dirac fermions in (2 + 1)−spacetime confined by a Lorentzian-shaped inhomogeneous magnetic field and construct solutions of their bound states by both analytical and numerical methods. First, we have found a set of specific magnetic fields which allow obtaining conditionally exact solutions as well as quasi-exact ones. Second, we construct these analytical solutions explicitly and analyse the effect of Dirac fermion’s effective mass. We also calculate entire energy spectra for the considered system numerically using Feranchuk–Komarov operator method and combine them with the analytical solutions for investigating Landau quantization in the energy spectrum. References: [1] Dai-Nam Le, Phong-Su Luu, Thanh-Sang Ha, Ngoc-Hung Phan, and Van-Hoang Le 2020 Physica E 116, 113777; [2] Dai-Nam Le, Van-Hoang Le, and Pinaki Roy 2018 Physica E 96, 17; [3] Dai-Nam Le, Van-Hoang Le, and Pinaki Roy 2018 Physica E 102, 66.

Presenter: Le Dai-Nam