Electronic structure of three-dimensional triangular torus-shaped quantum rings under external magnetic fields

Yi-Ming Li*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper, we calculate the electron-hole energy states and the magnetization for InAs/GaAs triangular torus-shaped (TTS) quantum rings in a magnetic field. Our three-dimensional (3D) model considers (i) the effective one-band Hamiltonian approximation, (ii) the position- and energy-dependent quasi-particle effective mass approximation, (iii) the finite hard wall confinement potential, and (iv) the Ben Daniel-Duke boundary conditions. This model is solved numerically with the nonlinear iterative method to obtain the "self-consistent" solutions. We investigate the electron-hole energy spectra versus magnetic field for two different ring widths: R0 = 20 and 50 nm, and find that they strongly depend on the ring shape and size. Since the magnetic field penetrates into the inside region of the nonsimply connected ring, the electron (hole) transition energy between the lowest states versus magnetic field oscillates nonperiodically and is different from that of quantum dots. We find the magnetization at zero temperature is a negative function, saturates, and oscillates nonperiodically when the magnetic field increases.

Original languageEnglish
Pages (from-to)1141-1144
Number of pages4
JournalPhysica Status Solidi C: Conferences
Issue number4
DOIs
StatePublished - 2003
Event2nd International Conference on Semiconductor Quantum Dots, QD 2002 - Tokyo, Japan
Duration: 30 Sep 20023 Oct 2002

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