<link rel="stylesheet" href="styles.cf390c6bfbe7555f.css">

學術出版;;Publications

Permanent URI for this communityhdl:11536/1

收集所有交通大學研究人員與學生個人或團體所發表之各項學術著作，涵蓋期刊論文、教師專書、學位論文等項。;;Collections of Publications of NCTU Researchers and Students Like Journal Papers and Thesis.

Browse

Filters

2003 - 20054

Settings

🏛️國立陽明交通大學機構典藏

Author: search.filters.author.Li, YMSubject: search.filters.subject.magnetic field effects

Search Results

Now showing 1 - 4 of 4
  • Thumbnail Image
    Item type:Item,
    An investigation of magnetic field effects on energy states for nanoscale InAs/GaAs quantum rings and dots
    (2003-03-01)
    Li, YM
    ;
    Lu, HM
    ;
    友訊交大聯合研發中心
    ;
    D Link NCTU Joint Res Ctr
    In this paper, we investigate the electron-hole energy states and energy gap in three-dimensional (313) InAs/GaAs quantum rings and dots with different shapes under external magnetic fields. Our realistic model formulation includes: (i) the effective mass Hamiltonian in non-parabolic approximation for electrons, (ii) the effective mass Hamiltonian in parabolic approximation for holes, (iii) the position- and energy-dependent quasi-particle effective mass approximation for electrons, (iv) the finite hard wall confinement potential, and (v) the Ben Daniel-Duke boundary conditions. To solve the 3D non-linear problem without any fitting parameters, we have applied the nonlinear iterative method to obtain self-consistent solutions. Due to the penetration of applied magnetic fields into torus ring region, for ellipsoidal- and rectangular-shaped quantum rings we find nonperiodical oscillations of the energy gap between the lowest electron and hole states as a function of external magnetic fields. The nonperiodical oscillation is different from 1D periodical argument and strongly dependent on structure shape and size. The result is useful to study magneto-optical properties of the nanoscale quantum rings and dots.
  • Thumbnail Image
    Item type:Item,
    Electron transition energy for vertically coupled InAs/GaAs semiconductor quantum dots and rings
    (2004-04-01)
    Li, YM
    ;
    Lu, HM
    ;
    友訊交大聯合研發中心
    ;
    D Link NCTU Joint Res Ctr
    We investigate the transition energy of vertically coupled quantum dots and rings (VCQDs and VCQRs) with a three-dimensional (3D) model under an applied magnetic field. The model formulation includes (1) the position-dependent effective mass Hamiltonian in the nonparabolic approximation for electrons, (2) the position-dependent effective mass Hamiltonian in the parabolic approximation for holes, (3) the finite hard-wall confinement potential, and (4) the Ben Daniel-Duke boundary conditions. We explore small VCQDs and VCQRs with disk (DI) and conical (CO) shapes. For small VCQDs and VCQRs, the electron-hole transition energy is dominated by the interdistance d which plays a crucial role in the tunable states of structures. Under zero magnetic field, there is about 25% variation in the electron ground state energy for both InAs/GaAs DI-shaped VCQDs and VCQRs with d varying from 0.4 nm to 4.8 nm. The energy spectra of the CO-shaped VCQDs are the most stable against the structure interdistance deviations (among dots and rings of the same volume). For a fixed d, VCQDs show diamagnetic shift; contrarily, VCQRs imply a nonperiodical transition among the lowest electron energy states. The energy band gap of VCQRs oscillates nonperiodically between the lowest electron and holes states as a function of external magnetic fields. Our investigation is constructive for studying the magneto-optical phenomena of the nanoscale semiconductor artificial molecules.
  • Thumbnail Image
    Item type:Item,
    Three-dimensional calculation of electronic structures in semiconductor quantum ring based artificial molecules
    (2004)
    Li, YM
    ;
    奈米中心
    ;
    Nano Facility Center
    We theoretically investigate the energy spectra of vertically coupled quantum rings (VCQRs) with a three-dimensional (3D) model under applied magnetic fields. Two interesting configurations, the disk- and the conical-shaped (DI and CO) small VCQRs are explored. The electron and hole energies are significantly dominated by the inter-distance d which plays a crucial role in the tunable states of structures. For electrons, the energy state is with a nonperiodical transition among the lowest electron. For holes, it does also demonstrate the same behavior. The energy band gap of VCQRs oscillates nonperiodically between the lowest electron and holes states as a function of external magnetic fields. In addition, the oscillation is controlled by not only the topology of VCQR and the inner (and base) radius but also the variation of d. This investigation is constructive in studying the magneto-optical phenomena of the nanoscale semiconductor artificial molecules, in particular for the laser device applications.
  • Thumbnail Image
    Item type:Item,
    Transition energies of vertically coupled multilayer nanoscale InAs/GaAs semiconductor quantum dots of different shapes
    (2005-04-01)
    Li, YM
    ;
    奈米中心
    ;
    Nano Facility Center
    The energy spectra of vertically coupled multilayer nanoscale semiconductor quantum dots (QDs) are theoretically studied using a unified three-dimensional (3D) model. The model formulation includes (1) the position-dependent effective mass Hamiltonian in a nonparabolic approximation for electrons, (2) the position-dependent effective mass Hamiltonian in a parabolic approximation for holes, (3) the finite hard wall confinement potential, and (4) Ben Daniel-Duke boundary conditions. To solve a nonlinear problem, a nonlinear iterative method is further improved in our developed 3D QD simulator. At an applied magnetic field (B), we explore the transition energy and the energy band gap of disk (DI), ellipsoid (EL)- and cone (CO)-shaped vertically coupled multilayer nanoscale semiconductor quantum dots. We find that the electron transition energy of vertically coupled rnultilayer InAs/GaAs QDs depends on their shape and is strongly dominated by the number of stacked layers (N). The interdistance (d) among InAs QDs plays a crucial role in the tunable states of these QDs. In DI-shaped vertically coupled 10-layer QDs at B = 0T and d = 1.0nm, we find approximately 40% variation in electron ground state energy, which is larger than that (similar to 20% variation) in CO-shaped QDs. In QDs at a nonzero magnetic field, the electron transition energy decreases with increasing N. In QDs with d = 1nm, the rate of decrease is low when N > 6. This results in QDs,with energy band gaps having similar dependences on N. This study implies different applications in magnetooptical phenomena and quantum optical structures.