Impact of symmetrized and Burt-Foreman Hamiltonians on spurious solutions and energy levels of InAs/GaAs quantum dots

We present a systematic investigation of calculating quantum dots (QDs) energy levels using finite element method in the frame of eight-band k . p method. Numerical results including piezoelectricity, electron and hole levels, as yell as wave functions are achieved. In the calculation of energy levels, we do observe spurious solutions (SSs) no matter Burt-Foreman or symmetrized Hamiltonians are used. Different theories are used to analyse the SSs, we find that the ellipticity theory can give a better explanation for the origin of SSs and symmetrized Hamiltonian is easier to lead to SSs. The energy levels simulated with the two Hamiltonians are compared to each other after eliminating SSs, different Hamiltonians cause a larger difference on electron energy levels than that on hole energy levels and this difference decreases with the increase of QD size.

Submitted by 阎军 (yanj@red.semi.ac.cn) on 2010-09-07T12:19:32Z No. of bitstreams: 1 Impact of symmetrized and Burt-Foreman Hamiltonians on spurious solutions and energy levels of InAsGaAs quantum dots.pdf: 338964 bytes, checksum: d93734ed7914009eb5ad50b0204739ba (MD5)

Approved for entry into archive by 阎军(yanj@red.semi.ac.cn) on 2010-09-07T13:09:05Z (GMT) No. of bitstreams: 1 Impact of symmetrized and Burt-Foreman Hamiltonians on spurious solutions and energy levels of InAsGaAs quantum dots.pdf: 338964 bytes, checksum: d93734ed7914009eb5ad50b0204739ba (MD5)

Made available in DSpace on 2010-09-07T13:09:05Z (GMT). No. of bitstreams: 1 Impact of symmetrized and Burt-Foreman Hamiltonians on spurious solutions and energy levels of InAsGaAs quantum dots.pdf: 338964 bytes, checksum: d93734ed7914009eb5ad50b0204739ba (MD5) Previous issue date: 2010

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