Property comparison of polarons in zinc-blende and wurtzite GaN/AlN quantum wells

Zhu Jun; Ban Shiliang; Ha Sihua

doi:10.1088/1674-4926/32/11/112002

J. Semicond. > 2011, Volume 32 > Issue 11 > 112002

SEMICONDUCTOR PHYSICS

Property comparison of polarons in zinc-blende and wurtzite GaN/AlN quantum wells

Zhu Jun, Ban Shiliang and Ha Sihua

+ Author Affiliations

DOI: 10.1088/1674-4926/32/11/112002

Abstract: The properties of polarons in zinc-blende and wurtzite GaN/AlN quantum wells with Fröhlich interaction Hamiltonians are compared in detail. The energy shifts of polarons at ground state due to the interface (IF), confined (CO) and half-space phonon modes are calculated by a finite-difference computation combined with a modified LLP variational method. It is found that the two Fröhlich interaction Hamiltonians are consistent with each other when the anisotropic effect from the z-direction and the x-y plane is neglected. The influence of the anisotropy on the polaron energy shifts due to the IF phonon modes for a smaller well width or due to the CO phonon modes for a moderate well width is obvious. In addition, the built-in electric field has a remarkable effect on the polaron energy shifts contributed by the various phonon modes.

Key words: polaron, quantum well, anisotropic effect

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Zhu Jun, Ban Shiliang, Ha Sihua. Property comparison of polarons in zinc-blende and wurtzite GaN/AlN quantum wells[J]. Journal of Semiconductors, 2011, 32(11): 112002. doi: 10.1088/1674-4926/32/11/112002

Zhu J, Ban S L, Ha S H. Property comparison of polarons in zinc-blende and wurtzite GaN/AlN quantum wells[J]. J. Semicond., 2011, 32(11): 112002. doi: 10.1088/1674-4926/32/11/112002.

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Received: 03 December 2014 Revised: 12 July 2011 Online: Published: 01 November 2011

The properties of polarons in zinc-blende and wurtzite GaN/AlN quantum wells with Fröhlich interaction Hamiltonians are compared in detail. The energy shifts of polarons at ground state due to the interface (IF), confined (CO) and half-space phonon modes are calculated by a finite-difference computation combined with a modified LLP variational method. It is found that the two Fröhlich interaction Hamiltonians are consistent with each other when the anisotropic effect from the z-direction and the x-y plane is neglected. The influence of the anisotropy on the polaron energy shifts due to the IF phonon modes for a smaller well width or due to the CO phonon modes for a moderate well width is obvious. In addition, the built-in electric field has a remarkable effect on the polaron energy shifts contributed by the various phonon modes.

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