Binding energies of shallow impurities in asymmetric strained wurtzite AlxGa1-xN/GaN/AlyGa1-yN quantum wells

Ha Sihua; Ban Shiliang; Zhu Jun

doi:10.1088/1674-4926/32/4/042001

J. Semicond. > 2011, Volume 32 > Issue 4 > 042001

SEMICONDUCTOR PHYSICS

Binding energies of shallow impurities in asymmetric strained wurtzite Al_xGa_1-xN/GaN/Al_yGa_1-yN quantum wells

Ha Sihua, Ban Shiliang and Zhu Jun

+ Author Affiliations

DOI: 10.1088/1674-4926/32/4/042001

Abstract: The ground state binding energies of hydrogenic impurities in strained wurtzite Al_xGa_1-xN/GaN/Al_yGa_1-yN quantum wells are calculated numerically by a variational method. The dependence of the binding energy on well width, impurity location and Al concentrations of the left and right barriers is discussed, including the effect of the built-in electric field induced by spontaneous and piezoelectric polarizations. The results show that the change in binding energy with well width is more sensitive to the impurity position and barrier heights than the barrier widths, especially in asymmetric well structures where the barrier widths and/or barrier heights differ. The binding energy as a function of the impurity position in symmetric and asymmetric structures behaves like a map of the spatial distribution of the ground state wave function of the electron. It is also found that the influence on the binding energy from the Al concentration of the left barrier is more obvious than that of the right barrier.

Key words: quantum well, impurity, strain, polarization

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Received: 18 August 2015 Revised: 18 October 2010 Online: Published: 01 April 2011

The ground state binding energies of hydrogenic impurities in strained wurtzite Al_xGa_1-xN/GaN/Al_yGa_1-yN quantum wells are calculated numerically by a variational method. The dependence of the binding energy on well width, impurity location and Al concentrations of the left and right barriers is discussed, including the effect of the built-in electric field induced by spontaneous and piezoelectric polarizations. The results show that the change in binding energy with well width is more sensitive to the impurity position and barrier heights than the barrier widths, especially in asymmetric well structures where the barrier widths and/or barrier heights differ. The binding energy as a function of the impurity position in symmetric and asymmetric structures behaves like a map of the spatial distribution of the ground state wave function of the electron. It is also found that the influence on the binding energy from the Al concentration of the left barrier is more obvious than that of the right barrier.

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Binding energies of shallow impurities in asymmetric strained wurtzite Al_xGa_1-xN/GaN/Al_yGa_1-yN quantum wells

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Binding energies of shallow impurities in asymmetric strained wurtzite Al_xGa_1-xN/GaN/Al_yGa_1-yN quantum wells

Binding energies of shallow impurities in asymmetric strained wurtzite Al_xGa_1-xN/GaN/Al_yGa_1-yN quantum wells