We present an extensive study leading to a general understanding about the optical transitions involved in the surface photovoltage (SPV) spectra of type-I quantum well (QW) structures. SPV measurements were carried out on ${\mathrm{In}}_{0.3}{\mathrm{Ga}}_{0.7}\mathrm{As}∕\mathrm{GaAs}$ QW samples with varying QW width and on ${\mathrm{In}}_{0.15}{\mathrm{GaAs}}_{0.85}∕{\mathrm{Al}}_{x}{\mathrm{Ga}}_{1\ensuremath{-}x}\mathrm{As}$ QW samples with varying aluminum content. The results are compared with experimental electroreflectance spectra, absorption spectra simulated with multiband $\mathbf{k}∙\mathbf{p}$ computations, and theoretical calculations of the electronic states in the QWs. Thus, the transitions which induce steps in the SPV spectra are unambiguously identified. Most remarkably, the bound electron-to-free hole transition is detected by SPV measurements. This distinguishes the SPV method from many other optical techniques like photoluminescence and photoreflectance spectroscopy that allow only the observation of bound-to-bound and free-to-free transitions. The analogous free electron-to-bound hole transition does not give rise to a feature in the SPV spectra. In addition, the bound-to-bound transitions ${e}_{1}\text{\ensuremath{-}}h{h}_{1}$, ${e}_{1}\text{\ensuremath{-}}l{h}_{1}$, and ${e}_{2}\text{\ensuremath{-}}h{h}_{2}$ are observed, if the respective states are confined. Also, the free-to-free transition $ce\text{\ensuremath{-}}ch$ is measured. We demonstrate how these transitions can typically be identified in the spectra without any further measurements or calculations. With this knowledge, the practical band offsets of the QW structure, i.e., the energy difference between the lowest confined states in the QW and the extended states in the barrier, can be extracted directly from the spectra. An advantage over conventional techniques for the determination of band offsets is that neither any additional knowledge of other QW parameters nor simulations are necessary. As an example for the application of the SPV technique, the electronic states and band offsets of a series of ${\mathrm{In}}_{0.3}{\mathrm{Ga}}_{0.7}{\mathrm{As}}_{0.98}{\mathrm{N}}_{0.02}∕\mathrm{GaAs}$ QWs with varying QW width are characterized. These experiments directly show that nitrogen affects only the conduction band states.
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