Generally, decreasing the band gap energy of your semiconductor is favorable in order to shift its absorption towards the visible light range (which is actually required to increase the material efficiency under solar light that has ~48% of visible light as a spectral range). But, you should be careful: decreasing too much the band gap increases the probability of electron-hole pairs recombination since the energy levels are close enough. So, 'tailoring the band gap' of your semiconductor is favorable in order to enlarge its application domains but you should be able to know at which point you decrease it aiming to preserve the material efficiency as long as possible.
Following on from the points made by Loraine, it’s definitely a good idea to reduce the band gap according to the type of usage you mentioned. However, excessive reduction in band gap leads to a decrease in voltage. Metals are a good example for this. You must specify the range you need, for example the band gap which is suitable for photovoltaics is around 1-1.5 eV.
There might have several ways to do so though they will bring different surface properties. You may want to give more on the energy storage or energy conversion ?
Energy storage by means of super capacitor or by chemical batteries? What is your device for storing energy please give more information about your application.
The issues brought by the colleagues are for solar absorption.