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Properties of the front contact

The front contact in a solar cell must be able to carry the current of the solar cell and at the same time it must be transparent for most of the incident radiation. In silicon solar cells this is done by a thin, highly doped layer at the surface. The absorption in silicon is low enough to pass most of the light. However, some absorption still occurs, and quite a lot of development aimed at decrasing these losses.

A very successful approach was the introduction of a heterojunction where a semiconductor with higher bandgap is used as front contact. In most thin film solar cells a wide bandgap semiconductor is used as front contact. Usually it is one of so called transparent conducting oxides (TCOs), ZnO, In2O3/SnO2 (ITO), or SnO2:F (FTO).

In order to be transparent for visible light the front contact is required to have a bandgap of more than about 3.3 eV which is the case for the mentioned TCOs. Absorption in the infrared (IR) is an important issue for TCOs because of free carriers absorption just like in metals.

We need reasonable conductivity in the front contact which we can only obtain it by a high doping level. A general requirement for the front contact is a resistivity below 10 Ωsq (specific area resistance). The specific resistivity ρ of the film is obtained by multiplying with the layer thickness. Assume a thickness of one μm and a typical mobility of about 20 cm2/Vs, then we need carrier densities between 1020 and 1021 cm-3.

The figure below shows the dielectric function as well as the refractive index of an aluminium doped ZnO layer [1]. In order to illustrate the power of the simple model, calculated curves are superimposed to the data and extended to energies below 0.6 eV (dashed lines). A high frequency dielectric constant of ε of 3.9, a plasma frequency ωp of 1x1014 1/s (corresponding to a carrier density of about 3x1020 1/cm-3), and a relaxation time τ of 6x10-15 s corresponding to a mobility of about 30 cm2/Vs were assumed. The relations between mobility and relaxation time is discussed in the chapter about semiconductor physics.

For photon energies of more than 3 eV the behaviour is dominated by absorption phenomena. In the figure below the simple oscillator model has been used which attributes for the dispersion between 2 and 3 eV, but close to the bandgap again the model is far too simple. A better description requires the inclusion of excitonic phenomena [2].

From the Drude part we expect metallic reflection and absorption phenomena in the near infrared, somewhere between wavelengths of 1.5 and 3 μm. The figure below presents transmission, reflection and absorption of a ZnO:Al layer with lower mobility. In this case the free carrier absorption is broad and can extend almost into the visible wavelength regions where we want light transmission into the absorber.

With respect to photon energy we can distinguish several regions:

By the average reflection of about 10% in the visible range we can estimate a value of about 2 for the dielectric constant of ZnO by using the Beer formula. If we additionally know the thickness of the sample and the positions of the maxima and minima we can calculate the orders of reflection. This is useful to evaluate n more accurately at the particular positions of maxima and minima and thus its dependence on the wavelength. This kind of dependence is called dispersion of the refractive index.

[1] K. Postava, H. Sueki, M. Aoyama, T. Yamaguchi, K. Murakami, Y. Igasaki, Appl. Surf. Sci 175/176 (2001) 543
[2] H. Yoshikawa and S. Adachi, Jpn. J. of Phys. 36 (1997) 6237
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