In a recent publication,1 the microscopic origins of radiative losses in the open-circuit voltages (Voc) of thin-film solar cells were discussed. It was highlighted that the radiative Voc losses can be quantified via the band-gap broadening σgap from the first derivative of the external quantum efficiency (EQE) or absorptance spectrum around the band-gap energy (Egap). The Urbach energy EU as a function of the photon energy Eph can be obtained by applying2–4,
(1)
Here, C is a constant. Equation (1) describes a linear relationship between ln[a(Eph)] and Eph with the slope EU−1. In Ref. 1, the Urbach energies were extracted close to the band-gap energy (see Fig. 1). It is apparent from Fig. 1 that the extraction of EU close to Egap (1.11 eV) results in large Urbach energy values, mainly since in this Eph region, there is a strong impact by the band-gap broadening [and also since the approach depicted by Eq. (1) results in an overestimation of EU, as already mentioned in Ref. 1]. EU is correctly assessed in Eph regions where EQE(Eph) exhibits a linear dependency on the photon energy (at around 1.05 eV in Fig. 1). The corresponding is discussed more in detail in Ref. 5.
FIG. 1.

Natural logarithm of the external quantum efficiency (EQE) spectrum of a high-efficiency Cu(In,Ga)Se2 solar cell as a function of the photon energy. When extracting the Urbach energy EU at the position of the band-gap energy (Egap), the slope of ln(EQE) contains a strong contribution by the Egap broadening. The Urbach energy is correctly assessed where ln(EQE) exhibits a linear dependency on the photon energy, i.e., at considerably lower photon energy values.

FIG. 1.

Natural logarithm of the external quantum efficiency (EQE) spectrum of a high-efficiency Cu(In,Ga)Se2 solar cell as a function of the photon energy. When extracting the Urbach energy EU at the position of the band-gap energy (Egap), the slope of ln(EQE) contains a strong contribution by the Egap broadening. The Urbach energy is correctly assessed where ln(EQE) exhibits a linear dependency on the photon energy, i.e., at considerably lower photon energy values.

Close modal

In Ref. 1, the Urbach energies EU determined by evaluating EQE spectra of about 30 different solar cells exhibited a strong correlation with the corresponding band-gap broadening values σgap from the same EQE spectra. This finding is not astonishing since the Urbach energies were extracted close to the band-gap energy, where strong influence of the band-gap broadening is present. When correctly assessing EU in Eph regions where the ln(EQE) spectra feature linear relationships with Eph, there is no correlation of EU with σgap anymore (Fig. 2).

FIG. 2.

Urbach energies EU as a function of the band-gap broadening σgap from about 30 different (Ag,Cu)(In,Ga)Se2 solar cells. No correlation was detected.

FIG. 2.

Urbach energies EU as a function of the band-gap broadening σgap from about 30 different (Ag,Cu)(In,Ga)Se2 solar cells. No correlation was detected.

Close modal

Thus, while the band-gap broadening σgap can be linked to microscopic features in the solar-cell stacks, as described in Ref. 1, it is still unclear which material properties in solar-cell absorbers give rise to the Urbach tails. This issue is topic of future research efforts.

The authors are indebted to various colleagues who provided the EQE spectra evaluated for the present work: Professor Marika Edoff, Uppsala University; Dr. Motoshi Nakamura, Solar Frontier (formerly); Dr. Shogo Ishizuka, Dr. Jiro Nishinaga, AIST; Dr. Wolfram Witte, Dr. Dimitrios Hariskos, ZSW Stuttgart; Dr. Reiner Klenk, Dr. Pablo Reyes, HZB Berlin. Financial support by the Research Schools MatSEC and HyPerCells, the BMWi/BMWK-funded projects EFFCIS and EFFCIS-II under Contract Nos. 0324076B and 03EE1059B, and by the German-Israeli Helmholtz International Research School HI-SCORE (HIRS-0008) is gratefully acknowledged.

The data shown in the present work are available upon request from the author.

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