Self-Consistent Drift-Diffusion Analysis of Intermediate Band Solar Cell (IBSC):
Effect of Energetic Position of IB on Conversion Efficiency
Katsuhisa Yoshida
1,2
, Yoshitaka Okada
1,2
, and Nobuyuki Sano
3
1
Graduate School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, JAPAN
2
Recearch Center for Advanced Technology, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8904, JAPAN
3
Insititute of Applied Physics, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, JAPAN
ABSTRACT
The intermediate band solar cell (IBSC) has been
intensively investigated both experimentally and
theoretically. Numerical analyses based on the detailed
balance method are performed to search for the best
suitable candidates of material combination for IBSC and
the operation conditions. Analytical treatment of drift-
diffusion equations has also been reported under limited
approximations. However, to study the device
characteristics, self-consistent treatments of both the
carrier continuity equations and the Poisson equation are
required. In this work, we report on the dependence of
conversion efficiency on energetic position of IB and on
the concentration by using 1-D self-consistent drift-
diffusion simulator which we developed for GaAs based
solar cell with InAs quantum dots.
The dependence of the efficiency on energetic
position of IB above the midgap of GaAs was calculated
for 1, 10, 100 and 1000 suns conditions with and without
doping in IB region. The optimal IB position shifted to
lower energies with increase of concentration in the case
of intrinsic IB region. While, in the case of doped IB region,
the optimal IB position was almost fixed at 0.95eV. If,
however, the IB was set in the middle of the energy gap of
GaAs, efficiencies showed lower values with higher
concentrations. This is because, according to our present
model, very few photons contribute to the optical
transition (generation) in CB-IB and most photons are
absorbed in VB-IB transitions such that there is a large
mismatch in the generation-recombination rates in these
transition paths.
INTRODUCTION
The intermediate band solar cell (IBSC) [1] has been
intensively investigated both experimentally [2] and
theoretically. IBSC utilizes photons, which have lower
energies than the bandgap energy of host material and do
not contribute to carrier generation in single-junction solar
cells, by two-step photogeneration via IB. Thus, optimal
combination of host material bandgap and intermediate
band gives about 63% conversion efficiency under full
concentration. Experimentally, quantum dot based
structure [2] is one of the candidates for realizing the IBSC
operation principle. Numerical analyses based on the
detailed balance method have been performed to search
for the best suitable candidates of material combination for
IBSC and the operation conditions [1]. Analytical
treatments of drift-diffusion equation are also reported
under limited approximations [3,4]. Unfortunately, the self-
consistency of both the carrier continuity equations and
the Poisson equation is seldom achieved. From the
viewpoint of a realistic analysis, a self-consistent treatment
would be of most importance. Recently, Lin et al. [5] have
reported IBSC device operations based on the self-
consistent drift-diffusion method by extending the
approach proposed by Schmeits et al. [6]. In this work, we
report on the dependence of conversion efficiency on
energetic position of IB by using 1-D self-consistent drift-
diffusion simulator developed appropriate for GaAs based
solar cell with InAs quantum dots (QDs), and on the
concentration.
In the following section, treatments of the Self-
Consistent Drift-Diffusion Method with IB Balance
Equation and modeling of optical generation rates via IB
are presented. By using our method, optimal combinations
of GaAs bandgap and energy position of IB under 1, 10,
100 and 1000 concentrated the sun light were investigated.
NUMERICAL METHOD
The self-consistent drift-diffusion method is usually
adopted to analyze the device characteristics. This
method is based on the basic device equations in
semiconductors, namely, the Poisson equation and carrier
continuity equations for electrons in conduction band (CB)
and holes in valence band (VB). In the case of IBSC, there
Figure 2 Calculated solar cell structure. x0 is the end of
p emitter layer, LI is the length of IB region and L is
total length.
Figure 1 (a) Illustration of energy states EC, EI and EV and
of quasi Fermi states C, I and V, (b) Relations of
absorption specta used in the simulation, respectively.
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