Highly mismatched alloys include a class of III-V and II-VI compound
semiconductors in which the anion species is partially replaced with an
isoelectronic element of much different electronegatively and/or
covalent radius. These alloys exhibit large-scale bowing of the
bandgap among other interesting properties upon the incorporation of
even a few percent of the species being alloyed. Among these HMAs
are dilute III-V nitrides, notably GaNxAs1-x,
which exhibits a reduction of the band gap by as much as 180 meV per N
mole fraction, x (Fig. 1). Comparably large band gap reductions
have also been observed in other III-Nx-V1-x
alloys such as GaInNAs, GaNP, InNP and AlGaNAs. The strong dependence
of the band gap on the N content has made these dilute III-V nitrides
important materials for a variety of applications, including long
wavelength optoelectronic devices and high efficiency hybrid solar
cells. |
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Figure 1 |
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The unusually strong dependence of the fundamental gap on the N content
in the group III-N-V alloys has been explained by a band anticrossing
model (BAC). The BAC model takes into account an anticrossing
interaction between localized N states and the extended states of the
host semiconductor matrix. Such interaction splits the conduction band
into two subbands, E- and E+. The downward shift of the lower subband (E-)
is responsible for the reduction of the fundamental band gap and the
optical transition from the valence band to the upper subband (E+)
accounts for the high-energy edge. The model has been
successfully used to quantitatively describe the dependencies of the
upper and lower subband energies on hydrostatic pressure and on N
content of Ga1-yInyNxAs1-x, Ga1-yAlyNxAs1-x, InNxP1-x and GaNxP1-x alloys.
The BAC model not only explains the band gap reduction in III-Nx-V1-x
alloys but it also predicts that the N-induced modifications of the
conduction band may have profound effects on the transport properties
of this material system. |
Fig. 2.
Comparison of the measured maximum electron concentration with the
calculated values as a function of N fraction in Ga1-3xIn3xNxAs1-x.
The shaded area indicates the range of Se concentration in these
samples. |
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In particular, the downward shift of the conduction band edge and the
enhancement of the density of state effective mass in GaInNAs may lead
to much enhanced maximum electron concentration nmax. Recent
experiments have confirmed such prediction and showed that the modified
conduction band in GaNxAs1-x enables a large enhancement in the maximum achievable free electron concentration nmax as compared to GaAs (Fig. 2). While group VI donors (Se, S) led to increased maximum carrier concentration in GaNxAs1-x, group IV donors (Si, Ge) in GaNxAs1-x
resulted in a highly resistive layer. This disparity in the behavior of
group VI and IV donors can be explained by an entirely new effect in
which an electrically active substitutional group IV donor and an
isovalent N atom passivate each others' electronic effects. This mutual passivation occurs in Si doped GaNxAs1-x through the formation of nearest neighbor SiGa-NAs pairs. Consequently, Si doping in GaNxAs1-x under equilibrium conditions results in a highly resistive GaNxAs1-x
layer with the fundamental band gap governed by a net “active” N,
roughly equal to the total N content minus the Si concentration (Fig.
3). |
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Figure 3 |
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Selected Publications:
- W.
Shan, W. Walukiewicz, J. W. Ager III, E. E. Haller, J. F. Geisz, D. J.
Friedman, J. M. Olson, and S. R. Kurtz, “Band Anticrossing in GaInNAs
Alloys”, Phys. Rev. Lett. 82, 1221-1224 (1999).
- K.
M. Yu, W. Walukiewicz, W. Shan, J. W. Ager III, J. Wu, E. E. Haller, J.
F. Geisz, D. J. Friedman, J. M. Olson, and Sarah R. Kurtz,
“Nitrogen-Induced Enhancement of the Maximum Electron Concentration in
Group III-N-V Alloys,” Phys. Rev. B61, R13337 (2000).
- W.
Shan, W. Walukiewicz, K. M. Yu, J. W. Ager III, E. E. Haller, J. F.
Geisz, D. J. Friedman, J. M. Olson, Sarah R. Kurtz, and K. Nauka,
“Effect of Nitrogen on the Electronic Band Structure of Group III-N-V
Alloys,” Phys. Rev. B62, 4211 (2000).
- W.
Walukiewicz, W. Shan, K. M. Yu, J. W. Ager III, E. E. Haller, I.
Miotlowski, M. J. Seong, H. Alawadhi, and A. K. Ramdas, “ Interaction
of Localized Electronic States with the Conduction Band: Band
Anticrossing in II-VI Semiconductor Ternaries,” Phys. Rev. Lett. 85, 1552 (2000).
- J. Wu, W. Walukiewicz, K.
M. Yu, J. W. Ager III, W. Shan, E. E. Haller, I. Miotkowski, M. J.
Seong, H. Alawadhi, and A. K. Ramdas, "Band Anticrossing Effects in MgyZn1-yTe1-xSex Alloys," Appl. Phys. Lett. 80, 34 (2001).
- K. M. Yu, W. Walukiewicz, J. Wu, D. Mars, D. R Chamberlin M. A. Scarpulla, O. D. Dubon, and J. F. Geisz, , “Mutual Passivation of Electrically Active and Isovalent Impurities,” Nature Materials 1, 185 (2002).
- K.
M. Yu, W. Walukiewicz, J. Wu, W. Shan, and J. W. Beeman, M. A.
Scarpulla, O. D. Dubon, and P. Becla, “Diluted II-VI Oxide
Semiconductors with Multiple Band Gaps,” Phys. Rev. Lett. 91, 246203 (2003).
- W.
Shan, K. M. Yu, W. Walukiewicz, J. Wu, J.W. Ager III, and E.E. Haller,
“Band Anticrossing in Dilute Nitrides,” J. Phys. 16, S3355 (2004).
- J.
Wu, W. Walukiewicz, K. M. Yu, J. D. Denlinger, W. Shan, J. W. Ager III,
E. E. Haller, and T. F. Kuech; “Valence Band Hybridization in N-rich GaN1-xAsx Alloys,” Phys. Rev. B 70, 115214 (2004).
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