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The influence of dislocations on optical and electrical properties of epitaxial ZnO on Si (111) using a gamma-Al2O3 buffer layer

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The influence of dislocations on optical and electrical properties of epitaxial

ZnO on Si (111) using a g-Al

2

O

3

buffer layer

W.-R. Liu,

ab

B. H. Lin,

ac

S. Yang,

c

C. C. Kuo,

c

Y.-H. Li,

c

C.-H. Hsu,*

ac

W. F. Hsieh,*

ac

W. C. Lee,

d

M. Hong

d

and J. Kwo

ef

Received 17th September 2011, Accepted 2nd December 2011 DOI: 10.1039/c2ce06218f

The structural, optical and electrical properties of the c-plane ZnO epitaxial films grown by pulsed laser deposition on a Si(111) substrate buffered with a thin layer of g-Al2O3were investigated by X-ray

diffraction, transmission electron microscopy, photoluminescence (PL) and Hall measurements. Detailed structural investigation showed that the dominant structural defects in the ZnO films are threading dislocations (TDs). Experimental results manifest the edge- and screw-type of TDs influence the optical and electric properties differently; the intensity ratio between the PL yellow-green band to near band edge emission and the carrier concentration are affected mainly by the edge TD, and the FWHM of the near band edge emission is dominantly influenced by the screw TD.

Introduction

ZnO, a II–VI compound semiconductor, is a promising material for highly efficient light-emitting devices and other optical applications for UV luminescence because of its wide direct band gap, 3.37 eV, and large exciton binding energy, 60 meV near 295 K.1Much attention has been given to grow an epitaxial ZnO film on a silicon substrate because of the unique opportu-nity of integrating optoelectronic devices in the UV region with well developed Si technology, but the growth of a ZnO epitaxial film directly on Si(111) is a great challenge because of the large mismatch of lattice parameter (15%) and thermal expansion coefficient (56%). More importantly, the formation of an amorphous SiO2layer at the ZnO/Si(111) interface prohibits the

formation of a high-quality epitaxial layer and results in poly-crystalline or highly textured ZnO films.2–4 Much effort has

therefore been devoted to grow a (0001)-oriented ZnO epitaxial film with various buffer layers, such as g-Al2O3,5Y2O3,6ZnS,2

Zn/MgO,7Mg/MgO,8Sc2O39and GaN.10

Structural defects, such as threading dislocations (TDs), are inevitably generated inside the ZnO layer at a large density to

release the strain energy caused by the large lattice mismatch and the significant difference in thermal expansion coefficient between ZnO and the substrate. A dislocation is well known to serve as a sink of point defects; it produces defect states in the band gap, which enhance the deep-level emission (DLE) in photoluminescence (PL) spectra and can be partially occupied by negative charges until the energy of the states attains the Fermi energy of ZnO.11–15The type and geometry of dislocations thus crucially affect the electrical and optical properties of the ZnO epi-films.

In this work, we investigated the influence of various TDs on PL and the carrier concentration of a high-quality ZnO epi-film grown on a Si(111) substrate buffered with a g-Al2O3epi-layer

of thickness 15 nm. The decreased enthalpy of formation of g-Al2O3 (DHg-Al2O3¼ 1643.7 kJ mol1) relative to SiO2

(DHSiO2¼ 910 kJ mol1) impedes the formation of interfacial

silica and results in the epitaxial growth of g-Al2O3on Si.5The

density of TDs and the crystal structure were analyzed with X-ray diffraction (XRD) and a transmission electron microscope (TEM). PL and the Hall effect were measured to characterize the optical and electrical properties, which exhibit a strong correlation with the edge and screw TDs but in varied aspects.

Experimental

A cubic g-Al2O3 (a0 ¼ 7.911 A) of thickness 15 nm was

deposited on a Si(111) substrate near 750C using electron-beam evaporation from a highly pure single-crystal sapphire source in a multi-chamber molecular-beam-epitaxy (MBE) growth system.16The details of the growth of the g-Al

2O3epi-layer are

reported elsewhere.17The ZnO layers of thickness0.3 mm were

subsequently grown by deposition with a pulsed KrF excimer laser (PLD) (l ¼ 248 nm).5,6The beam was focused to produce an

aDivision of Scientific Research, National Synchrotron Radiation Research

Center, Hsinchu, 30076, Taiwan. E-mail: chsu@nsrrc.org.tw; wfhsieh@ mail.nctu.edu.tw

bDepartment of Photonics & Institute of Electro-Optical Science and

Engineering, National Cheng Kung University, Tainan, 70101, Taiwan

cDepartment of Photonics and Institute of Electro-Optical Engineering

National Chiao Tung University, Hsinchu, 30010, Taiwan

dDepartment of Materials Science & Engineering, National Tsing Hua

University, Hsinchu, 30013, Taiwan

eCenter for Condensed Matter Sciences, National Taiwan University,

Taipei, 10617, Taiwan

fDepartment of Physics, National Tsing Hua University, Hsinchu, 30013,

Taiwan

Cite this: CrystEngComm, 2012, 14, 1665

www.rsc.org/crystengcomm

PAPER

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energy density of 5–7 J cm2at a repetition rate of 10 Hz on a commercial hot-pressed stoichiometric ZnO (5N) target. No oxygen gas flow was introduced during growth, and the substrate temperature ranged from 200 to 400C. The structural proper-ties of the samples were characterized with XRD and TEM. XRD measurements were performed with a four-circle diffrac-tometer at beamline BL13A of National Synchrotron Radiation Research Center (NSRRC), Taiwan with an incident wavelength of 1.0247 A. Slits in two pairs were located between the sample and a NaI scintillation detector to yield a resolution typically better than 4  103 nm1. Cross-sectional TEM images were recorded (by MA Tech) with a TEM (field-emission-gun type, Philips TECNAI-20). The electrical properties were character-ized with a Hall measurement system (Ecopia HMS-3000) in a van der Pauw configuration at 295 K. The PL was measured with a He–Cd laser (wavelength 325 nm) as a pumping source. The emitted light was dispersed with a spectrometer (Triax-320) and detected with a photomultiplier tube sensitive to UV light.

Results and discussion

A cross-sectional TEM image of a sample grown at 300C with a Si [101] pole is shown in Fig. 1, which illustrates the great crystalline quality of the grown layers and the sharp g-Al2O3/Si

interface. No amorphous interfacial layer was found. The selected-area electron-diffraction (SAED) pattern recorded near the buffer region, as depicted in the inset of Fig. 1, reveals the epitaxial relation of ZnO(0001)kg-Al2O3(111)kSi(111) and

ZnOh1010ikSih112i, but the observation of two 040 reflections of g-Al2O3 in the SAED pattern is contrary to the expected

three-fold symmetry. Previous X-ray scattering measurements showed that the growth of g-Al2O3 on Si(111) conformed to

a cube-on-cube growth with its (111) planes parallel to the Si substrate surface.17 Azimuthally, two rotational twins coexist with the A-type domains of g-Al2O3[211]kSi[211] dominating

over the B-type domains of g-Al2O3[211]kSi[211], as evident

from the XRDf-scans across Si 220 and g-Al2O3440 reflections,

depicted in Fig. 2. Also displayed at the bottom of Fig. 2 is an azimuthal scan across ZnO 1011 reflections; six evenly spaced

sharp peaks elucidate the hexagonal symmetry of wurtzite ZnO. The coincidence of the angular positions of these peaks with those of g-Al2O3 440 yields an epitaxial relation of ZnO

(0001)h1010ikg-Al2O3 (111)h112i. Fig. 2 shows also that the

width of the peaks of azimuthal scans across ZnO off-normal reflections is one half to one third of that of the underlying g-Al2O3. The lateral coherent length of ZnO is more than ten

times that of the g-Al2O3buffer layer as determined by the XRD

in-plane radial scans (not shown). The structural characteristics of the ZnO layer are clearly superior to those of the g-Al2O3

buffer layer. A large density of defects is expected near the interfacial region to accommodate the lattice deformation, as evident from the progressive improvement of ZnO crystalline perfection with increasing layer thickness.

The crystal structure of g-Al2O3belongs to space group Fd3m

(space group number 227) with oxygen atoms occupying the 32e sites (Wyckoff positions). Along the [111] direction, each unit cell contains six oxygen layers, nearly equally spaced, in which oxygen atoms form a 2-D defective hexagonal lattice as illus-trated in Fig. 3. The stacking of the oxygen layers follows a sequence A–B–C–A–B–C along [111], resembling a face-centered cubic (fcc) lattice. According to the determined epitaxial relation, the unit cell of ZnO, depicted as a red shaded parallel-ogram, is aligned with the oxygen sub-lattice in g-Al2O3, the blue

parallelogram. An identical orientation relation has been observed in ZnO grown on various oxide surfaces including sapphire(0001),16,18 Y2O3(111),6 Gd2O3(Ga2O3)(111)19 and

La2O3(111).20 This observation strongly indicates that the

continuity of the oxygen sub-lattice anchors the orientation of the ZnO overlayer.

The lattice parameter a¼ 3.24 A of ZnO (c¼ 5.20 A) is about 16% larger than the lattice parameter of the hexagonal oxygen sub-lattice in g-Al2O3, aðOÞ ¼

ffiffiffi 2 p

=4  a0ðg  Al2O3Þ ¼ 2:80 A.

According to a picture of epitaxial growth, the ZnO layer was expected to be compressively strained, but the large lattice mismatch was readily accommodated during the early stage of growth through the generation of misfit dislocations at a large density near the g-Al2O3/ZnO interface. The abrupt diminution

of the strain field can be visualized according to the contrast variation localized near the g-Al2O3/ZnO interface in the

cross-section TEM micrograph shown at small magnification in

Fig. 1 Cross-sectional TEM micrograph recorded along projection [101]Siand the corresponding SAED pattern in the inset. Subscripts A

and B denote the rotational domain of g-Al2O3aligned and rotated 180

with the Si lattice, respectively.

Fig. 2 XRD azimuthal scans across off-normal ZnO 1011, g-Al2O3440,

and Si 220 reflections.

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Fig. 4. All ZnO layers of our samples exhibited a lateral lattice parameter (within0.3%) slightly larger than the bulk value as determined by XRD data. The ZnO layers were hence fully relaxed at that growth temperature, and the observed tensile strain state is attributed to the coefficient of thermal expansion of ZnO (5.0 106K1) being larger than that of Si (3.6 106K1), which would produce a tensile thermal stress. Even though g-Al2O3has the largest thermal expansion

coeffi-cient (8.2  106K1) among the three materials, the thermal

stress induced by the g-Al2O3 layer is negligible in this case

because of its slight thickness. We observed the same phenom-enon in other ZnO/Si(111) hetero-epitaxial systems with various buffer layers of nanometre thickness, such as Y2O36 and

Gd2O3(Ga2O3).19

In addition to misfit dislocations, there also exist threading dislocations (TDs) running through the interior of the ZnO layers primarily along the [0001] direction, similar to what was found in ZnO films grown on commonly used c-sapphire.16These TDs are identified by the contrast lines stemming from the ZnO/ g-Al2O3interface in Fig. 4. Dislocations are classified into three

types—screw, edge and mixed, according to the direction of the corresponding Burgers vector (b) relative to the dislocation line

direction.21,22 For a (0001)-oriented thin film of wurtzite struc-ture, with the TDs with their dislocation lines lying along the [0001] direction, the Burgers vectors b of edge, screw and mixed dislocations are, respectively, bC¼ h0001i, bE¼ 1/3h1120i and

bM¼ 1/3h1123i, which is a combination of bCand bE. The type of

dislocations can be characterized with a TEM diffraction-contrast analysis. The diffraction-contrast of dislocations in TEM images arises from diffraction on the lattice planes that are distorted by the dislocations. Applying the invisibility criterion g$b ¼ 0,23,24in

which g denotes the operating diffraction vector, we analyzed the images of the sample grown at 300C recorded with g equal to ZnO 0002, 1120, and 1122 reciprocal lattice vectors. The total density of TDs is determined to be approximately 2.4 1010cm2

and the edge component prevails over the screw component. To assess quantitatively the defect structures, we performed XRD measurements. Edge TDs have the corresponding Burgers vector lying in the basal plane of ZnO; they twist the surrounding lattice about the c-axis and lead to the formation of vertical grain boundaries.22,25,26In contrast, screw TDs have the corresponding

Burgers vector parallel to the c-axis; they tilt the ZnO lattice, generate a pure shear strain field27and deform the basal planes.

The (h0 h0) crystalline planes are thus distorted by the edge TD but are unaffected by the screw TD; the associated profiles thus serve to determine the twist angle and the density of edge dislo-cations. In contrast, the 000l reflections are sensitive to screw but not to edge TDs; their line widths are employed to determine the tilt angle and the density of screw TDs in ZnO.

The h0 h0 and 000l reflections were measured to investigate the influence of the edge and screw TD, respectively. The full width at half maximum (FWHM) of h0 h0 and 000l rocking curves reflect the lattice twist or tilt, and the line widths of radial scans yield the lateral or vertical inhomogeneous strain field and domain size. We employed the Williamson–Hall (W–H) plot (Dq vs. q, in which q¼ 4psin q/l denotes the scattering vector and Dq is the line width of q along the radial direction) to analyze the line width of radial scans, to separate the reflection profile broadening due to a finite structural coherent length from the strain-induced broadening. The inverse of the ordinate intercept yields the coherence length, or equivalently the effective domain size; the slope yields the root-mean-square inhomogeneous strain averaged over the effective domains.28The coherence lengths and

inhomogeneous strains along the in-plane and growth directions with the tilt and twist angles of the samples grown at various temperatures are listed in Table 1. The range of the structural coherence lengths in both directions is a few thousand A. For samples grown at 200 and 300C, the coherence length along the growth direction is comparable with the layer thickness, implying that the structure retains coherence throughout the entire layer thickness. The average lateral strain is 3.4–4.7 103, about 2–3 times that along the surface normal, 1.3 to 1.6 103. The twist angle (aF) and tilt angle (aU) of ZnO fall in ranges 1.63–1.89and

0.34–0.51, respectively. The ZnO layer with the least tilt angle thus has the largest twist angle. The same trend was observed in samples of another batch grown under the same conditions but on a buffer layer with slightly poorer structural perfection. This phenomenon was not observed, however, for ZnO grown on other buffer layers, such as Y2O3and Gd2O3(Ga2O3), or on other

substrates, such as c-plane sapphire, for which tilt and twist angles invariably exhibit the same trend of increase or decrease

Fig. 3 Projection of the oxygen sub-lattice onto the g-Al2O3 (111)

surface. The smaller parallelogram depicts the corresponding 2-D hexagonal unit cell and the larger one is the unit cell of ZnO in the basal plane. A, B, and C indicate the O2ionic position of a stacking sequence

along the [111] direction in the g-Al2O3unit cell.

Fig. 4 Bright-field cross-section TEM image of the ZnO film grown at 300C under two-beam conditions with g¼ 0002, at small magnification.

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with growth conditions.16This result indicates that the tilt angle alone is insufficient to describe the crystalline quality of the ZnO films; one must take both tilt and twist angles into account.16,29 Moreover, the opposite trend, increase and decrease, of the tilt and twist angles with growth conditions observed in this case allows us to examine independently the influence of edge and screw TDs on the optical and electrical properties of the grown films.

The TD density can be quantitatively estimated from the tilt or twist angle and the corresponding Burgers vector. The density of screw dislocations (Ns) is obtained with equation NS ¼ a2U/

4.35b2C, in whichaUdenotes the tilt angle and bC is the length

of the corresponding Burgers vector bC, which is [0001] with

bC ¼ 0.519 nm in our case.30 The edge TD density, NE, is

calculated from NE ¼ a 2

F/4.35b2E, in which aF and bE are the

twist angle and the length of the corresponding Burgers vector (bE ¼ 0.325 nm), respectively, provided that the TDs follow

a random distribution. If dislocations are piled up at small angle boundaries, the formula NE¼ aF/2.1|bE|L applies, in which the

formation of subgrains of average size L along the lateral direction is taken into account. For a system with neither random nor piled-up distribution, the edge dislocation density lies between the two values. The calculated TD densities are also summarized in Table 1. The TD density estimated from the TEM contrast analysis is nearer that obtained with the piled-up model, which we thus adopt for subsequent correlation of structural and optical properties. As the density of edge TDs is much larger than that of screw TDs, edge TDs are the dominant type of disloca-tions in ZnO grown on g-Al2O3/Si(111), consistent with the TEM

observation, and the same as for ZnO films grown on the commonly used substrate, c-plane sapphire.

PL spectra recorded at 15 K, as displayed in Fig. 5, were measured to examine the optical characteristics of the ZnO films. The spectra comprise two main features, the intense and narrow near band-edge (NBE) emission, centered at3.36 eV, and the broad deep-level emission (DLE) located at 2.2 eV, which is generally attributed to point defects such as Zn interstitials or O vacancies.31–33 Expanded spectra of the NBE region with the

spectrum of a ZnO wafer are shown in the inset. The dominant feature in the NBE region is assigned to the recombination of an A-exciton bound to a neutral donor (DoX

A), of which the line

position shifts toward smaller energy relative to that of strain-free bulk ZnO (3.366 eV). The extent of the red shift monotonically increases with the biaxial relaxation coefficient, RB¼ 3

zz/3xx, in which3zzand3xxdenote the normal and lateral

strains,34of the tensile-stressed ZnO layer; this phenomenon is

similar to that reported for a GaN epi-layer.35,36 The NBE spectrum of the sample grown at 300C is plotted on a semi-log scale in Fig. 6. Features associated with the longitudinal optical (LO) phonon replicas coupled with a donor-bound exciton DoX

A, DoXA-1LO and DoXA-2LO, are centered at 3.288 eV and

3.215 eV, respectively. Other features, such as a two-electron satellite (TES) at 3.328 eV, a donor–acceptor pair (DAP) at 3.23 eV, and a free exciton FXAat 3.375 eV are clearly identified,

indicating the satisfactory optical properties of the obtained layers. By fitting the temperature-dependent intensity variation of the FXAemission with an Arrhenius expression, we calculated

an A-exciton binding energy to be 57.67 meV, in satisfactory agreement with 60 meV for bulk ZnO crystal.1

In addition to a narrow and intense NBE emission, a negligible DLE intensity is also desirable for optical applications. The intensity ratio of DLE to NBE emissions can be adopted as a measure of optical performance. The FWHM of NBE emis-sions and the ratio IDLE/INBEfor ZnO films grown at various

temperatures are summarized in Table 2. The optical perfor-mance of a ZnO film grown at 300C is the best in the NBE region but the worst in the DLE region; i.e., there exists an opposite trend between the NBE width and the ratio IDLE/INBE

with ZnO growth temperature. As mentioned above, the tilt and twist angles, which are, respectively, related to the density of edge- and screw-type TDs, also exhibit opposite trends with

Table 1 Lattice parameter, coherent length, inhomogeneous strain, tilt angle, twist angle, screw TD density and edge TD density of ZnO epi-layers grown at various temperatures

Growth temp. Lattice constant (a) a and (b) c/A Coherent length (a) Surface-normal and (b) in-plane/A Inhomogeneous strain [103] (a) and surface-normal and (b) in-plane Tilt angle/deg Twist angle/deg Edge TD density [1010cm2] (a) and random and (b) pile up Screw TD density [109cm2] 200C 3.26078 2341.36 1.63 0.419 1.636 17.64 4.56 5.19273 2160.72 3.86 1.39 300C 3.25384 2242.53 1.31 0.34 1.891 20 2.97 5.19375 997.04 3.356 3.49 400C 3.26055 1379.78 1.49 0.507 1.723 19.575 6.7 5.19214 2720.39 4.69 1.64

Fig. 5 PL spectra measured at 15 K for ZnO films grown at various temperatures. The intensities of the spectra are normalized to the maximum intensity of the NBE emission. The inset shows the NBE region spectra in magnification with the additional spectrum of bulk ZnO as a reference.

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growth temperature. Fig. 7(a) shows the dependence of ratio IDLE/INBEon the edge TD density calculated with the piled-up

model. Fig. 7(b) illustrates the NBE line width as a function of screw TD density. The ratio IDLE/INBEand the FWHM of the

NBE exhibit a monotonic increase with the density of edge and screw TDs, respectively. In contrast, the distribution of IDLE/

INBEscatters randomly with the screw TD density, and the line

width of the NBE emission shows no clear correlation with the edge TD density. The NBE emission is governed predominantly by the screw component of the TD, and the edge TDs play the key role in affecting the DLE intensity. This correlation between the structural quality and the optical performance is extensible to the ZnO epi-layers grown under similar conditions on c-plane sapphire, for which both the tilt angle, 0.17, and the twist angle, 0.59, of the ZnO layer are much smaller. Relative to ZnO grown on g-Al2O3, it yields much smaller NBE line width, 7.03 meV,

and a significantly smaller ratio, IDLE/INBE¼ 0.003. The features

in the NBE region, such as the longitudinal optical phonon replicas and DAP, were also better resolved in the layer grown on sapphire.

Similar phenomena have been reported for III-nitride epi-films, which have the same wurtzite structure and optical char-acteristics similar to those of ZnO. Zhao et al. reported that the intensity ratio of yellow to NBE luminescence of GaN epi-films depended strongly on the twist angle (screw dislocation density) and was much less influenced by the tilt angle (edge dislocation density).36That the FWHM of the PL NBE emission increases with screw dislocation density was reported also for AlN epi-layers.37All these observations support the arguments that screw

TDs can act as non-radiative centers in decreasing the NBE emission intensity, and the existence of edge TDs leads to aggregation of point defects due to the stress field near disloca-tion cores and results in an enhanced DLE intensity.32,38

We tested also the effect of post-growth annealing on the optical characteristics of the ZnO layers. After annealing at 800C for 100 min in an O2atmosphere, both the DLE emission

intensity and the NBE line width diminished significantly. PL spectra of the sample grown at 300 C, illustrated in Fig. 8, represent the typical effect of thermal annealing under O2. The

characteristic features of PL spectra before and after this thermal treatment are summarized in Table 2. In contrast, the DLE intensity was enhanced when the sample was annealed in a N2

atmosphere. The structural quality of the films as characterized by XRD shows no obvious improvement after annealing. These tests indicate that O vacancies, to which XRD is insensitive, are plausibly another major source of DLE emission. According to

Fig. 6 NBE PL spectrum, measured at 15 K, of a sample grown at 300C. The dashed lines mark the position of the DoX

Apeak of bulk

ZnO.

Table 2 Characteristic features, ratio IDLE/INBE and NBE FWHM of PL spectra recorded for samples grown at various temperatures. Both

as-deposited and after post-growth annealing data are included

Growth temp.

As deposited Annealed

Ratio (IDLE/INBE) NBE FWHM/meV Ratio (IDLE/INBE) NBE FWHM/meV

200C 0.033 13.44 0.0279 7.22

300C 0.244 9.44 0.0273 7.21

400C 0.101 16.09 0.0151 8.16

Fig. 7 (a) Ratio IDLE/INBEand carrier concentration as a function of

edge TD density. (b) Dependence of the NBE line width on the screw TD density. The dashed curves are plotted for visual guidance.

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these results, we learned that both edge TD and O vacancies are intimately related to DLE; as for the correlation between edge TD and O vacancies, further tests are necessary to answer the question.

The electric properties of the ZnO films were characterized with measurements of the Hall effect conducted near 295 K. The major carriers in ZnO layers are verified to be electrons, revealing the n-type nature of the ZnO layers, the same as for typical undoped ZnO. The order of the obtained mobility is a few tens of cm2V1s1. No obvious correlation between the carrier mobility

and the density of edge or screw TDs was found. Also plotted in Fig. 7(a) and (b) are net carrier concentration vs. the edge and screw TD densities, respectively. The measured net carrier concentration decreases with increasing edge TD density but distributes randomly with screw TD density. The same phenomenon was reported by Zhao et al. on GaN grown on c-plane sapphire by MOCVD, for which the carrier concentration decreased with increasing XRD peak width of the GaN (1012) reflection, or equivalently the density of edge TDs.36,39 There

exist many dangling bonds in the core of edge dislocation lines, in which impurities or point defects might be trapped. This condi-tion would induce deep acceptor-like trap states that can capture electrons from the conduction band in n-type semiconductors and act as electron killers.40,41In the case of n-type GaN, the edge

dislocation cores are normally negatively charged,42 and the

decreased concentration of free electrons can be attributed to the compensation effect from the increasing acceptor-like trap states introduced by the edge dislocations. In our previous work, results from a scanning capacitance microscope and a conductive atomic-force microscope (CAFM) indicated a smaller local carrier concentration and greater interface trap density, Dit, in

the grain-boundary regions with a large density of negatively charged edge TDs in ZnO grown on c-plane sapphire.13,15,43 First-principles studies on the energetics as well as atomic and elec-tronic structures of native point defects in ZnO based on density functional theory within the local density approximation (LDA) and with additional Habbard U correction, LDA + U,44,45or

within the generalized gradient approximation (GGA) and GGA + U,45both revealed that Zn vacancies with two negative charges, V2Zn, have the lowest formation energy among all native

point defects in n-type ZnO and exist in modest concentration. These acceptor-type defects can compensate for carrier electrons and result in the smaller local carrier concentration. It is thus

plausible that doubly charged Zn vacancies (V2Zn) are the defects

trapped in the dislocation cores. In our previous CAFM studies, the local current–voltage (I–V) characteristics measured near the grain boundary with large density of TDs revealed the existence of a defect level of 0.4 0.025 eV below the conduction band maximum. This defect level is in good agreement with the esti-mated V2Zn energy level of 0.4–0.5 eV reported in ref. 46 and

supports the above-mentioned argument. The V2Zn decorated

edge TDs thus play an important role in reducing the carrier concentration in n-type ZnO films.

Conclusions

A high-quality ZnO epitaxial film has been grown with pulsed-laser deposition on Si(111) substrates with a thin oxide g-Al2O3buffer layer. According to XRD and TEM analysis, the

major defect structures in the ZnO film are threading disloca-tions; the edge type of TD is the dominant component in ZnO epi-films. The correlation between type of TD and their influence on optical and electrical properties was established with XRD, LT-PL and Hall measurements. Our results demonstrate that the ratio IDLE/INBEand the carrier concentration are affected mainly

by the edge TD, and the FWHM of the NBE is dominantly influenced by the screw TD. O vacancies also play an important role in affecting the DLE. The correlation between structure and other physical properties indicates that the edge type TD is more harmful to the optical and electric properties of ZnO than the screw type TD. To optimize growth parameters of ZnO or to develop a new growth method to effectively diminish the density of TDs, especially the edge-type ones, remains an important issue for its prospective applications to photonic devices.

Acknowledgements

We thank Professor S. Gwo and Dr H. M. Lee of Department of Physics, National Tsing Hua University, for assistance in the Hall measurements. National Science Council of Taiwan partly supported this work under grants NSC-96-2113-M-007-025-MY2 and NSC-97-2112-M-213-003-MY3.

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數據

Fig. 1 Cross-sectional TEM micrograph recorded along projection [10 1] Si and the corresponding SAED pattern in the inset
Fig. 4. All ZnO layers of our samples exhibited a lateral lattice parameter (within 0.3%) slightly larger than the bulk value as determined by XRD data
Table 1 Lattice parameter, coherent length, inhomogeneous strain, tilt angle, twist angle, screw TD density and edge TD density of ZnO epi-layers grown at various temperatures
Fig. 7 (a) Ratio I DLE /I NBE and carrier concentration as a function of

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