improved performance of gan-based light-emitting diodes by … · 2017-01-29 · p-gan (low...

6
Improved performance of GaN-based light-emitting diodes by using short-period superlattice structures Yi-jung LIU 1 , Chien-chang HUANG 1 , Tai-you CHEN 1 , Chi-shiang HSU 1 , Shiou-ying CHENG 2 , Kun-wei LIN 3 , Jian-kai LIOU 1 , Wen-chau LIU 1 1. Institute of Microelectronics, Department of Electrical Engineering, National Cheng-Kung University, Tainan 70101, Taiwan, China; 2. Department of Electronic Engineering, Nation Ilan University, I-Lan 26041, Taiwan, China; 3. Department and Graduate Institute of Computer Science and Information Engineering, Chaoyang University of Technology, Taichung 41349, Taiwan, China Received 23 August 2010; accepted 23 October 2010 Abstract: An InGaN/GaN multiple-quantum-well (MQW) light-emitting diode (LED) with a ten-period i (undoped) -InGaN/p (Mg doped) -GaN (2.5 nm/5.0 nm) superlattice (SL) structure, was fabricated. This SL structure that can be regarded as a confinement layer of holes to enhance the hole injection efficiency is inserted between MQW and p-GaN layers. The studied LED device exhibits better current spreading performance and an improved quality, compared with a conventional one without SL structure. Due to the reduced contact resistance as well as more uniformity of carriers injection, the operation voltage at 20 mA is decreased from 3.32 to 3.14 V. A remarkably reduced reverse-biased leakage current (10 7 10 9 A) and higher endurance of the reverse current pulse are found. The measured output power and external quantum efficiency (EQE) of the studied LED are 13.6 mW and 24.8%, respectively. In addition, significant enhancement of 25.4% in output power as well as increment of 5% in EQE for the studied devices is observed, as the studied devices show superior current spreading ability and reduction in dislocations offered by the SL structure. Key words: GaN; superlattice (SL); current spreading; hole confinement; electrostatic discharge (ESD) 1 Introduction To date, high-emission InGaN/GaN multiple- quantumwell (MQW) light-emitting diodes (LEDs) have attracted great interest for various applications. However, one should further improve an LED performance as there still exist many drawbacks to be overcome. One of the disadvantages is the low activation efficiency of Mg-doped GaN surface[1], which may substantially increase the contact resistances[2]. Thus, generally, the higher turn-on voltage of a GaN-based LED is observed because of the Schottky-like characteristics of p-GaN layer. In addition, due to the high resistivity of the p-GaN (low activation efficiency and low hole mobility) and the semi-insulating nature of sapphire substrates, the current-crowding effect nearby metal pads are found[3]. The internal self-heating effect underneath n- and p-pads deteriorates the optical, electrical properties, and reliability of LEDs[3]. Referring the superlattice (SL) contact layer, there were many applications to improve the surface Ohmic contact properties by smoothing the p-GaN epilayer as well as increasing the hole generation[47]. The current spreading capability would be improved by higher carrier concentration and smoother surface. Moreover, the surface leakage current would be suppressed due to the defect-free surface morphology by introducing the SL contact layer. Thus, the V-defects which are found to be the surface termination of mixed or screw dislocation[8], are directly blocked by a SL contact layer. A smooth p-GaN surface is found. SL structure was also widely used as a buffer to suppress the presence of underlying dislocations or misfits[910] when two semiconductor alloys with different lattice constants were grown successively. Thus, the epitaxial quality could be improved. On the other hand, different approaches by applying an inserted SL structure to achieve higher performance were reported by KINOSHITA et al [1113]. Unlike directly increase the hole concentration on the topmost contact layer, the hole injection could be enhanced by confining high density of holes in the Corresponding author: Yi-jung LIU; E-mail: [email protected]

Upload: others

Post on 29-Dec-2019

2 views

Category:

Documents


0 download

TRANSCRIPT

Improved performance of GaN-based light-emitting diodes by using short-period superlattice structures

Yi-jung LIU1, Chien-chang HUANG1, Tai-you CHEN1, Chi-shiang HSU1, Shiou-ying CHENG2,

Kun-wei LIN3, Jian-kai LIOU1, Wen-chau LIU1

1. Institute of Microelectronics, Department of Electrical Engineering, National Cheng-Kung University, Tainan 70101, Taiwan, China;

2. Department of Electronic Engineering, Nation Ilan University, I-Lan 26041, Taiwan, China; 3. Department and Graduate Institute of Computer Science and Information Engineering,

Chaoyang University of Technology, Taichung 41349, Taiwan, China

Received 23 August 2010; accepted 23 October 2010

Abstract: An InGaN/GaN multiple-quantum-well (MQW) light-emitting diode (LED) with a ten-period i (undoped) -InGaN/p (Mg doped) -GaN (2.5 nm/5.0 nm) superlattice (SL) structure, was fabricated. This SL structure that can be regarded as a confinement layer of holes to enhance the hole injection efficiency is inserted between MQW and p-GaN layers. The studied LED device exhibits better current spreading performance and an improved quality, compared with a conventional one without SL structure. Due to the reduced contact resistance as well as more uniformity of carriers injection, the operation voltage at 20 mA is decreased from 3.32 to 3.14 V. A remarkably reduced reverse-biased leakage current (10−7−10−9 A) and higher endurance of the reverse current pulse are found. The measured output power and external quantum efficiency (EQE) of the studied LED are 13.6 mW and 24.8%, respectively. In addition, significant enhancement of 25.4% in output power as well as increment of 5% in EQE for the studied devices is observed, as the studied devices show superior current spreading ability and reduction in dislocations offered by the SL structure. Key words: GaN; superlattice (SL); current spreading; hole confinement; electrostatic discharge (ESD) 1 Introduction

To date, high-emission InGaN/GaN multiple- quantumwell (MQW) light-emitting diodes (LEDs) have attracted great interest for various applications. However, one should further improve an LED performance as there still exist many drawbacks to be overcome. One of the disadvantages is the low activation efficiency of Mg-doped GaN surface[1], which may substantially increase the contact resistances[2]. Thus, generally, the higher turn-on voltage of a GaN-based LED is observed because of the Schottky-like characteristics of p-GaN layer. In addition, due to the high resistivity of the p-GaN (low activation efficiency and low hole mobility) and the semi-insulating nature of sapphire substrates, the current-crowding effect nearby metal pads are found[3]. The internal self-heating effect underneath n- and p-pads deteriorates the optical, electrical properties, and reliability of LEDs[3].

Referring the superlattice (SL) contact layer, there

were many applications to improve the surface Ohmic contact properties by smoothing the p-GaN epilayer as well as increasing the hole generation[4−7]. The current spreading capability would be improved by higher carrier concentration and smoother surface. Moreover, the surface leakage current would be suppressed due to the defect-free surface morphology by introducing the SL contact layer. Thus, the V-defects which are found to be the surface termination of mixed or screw dislocation[8], are directly blocked by a SL contact layer. A smooth p-GaN surface is found. SL structure was also widely used as a buffer to suppress the presence of underlying dislocations or misfits[9−10] when two semiconductor alloys with different lattice constants were grown successively. Thus, the epitaxial quality could be improved. On the other hand, different approaches by applying an inserted SL structure to achieve higher performance were reported by KINOSHITA et al [11−13]. Unlike directly increase the hole concentration on the topmost contact layer, the hole injection could be enhanced by confining high density of holes in the

Corresponding author: Yi-jung LIU; E-mail: [email protected]

Yi-jung LIU, et al/Progress in Natural Science: Materials International 20(2010) 70−75 71

inserted SL layers neighboring MQW layers. Thus, the carrier injection efficiency of MQW is superior to that of LED device without inserted SL structure. Moreover, different from the SL used for contact layer to reduce surface pits, the dislocation-induced traps, vacancies, deep-level states, strain, or leakage pathways in the p-GaN epilayer could be significantly diminished by using an inserted SL structure[14−15]. The diminishment of the threading dislocations, propagating from the underlying epilayer to the p-GaN, could also be responsible for the modulation of the inserted SL.

In this work, an inserted SL structure is applied as a hole confinement layer in InGaN/GaN MQW LEDs. A 10-period undoped InGaN/Mg-doped GaN (2.5 nm/5.0 nm) SL is inserted between MQW and p-GaN layers to serve as a current spreading layer as well as a dislocation filter. The p-GaN layers in SL act as confinement layers to cause the current to redistribute in the low-resistivity InGaN layers. By doing this, a more uniform hole injection is achieved. The thermal generation under n- and p- electrodes could be reduced significantly because less carrier locates nearby the pads and spreads uniformly in the whole epilayers. Hence, the parasitic effect could be reduced under forward bias operation[6]. In addition, due to the inserted SL, a near defect-free p-GaN epilayer can be expected. 2 Experimental

The studied LED with SL structure (denoted as device B) was grown by a Thomas Swan metal organic chemical vapor deposition (MOCVD) system on a c-plane (0001) oriented sapphire substrate. The epitaxial structures consisted of 30 nm GaN buffer layer, 2 µm- thick undoped GaN layer, 2 µm-thick Si-doped n-GaN layer (electrons concentration of 1×1018 cm−3), 12-period InGaN/GaN (5.0 nm/ 12.0 nm) MQW as active layers, followed by 10-period p-GaN/i-In0.2Ga0.8N (5.0 nm/2.5 nm) SL, and finally a 0.5 µm-thick Mg-doped p-GaN layer (noles concentration of 4×1017 cm−3). For comparison, a conventional LED (denoted as device A) is also grown with the similar epitaxial structure only without SL. Fig.1(a) shows the schematic diagrams of devices A and B.

As-grown wafers were first cleaned by acetone and deionized water sequentially. Atomic force microscopy (AFM) measurements were performed to analyze the surface morphologies of as-grown films. Then, an inductively coupled plasma (ICP) system was utilized to define mesa regions. A 250 nm-thick indium-tin-oxide (ITO) layer was deposited on the p-GaN layer by an electronic beam evaporator. Cr/Pt/Au metal was deposited as n- and p- pad Ohmic contacts. The ITO layer and n-p pads were activated for 30 min in nitrogen

Fig.1 Schematic diagrams of studied devices B with 10-period p-GaN/i-InGaN SL structure and A without SL structure: (a) Equivalent circuit model; (b) Corresponding energy band diagram of InGaN/GaN SL ambient at 470 °C and 380 °C, respectively. These wafers were diced into individual chips with 300 µm×300 µm dimension. Focused transmission TEM images of the MQW and SL layers were investigated. Current —voltage (I—φ) characteristics of the studied LED devices were measured at room temperature by a semiconductor parameter analyzer (HP 4156). The specific contact resistances of p-pad/ITO/p-GaN interface were obtained by square transmission line model (s-TLM). Light output power and electroluminescence (EL) results were extracted by a Si photopic detector integrated with a current source. Electrostatic discharge (ESD) characteristics were measured by an Electro-Tech System ESD simulator Model 910. 3 Results and discussion

The equivalent circuit model of the SL region of the studied device B is also depicted in Fig.1(a). When the device B is biased under forward voltage, the InGaN layers (with lower energy band gap) within SL can be designated as low-resistive conducting layers with many parallel resistors (Rp). The current can be injected widely through the whole InGaN layers. The GaN layers (with higher energy band gap) within SL can be regarded as series diodes (Ds) with higher turn-on voltages to block

Yi-jung LIU, et al/Progress in Natural Science: Materials International 20(2010) 70−75 72

vertical injection of carriers, until the applied voltage is high enough to turn-on these Ds. The corresponding energy band diagram of the SL layers is shown in Fig.1(b). Due to the piezoelectric field induced by GaN and In0.2Ga0.8N layers, the band bending phenomenon is observed. Holes tend to transport laterally in InGaN layers prior to the injection into GaN layers, until a higher voltage is applied. So, due to the band offset between GaN and InGaN layers, the injected carriers spread substantially widely for device B, as shown in Fig.1(a). Obviously, because of the absence of this SL structure, current injection shows narrow spreading. Therefore, as compared with the device A, the device B exhibits better current spreading ability and a reduced parasitic effect when the operation voltage is increased.

Figure 2 shows a TEM image of device B near the active regions. Distinct InGaN/GaN interfaces in MQW layers are observed. The thickness of GaN barrier layers are around 12 nm, which is thick enough to confine electron-hole pairs. Carriers transport is mainly caused by the thermionic emission. The thinner InGaN (around 5.0 nm) is a well layer to contribute the radiative recombination of carriers. Clearly, well-crystalline InGaN/GaN SL layers were grown above MQW. Comparable thickness between GaN confinement (5.0 nm) and InGaN channel (2.5 nm) layers are determined. The dominant carrier transport in SL is expected to be caused by diffusion along with the tunneling mechanisms. The former mechanism contributes a better current spreading uniformity while the latter one limits the operation voltage.

Fig.2 TEM image near MQW layers for device B

Figure 3 shows the dynamic resistances of devices A and B as a function of voltage. It can be seen from Fig.3 that the influence of p-GaN/i-InGaN SL can be clearly observed. Prior to the forward bias of 1.5 V, the device B exhibits larger resistance about two-order of magnitude, as compared with device A. In the SL

structure, the current regulation is observed at InGaN/GaN heterojunctions[13]. Carriers easily diffuse along the interface of heterojunctions, and the current- spreading effect can be observed. As the applied bias goes up to 1.5 V and below 3.0 V, a clear dynamic resistance drop for the device B is found. This phenomenon can be attributed to the existence of more carriers with significant energy which spreads uniformly among the whole SL structure when the forward voltage is increased, as mentioned above. The SL with high carriers density in the InGaN wells results in a diffusing/tunneling transportation of free carriers[16]. Carriers move not only in horizontal but also vertical. Hence, the undesired current-crowding effect can be omitted. On the other hand, the device A exhibits a moderate decrease of resistances below 2.0 V. Then a relatively drastic drop phenomenon is observed under the forward voltage above 2.0 V. Under this condition, the dynamic resistances go toward saturation and become smaller, as shown in the inset of Fig.3. From the high injection region of the inset of Fig.3, a smaller series resistance Rs of device B is clearly obtained. Experimentally, the series resistance Rs of device B is 12.1 Ω, which is smaller than that of device A (28.2 Ω). The series resistance Rs is mainly caused by the contact resistance and the effective cross-sectional area for carrier distribution[13]. Therefore, it is inferred that the lower series resistance of device B is originated from the better current spreading ability induced by the SL structure. In addition, as the device B is operated in the turn-on region (2.0−4.0 V), a relatively smaller dynamic resistance Rd is accompanied. This phenomenon is similar to a previous result[6], where a SL structure is applied to achieve a more uniform current distribution and larger light-emitting area.

Figure 4 depicts the secondary ion mass spectrometry (SIMS) profile near the SL layers for the device B. The

Fig.3 Dynamic resistances of devices A and B as function of voltage (Curves shown in inset are corresponding characteristics at higher voltage)

Yi-jung LIU, et al/Progress in Natural Science: Materials International 20(2010) 70−75 73

Fig.4 SIMS profile near MQW layers for device B Cs+ ion source is used in this work. The 0 nm depth is represented as the location of the p-GaN surface. Here, both SL and MQW layers are labeled in the dashed lines. In SL region, the Mg concentration is higher than that in the nearby regions, indicating that the doping process in GaN barrier layers is achieved. Clearly, due to the limited resolution of SIMS analysis, it is impossible to divide the 2.5 nm i-InGaN well from the 5 nm Mg-GaN barrier layers apart. On the other hand, the Mg doping concentration can still be determined to be around 4×1018 cm−3 by the SIMS data. Generally, the primary current transport by diffusion or tunneling mechanism in SL layers is decided by many factors. It is known that the hole concentration primarily determines the hole effective mass[17]. In addition, the thickness of GaN barrier layer in this work is around 5 nm, confirmed by TEM analyses in Fig.2. Both the two important factors (hole effective mass and barrier thickness), which dominantly influence the tunneling probability[18], are poorer than those obtained from the previous SL tunneling layer[7]. Furthermore, if the piezoelectric field is taken into consideration, the 20% In composition induces a higher strain (as compared with that obtained in[7]). Hole carriers are confined in a more localized region in InGaN well layers (shown in the band diagram in Fig.1(b)), resulting in a thicker barrier width. Due to these reasons, the current tunneling phenomenon is hence limited. Experimentally, Fig.3 also agrees well with the prediction. The injected current is clearly suppressed when the applied forward voltage is lower than 2.0 V. It could be attributed to the rather higher probability of current spreading than the possibility of current tunneling in the InGaN well layers. As a result, a superior current spreading performance is achieved, provided by the inserted SL layers.

Based on AFM measurements, the values of surface root-mean square roughness (Rq) of devices A and B are about 77.6 and 25.3 nm, respectively. The higher surface

roughness could be attributed to the formation of V-defects. Clearly, with the help of the inserted SL layers, the propagation of threading dislocations can be suppressed underlying the p-GaN layer, thus both improved leakage current and electrostatic discharge tolerance are anticipated. The inserted SL layer could reduce the strain-induced deformation in p-GaN layer, along with an additional improvement on the surface morphology. Moreover, it is known that, for a device, a rougher surface is usually accompanied with a poorer surface contact property[19]. Thus, a higher specific contact resistance of device A is expected which is consistent with the corresponding higher series resistance. By using an s-TLM method, the measured specific contact resistances (the p-pad/ITO/p-GaN interface) of devices A and B are 9.88×10−4 and 5.90×10−4 Ω·cm2, respectively. This is in agreement with the previous prediction.

Figure 5(a) shows I—φ characteristics of devices A and B. The turn-on voltages, under a forward operation current of 20 mA, for devices A and B are 3.32 and 3.14 V, respectively. A decreased 0.18 V of voltage drop of device B is observed. This is certainly caused by the superior current-spreading ability of device B which substantially leads to the reduction of parasitic resistance and forward voltage. Another possible reason is the smoother p-GaN surface of device B. Fig.5(b) illustrates the corresponding detailed I—φ characteristics. Clearly, the device B exhibits a substantially lower reserve-biased leakage behavior. Experimentally, the inserted SL structure considerably suppresses the propagation of dislocations. Thus, the p-GaN bulk leakage current could be reduced drastically. Furthermore, the improved surface contact properties of device B also causes a reduced surface leakage. The ideal factors of the devices A and B are 7.57 and 2.12, respectively. The improved ideality factor is comparable with that of the previous report[6]. These values are extracted from the linear region of I—φ characteristics and range from for device A and 1.5 to 2.5 for device B. As compared with the device without SL layer, the quite different ideality factor could be attributed to the great difference in material qualities of devices. The high ideality factors (n>>2.0) in GaN-based LEDs are mainly attributed to deep-level-assisted tunneling. Ideality factors close to 2.0 are caused by the reduced recombination of holes into the defect states in the p-GaN layer, which is consistent with the Sah–Noyce–Shockley hypothesis[20]. Moreover, both the poorer Ohmic contact property and current spreading ability for the device A also lead to an increased ideality factor[6, 21]. Similar results were reported by WANG et al[22]. The ESD characteristics of devices A and B are also measured and shown in Fig.5(b). Reverse pulse voltages of 1 400 V are

Yi-jung LIU, et al/Progress in Natural Science: Materials International 20(2010) 70−75 74

continuously applied to the chips for 10 times of human body mode testing. For device A, after the ESD stress, a significant increase of the reverse current is observed. As compared with original values (in the order of 10−10 to 10−7 A), much higher leakage currents (in the order of 10−7 to 10−3 A) are generated for device A. On the other hand, due to the presence of the inserted SLs, the activation of leakage paths induced by the ESD stress is suppressed for device B. The device B can endure such a high pulse voltage without significant increase in the leakage current.

Fig.5 I—φ curves of devices A and B(a) and corresponding detailed I—φ curves and ESD-induced reverse characteristics of devices A and B(b)

Figure 6 illustrates the light output power as well as external quantum efficiency (EQE) as a function of operation current. At 20 mA, the output powers for devices A and B are 10.8 and 13.6 mW, respectively. Apparently, the device B exhibits 25.4% improvement on output power. The improvement is due to the more uniform distribution of injection carriers caused by the presence of SL structure[13]. In addition, the V-defects in the p-GaN layer of device A are found to be electronic activity[8]. They form nonradiative recombination centers. Based on the help of a defect-free p-GaN layer for the device B, the reduced injection loss caused by

lower nonradiative recombination in the p-GaN layer is expected. It is also responsible for the improved output power. In addition, this improvement is enhanced at higher current region, as shown in Fig.6. For instance, at 150 mA, the output power of device B is 1.31 times higher than that of device A. For device B, the saturation point of output power occurs at about 175 mA, whereas it is 150 mA for device A. This improvement can be ascribed to the reduced joule heating nearby n-p pad regions. Generally, the injection current (Iinj) of a LED can be expressed as[23]: Iinj=qV(An+Bn2+Cn3)+Ileak (1) where q is the electronic charge and V the active region volume. A is the monomolecular recombination coefficient, which describes nonradiative recombination through traps and defects. B is the radiative or bimolecular recombination coefficient associated with radiative emission in LEDs. C is the Auger recombination coefficient. Ileak is denoted as the leakage current diffused into p- or n-cladding layers under high injection. It’s known that the nonradiative Auger recombination becomes dominant with increasing the density of injected carriers. Thus, the EQE of a LED decreases with the operation current. This is the so called efficiency drooping effect[24]. As shown in Fig.6, at 20 mA, the EQEs of devices A and B are 19.8% and 24.8%, respectively. Obviously, the device B shows 5.02% increment in EQE. This enhancement is principally caused by the uniform current spreading and reduced injection loss generated by the presence of SL structure. Furthermore, as described above, under a high injection condition (>175 mA), device A exhibits pronounced heating effect, along with Auger recombination, both of which certainly deteriorate the efficiency[24]. However, for device B, due to the reduced current crowding effect, the EQE droop is alleviated. In addition, from the Eq.(1), under a low injection level, the injection current is

Fig.6 Output power and external quantum efficiency (EQE) as

function of current

Yi-jung LIU, et al/Progress in Natural Science: Materials International 20(2010) 70−75 75

dominated by the term An which is related to nonradiative recombinations. The higher EQE of device B at a low injection level (<10 mA) can be ascribed to the smaller coefficient A induced by reduced defects in the p-GaN layer. Thus, the device B shows more pronounced radiative recombination over defect-induced nonradiative recombination, while device A does oppositely. 4 Conclusions

1) An interesting InGaN/GaN MQW LED with a 10-period i-InGaN/p-GaN (2.5 nm/5.0 nm) SL structure is fabricated and studied. As compared with a conventional LED without SL structure, the studied LED exhibits improved current spreading performance and a high-quality p-GaN layer. The turn-on voltage at 20 mA is decreased from 3.32 to 3.14 V due to the reduced contact resistance as well as the more uniformity of carriers injection. A substantially reduced leakage current for the studied device is also obtained.

2) After the ESD testing (1 400 V reverse voltage), the studied device exhibits only a small increase in leakage current, while the LED device without the SL structure shows a big increase. For the studied LED, the significant enhancement of 25.4% in output power as well as the increment of 5% in EQE are observed due to the superior current spreading ability and a better film quality produced by the presence of SL structure. In addition, these improvements are enhanced especially at a higher injection condition, based on the reduction of heat generation. Acknowledgment

Part of this work was supported by the National Science Council of China under Contract (97−2221− E−006−238−MY3). References [1] LIU Yi-jung, TSAI Tsung-yuan, YEN Chih-hung, CHEN Li-yang,

TSAI Tsung-han, HUANG Chien-chang, CHEN Tai-you, HSU Chi-hsiang, LIU Wen-chau. Performance investigation of GaN-based light-emitting diodes with tiny misorientation of sapphire substrates[J]. Optics Express, 2010, 18: 2729−2742.

[2] ZHOU L, LANFORD W, PING A T, ADESIDA I. Low resistance Ti/Pt/Au ohmic contacts to p-type GaN[J]. Appl Phys Lett, 2000, 76: 3451−3453.

[3] GUO X, SCHUBERT E F. Current crowding in GaN/InGaN light emitting diodes on insulating substrates[J]. J Appl Phys, 2001, 90: 4191−4195.

[4] KUMAKURA K, MAKIMOTO T, KOBAYASHI N. Efficient hole generation above 10(19) cm−3 in Mg-doped InGaN/GaN superlattices at room temperature[J]. Jpn J Appl Phys, 2000, 39: L195.

[5] SHEU J K, CHI G C, JOU M J. Low-operation voltage of InGaN/GaN light-emitting diodes by using a Mg-doped Al0.15Ga0.85N/GaN superlattice[J]. IEEE Electron Device Lett, 2001, 22: 160−162.

[6] JANG J S. High output power GaN-based light-emitting diodes using an electrically reverse-connected p-Schottky diode and p-InGaN-GaN superlattice[J]. Appl Phys Lett, 2008, 93: 081118.

[7] JANG J S, KIM D, SEONG T Y. Low turn-on voltage and series resistance of polarization-induced InGaN-GaN LEDs by using p-InGaN/p-GaN superlattice[J]. IEEE Photonics Technol Lett, 2006, 18: 1536−1538.

[8] CAO X A, TEETSOV J A, SHAHEDIPOUR-SANDVIK F, ARTHUR S D. Microstructural origin of leakage current in GaN/InGaN light-emitting diodes[J]. J Cryst Growth, 2004, 264: 172−177.

[9] KAWAI T, YONEZU H, OGASAWARA Y. Suppression of threading dislocation generation in highly lattice mismatched heteroepitaxies by strained short-period superlattices[J]. Appl Phys Lett, 1993, 63: 2067−2069.

[10] NAKAYAMA M, KUBOTA K, KATO H. Effects of buffer layers in GaAs-In0.2Al0.8As strained-layer superlattices[J]. Appl Phys Lett, 1986, 48: 281−283.

[11] KINOSHITA A, KIM J S, HIRAYAMA H. Curent injection emission at 333 nm from AlGaN/AlGaN multi quantum well ultraviolet light emitting diodes[J]. Phys Stat Sol, 2000, 180: 397−402.

[12] LIU J P, LIMB J B, RYOU J H, LEE W, YOO D, HORNE C A, DUPUIS R D. Characteristics of green light-emitting diodes using an InGaN:Mg/GaN:Mg superlattice as p-type hole injection and contact layers[J]. J Electron Mater, 2008, 37: 558−563.

[13] SU Y K, WANG H C, LIN C L, CHEN W B, CHEN S M. AlGaInP light emitting diode with a modulation-doped superlattice[J]. Jpn J Appl Phys, 2003, 42: L751.

[14] JANG S H, LEE C R. High-quality GaNSi(1 1 1) epitaxial layers grown with various AlGaNGaN superlattices as intermediate layer by MOCVD[J]. J Cryst Growth, 2003, 253: 64−70.

[15] ZHANG J X, QU Y, CHEN Y Z, UDDIN A, CHEN P, CHUA S J. Structural and photoluminescence study of thin GaN film grown on silicon substrate by metalorganic chemical vapor deposition[J]. Thin Solid Films, 2007, 515: 4397−4400.

[16] CHENL N C, LIN C M, YANG Y K, SHEN C, WANG T W, WU M C. Measurement of junction temperature in a nitride light-emitting diode[J]. Jpn J Appl Phys, 2008, 47: 8779−8782.

[17] SANTIC B. On the hole effective mass and the free hole statistics in Wurtzite GaN[J]. Semicond Sci Technol, 2003, 18: 219−224.

[18] RAPEDIUS K, KORSCH H J. Multi-barrier resonant tunnelling for the one-dimensional nonlinear Schrödinger Equation[J]. J Phys A: Math Theor, 2009, 42: 425301.

[19] YEN C H, LIU Y J, YU K K, LIN P L, CHEN T P, CHEN L Y, TSAI T H, LIU W C. On an AlGaInP-based light-emitting diode with an ITO direct Ohmic contact structure[J]. IEEE Electron Device Lett, 2009, 30: 359−361.

[20] SHAH J M, LI Y L, GESSMANN T H, SCHUBERT E F. Experimental analysis and theoretical model for anomalously high ideality factors (n>>2.0) in AlGaN/GaN p-n junction diodes[J]. J Appl Phys, 2003, 94: 2627−2630.

[21] ZHU D, XU J, NOEMAUN A N, KIM J K, SCHUBERT E F, CRAWFORD M H, KOLESKE D D. The origin of the high diode-ideality factors in GaInN/GaN multiple quantum well light-emitting diodes[J]. Appl Phys Lett, 2009, 94: 081113.

[22] WANG C L, TSAI M C, GONG J R, LIAO W T, LIN P Y, YEN K Y, CHANG C C, LIN H Y, HWANG S K. Influence of AlGaN/GaN superlattice inserted structure on the performance of InGaN/GaN multiple quantum well light emitting diodes[J]. Mater Sci Eng B: Solid State Mater Adv Technol, 2007, 138: 180−183.

[23] PHILLIPS A F, SWEENEY S J, ADAMS A R, THIJS P J A. The temperature dependence of 1.3- and 1.5-m compressively strained InGaAs(P) MQW semiconductor lasers[J]. IEEE J Sel Top Quantum Electron, 1999, 5: 401−412.

[24] DELANEY K T, RINKE P, Van de WALLE C G. Auger recombination rates in nitrides from first principles[J]. Appl Phys Lett, 2009, 94: 191109.