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Schematic energy diagrams for (a) LED I and (b) LED II, along with which four electron transport/transition processes are depicted in the InGaN/GaN MQWs:  electrons are captured into the quantum well,  electrons recombine with holes and at defects,  electrons re-escape from the quantum well and  electrons directly fly over to a remote position without being captured by the quantum well. 

Schematic energy diagrams for (a) LED I and (b) LED II, along with which four electron transport/transition processes are depicted in the InGaN/GaN MQWs:  electrons are captured into the quantum well,  electrons recombine with holes and at defects,  electrons re-escape from the quantum well and  electrons directly fly over to a remote position without being captured by the quantum well. 

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Electron overflow limits the quantum efficiency of InGaN/GaN light-emitting diodes. InGaN electron cooler (EC) can be inserted before growing InGaN/GaN multiple quantum wells (MQWs) to reduce electron overflow. However, detailed mechanisms of how the InGaN EC contributes to the efficiency improvement have remained unclear so far. In this work, we t...

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Context 1
... captured by the n-In 0.10 Ga 0.90 N EC layer with LO phonon emission, while the remaining electrons of N 1 directly fly over the EC layer without undergoing thermalization. The electrons of N 2 are then injected into InGaN/GaN MQW region after undergoing thermalization. Here, we correlate the quantum well captured electrons [i.e., process  in Figs. 3(a) and 3(b)] with the electron mean free path (MFP) by Eq. (1) and Eq. (2) for LEDs I and II, respectively [20]. Note that the electron loss due to processes  and  contribute to the electron overflow from the MQW ...
Context 2
... QW t is the thickness of the quantum well, MFP l is the mean free path of electrons within the InGaN/GaN MQWs without electron thermalization and cooler MFP l is the mean free path of electrons in the InGaN/GaN MQWs with electron thermalization in the n-In 0.10 Ga 0.90 N EC layer. Here, the relationship between N 0 and N 2 in Fig. 3(b) can be expressed in Eq. (3), in which we assume the mean free path of electrons in the n-GaN layer before entering the n- In 0.10 Ga 0.90 N EC layer is MFP l . It is shown that, in order to have more electrons thermalized, it is useful to properly increase the thickness of the n-In 0.10 Ga 0.90 N EC layer ( cooler t ...
Context 3
... N EC layer, compared to that in LED I. Meanwhile, the electron current distribution is also depicted in Fig. 6(b). Being consistent with Fig. 6(a), the electron leakage current into the p-type region is reduced from 26.56% to 18.86% at 20 A/cm 2 , if we compare LED II to LED I. It should be noteworthy that the thermionic emission for process  in Figs. 3(a) ...

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... The electrostatic field in the active region can be estimated using the following Eqs 3-5. 27 (3) ...
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... Most recently, DUV LEDs without p-EBL are also proven to be a potential solution strategy for favoring the hole injection if the electron injection efficiency is not sacrificed [15,16]. Besides engineering the hole injection process, research attention shall also be paid to electrons, such that electrons are difficult to be captured by the multiple quantum wells (MQWs), which is due to the large electron mobility [17]. Therefore, AlGaN quantum barriers (QBs) with the Al composition spike-structured barriers [18] and the n-Al x G 1−x N/n-Al y Ga 1−y N (x > y) electron injection layers [19] are designed to reduce the drift velocity of the free electrons for DUV LEDs. ...
... To reveal the in-depth device physics, we calculate the energy band, the carrier transport and the radiative recombination rate by using APSYS [6,14,17,19]. In our calculation models, we have taken the polarization effect at each lattice-mismatched AlGaN/(Al)GaN heterojunction into consideration by assuming the 40% polarization level [14]. ...
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... It is clearly understood that processes z and { lead to electron leakage from the active region, which is undesired and needs to be mitigated. The captured electrons (N c 0 ) in the QW of LED0 can be expressed as [20] ...
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... The light extraction efficiency for the investigated devices is set to 75% [20]. The Auger recombination with the recombination coefficient is set to 1 × 10 −31 cm 6 s −1 [21], and the Shockley-Read-Hall (SRH) recombination lifetime for carriers is set to 10 ns [22]. To accurately model the surface recombination, sidewall defects are considered, and relevant trap parameters are summarized in Table 1. ...
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... region is neglected. The captured electrons in the quantum well (Ncapture) are correlated with the electron mean free path (lMFP) as expressed in Equation (2) [31]. To better understand the role of GSQB structure in LED 3, the schematic model for transportation of electrons in LED 1 and LED 3 is depicted in Figure 6. ...
... For the simplicity of the model, electron loss through non-radiative recombination in n-Al 0.6 Ga 0.4 N region is neglected. The captured electrons in the quantum well (N capture ) are correlated with the electron mean free path (l MFP ) as expressed in Equation (2) [31]. ...
... At the same time, l MFP depends on thermal velocity (v th ) and the scattering time (τ sc ) as shown in Equation (3). For LED 1, v th can be further expressed as illustrated in Equation (4) [31]. ...
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... It is assumed that out of No electrons, N2 electrons captured by the first extra QW undergo thermalization with LO phonon emission while remaining electrons denoted as N1, directly travel over the extra QW layer without undergoing thermalization. The captured electrons in the quantum wells are correlated with the electron lMFP [19]. To increase the number of the quantum wellcaptured electrons, the electron lMFP within the InGaN/GaN MQW region must be reduced. ...
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... Specially, we adopt the very well-developed mean-free-path model when calculating the carrier transport in the active region for DUV LEDs. 23,24 When calculating the polarization induced electric field, we shall take the polarization induced charges at the polarizationmismatched interfaces into consideration. The polarization level is set to 40%. ...
... It is known that the confinement factor for each quantum well can be increased because of the increased quantum well thickness if we use the mean-free-path model to analyze electron transportation. 24 For holes, the mean-free-path model can be revised and modeled to Eqs. (1) and (2). Pi, P i+1 , tQW, and lMFP represent the captured hole density in the i th (i th > 1, note the first quantum wells is the one closest to the n-AlGaN region, according to Fig. 1) quantum well, the incoming hole density which fails to be captured by the i th + 1 quantum well, the quantum well thickness, and the mean free path, respectively. ...
... The scattering time is set to 0.0091 ps. 24,29 The holes have a heavier effective mass and lower mobility, and hence, according to the common belief, the quantum well shall be properly thinned for promoting hole injection, 30 which can also be reflected by Eq. (1), i.e., the next quantum well can capture more holes if the quantum well thickness decreases. In 0.15 Ga 0.85 N/GaN is the active region of blue LEDs. ...
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In this work, we simply take advantage of the polarization effect to efficiently improve the hole injection from the p-type electron blocking layer (p-EBL) to the end of the active region for AlGaN based deep ultraviolet light emitting diodes (DUV LEDs). By properly increasing the AlN composition of AlGaN quantum barriers, a smaller positive polarized charge density at the last quantum barrier/p-EBL interface can be obtained, which correspondingly leads to the suppressed hole depletion and the reduced hole blocking effect in the p-EBL. Meanwhile, we properly increase the quantum well thickness so that the polarized electric field can even more accelerate the holes, and this will homogenize the hole distribution more across the MQWs. Therefore, the external quantum efficiency for DUV LEDs can be enhanced.
... Besides, there are still many structure design strategies out of the active region having been adopted to improve the CIE, such as the AlGaN/GaN superlattice p-type layer, 10-13 polarization self-screening effect electron blocking layer (EBL), 14 multiquantum barrier EBL, 15 step graded-composition last quantum barrier, 16 and electron cooler in the GaN n-type layer. 17 Among those approaches, it is noted that almost all designs are aimed at improving the vertical transport of holes and localizing electrons within the active region. Actually, the low hole injection efficiency in AlGaN-based LEDs has been regarded as one of the most serious issues limiting the EQE. ...
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AlGaN-based deep-ultraviolet light emitting diodes adopting an embedded delta-AlGaN thin layer with an Al composition higher than that in conventional barriers have been investigated. The experimental result shows that when the current is below 250 mA, the maximum of the external quantum efficiency and light output power for the proposed structure reach severally 1.38% and 10.1 mW, which are enhanced significantly by 160% and 197%, respectively, compared to the conventional ones, showing a tremendous improvement. We attribute that to the inserted delta-thin layer's modulation effect on the energy band, namely, accelerating holes to cross the high barrier with very large kinetic energy, thus increasing the hole injection into the active regions. Meanwhile, the electron concentration within the active regions is enhanced as well because of the accompanying additional effect of the delta-AlGaN thin layer being an electron barrier to block electrons escaping from the active region.
... Parameters regarding the non-radiative recombinations include the Shockley-Read-Hall recombination lifetime of 10 ns and Auger recombination coefficient of 1 × 10 −30 cm 6 · s −1 [22]. The carrier transport is modeled by using the drift-diffusion equations in the non-active layers and the mean-free-path model in the MQW region [23]. The carrier transport in the MQWs is also associated with the energy band offset ratio that is set to 50/50 for AlGaN/AlGaN junctions [24]. ...
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It is well known that the p-type AlGaN electron blocking layer (p-EBL) can block hole injection for deep ultraviolet light-emitting diodes (DUV LEDs). The polarization induced electric field in the p-EBL for [0001] oriented DUV LEDs makes the holes less mobile and thus further decreases the hole injection capability. Fortunately, enhanced hole injection is doable by making holes lose less energy, and this is enabled by a specifically designed p-EBL structure that has a graded AlN composition. The proposed p-EBL can screen the polarization induced electric field in the p-EBL. As a result, holes will lose less energy after going through the proposed p-EBL, which correspondingly leads to the enhanced hole injection. Thus, an external quantum efficiency of 7.6% for the 275 nm DUV LED structure is obtained.