CQD layer thickness effect on charge multiplication
To investigate the prerequisites for initiating charge multiplication via electrokinetic pumping, we studied the effect of the layer thickness of the CQD. Typically, a sufficiently thick CQD layer is crucial for attaining the kinetic energy required to derive the impact ionization in CQD-based IRPDs24–27. The device architecture included zinc oxide (ZnO) as the electron-transporting layer, with indium tin oxide (ITO) and gold (Au) serving as the cathode and anode, respectively. The overall structure of our CQD-based IRPD, as revealed by cross-sectional transmission electron microscopy (TEM), was ITO (75 nm)/ZnO (30 nm)/CQD (585 nm)/Au (50 nm) (Fig. 1a). Scanning TEM energy dispersive spectroscopy (STEM–EDS) revealed distinct interfaces, indicating the successful construction of CQD-based devices without chemical degradation (Figure S1).
The activation energy for the CQD-based IRPDs was determined from the temperature-dependent dark current at various reverse bias points using the Arrhenius model (Figure S2). The device exhibited a potential barrier of approximately 0.33 eV in our devices, which hinders the charge transfer in accordance with previous studies28,29 (Fig. 1b). The potential barrier height decreased with the increase in the reverse bias in the CQD-based IRPDs. Upon reaching a reverse bias of 10 V, the activation energy transitioned from positive to negative, indicating that the internal potential assisted the transfer of conduction electrons in the CQD-based IRPDs30. When the reverse bias exceeded 14 V, a noticeable increase in the current was observed, despite the saturation of the activation energy. This suggests that in the high-reverse-bias regions (V > 14 V), a notable amount of current is generated from charge multiplication rather than merely by efficient charge transfer.
We examined how the breakdown voltage varied with the device temperature to identify the origin of charge multiplication in CQD-based IRPDs with varying CQD thicknesses (Figure S3 and Fig. 1c)31. All the CQD-based IRPDs exhibited a significant increase in the current when operating in high-reverse-bias regions exceeding 10 V. Figure 1c shows that the CQD-based IRPDs with CQD thicknesses of 360 and 495 nm have a negative correlation between the breakdown voltage and temperature, suggesting that increased thermal energy facilitates the tunneling of valence electrons, leading to an increased current32. In contrast, the 585 nm-thick CQD-based IRPD exhibited a positive correlation (Fig. 1c). This implies that increased thermal energy contributes to the vibrational excitation of valence electrons within the CQD layer, which in turn hinders electron acceleration by inducing collisions with the conduction electrons33. As a result, a higher reverse bias is necessary to induce charge multiplication when the temperature rises because electrons must gain kinetic energy exceeding the bandgap before colliding with the adjacent valence electrons within the CQD layer9,34. This positive correlation confirms that the increase in the current, observed in Fig. 1b, originates from kinetically pumped charge multiplication rather than electron tunneling.
To gain a deeper understanding of the charge multiplication behavior in CQD-based IRPDs, we established a 2D numerical model using Silvaco Atlas (Fig. 1d, Figure S4-6, and Supplementary Note 1). The Poole–Frenkel mobility model and Selberherr’s impact ionization model were employed to identify the charge multiplication in CQD-based devices35,36. The material parameters were derived from experimental measurements and previous literature (Figure S4-5 and Table S1). With a reverse bias exceeding 24 V, impact ionization was observed to occur across a wide region of the CQD layer (≈ 585 nm) (Figure S6a). The rate of impact ionization increases as the electrons approach the ZnO layer, implying that the electrons gain kinetic energy as they traverse the devices. An increase in the impact ionization rate was also observed with increasing reverse bias. This trend was particularly pronounced when the reverse bias reached 26.8 V, at which point a marked increase in the impact ionization rate was observed (dotted line, Figure S6a). Figure S6b shows that at reverse biases exceeding 28 V, electron tunneling can be observed at the CQD–ZnO interfaces, indicating that tunneling electrons can contribute to current generation under high-reverse-bias conditions.
Next, we calculated the contribution of impact ionization to the current generation by considering both the applied reverse bias and CQD thicknesses in the CQD-based IRPDs (Fig. 1d). The breakdown voltages for both impact ionization (VBR, A) and tunneling (VBR, T) were extracted from Figure S7, which shows the calculated current densities for electron tunneling at the ZnO–CQD interfaces and the kinetically pumped charge multiplication within the CQD layer in the CQD-based IRPD with varying CQD thicknesses. The region where neither electron tunneling nor charge multiplication occurred was identified and defined as the neutral region (gray area in Fig. 1d). In CQD-based IRPDs with a CQD thickness of 200 nm, electron tunneling initiated a voltage of 5.7 V prior to the onset of impact ionization at the ZnO–CQD interfaces. This led to a dominant current contribution (≥ 97%) from electron tunneling, while a limited amplification contribution (≤ 5%) was observed even when the reverse bias increased beyond VBR, A (23.2 V) in the CQD-based IRPDs. Upon further applying a reverse bias exceeding 27.2 V, the amplification contribution surpassed 50%, indicating that impact ionization became the dominant factor in the current generation. However, an excessively high current increases the device temperature, causing degradation and potential loss of functionality in our CQD-based IRPDs under such high-bias conditions. Hence, this region was designated as the impractical region (red hatch area in Fig. 1d). We also observed a transition in the dominant mechanism of current generation in the thicker CQD layers. Upon reaching a CQD thickness of 540 nm in the CQD-based IRPDs, kinetically pumped charge multiplication became the primary contributor before the onset of electron tunneling (i.e., VBR, A < VBR, T). As the CQD thickness was further increased beyond 585 nm in CQD-based IRPDs, an amplification contribution of approximately 75% was observed at VBR, A. When the applied reverse bias exceeded VBR, A by 1.2 V (i.e., 30 V), the amplification contribution accounted for more than 90%. We further noted a minor contribution to the current from charge multiplication at voltages even below VBR, A. However, this region was designated as the low-multiplication region (light gray area in Fig. 1d) because of its negligible current contribution, particularly when compared with the current observed at voltages exceeding VBR, A.
Figures 1e–f schematically illustrate the effect of the CQD layer thickness on the current generation mechanisms. In the low-reverse-bias regions below VBR, the current in the CQD-based IRPDs was generated solely through photon absorption. When VBR was exceeded, a narrow energy band at the CQD/ZnO interface prompted the tunneling of the valence electrons within the CQD layer, leading to a substantial increase in the current in the CQD-based IRPDs with a thin CQD layer, specifically in those with thicknesses less than 540 nm (Fig. 1e). However, this tunneling current served as dark current noise because it was generated independently of photon absorption. In contrast, for the CQD-based IRPDs with a thick CQD layer exceeding 540 nm, the photogenerated electrons were kinetically accelerated as they traversed the CQD layer under a reverse bias above VBR (Fig. 1f). When these free electrons gain kinetic energy, they collide with other valence electrons within the CQD layer, inducing a transition from the valence to conduction bands and, as a result, a substantial increase in the current. Given that this current is generated by the multiplication of photogenerated electrons, it can enhance the signal amplitude in CQD-based IRPDs.
Characterization of the distances between CQD nanoparticles
We examined CQD solids treated with four types of thiol ligands with different carbon chain lengths to demonstrate the relationship between the dot-to-dot distance (dDtoD) and charge carrier dynamics. The thiol ligands used were 1,2-ethanedithiol (EthaneDT), 1,3-propanedithiol (PropaneDT), 1,5-pentanedithiol (PentaneDT), and 1,8-octanedithiol (OctaneDT). High-resolution transmission electron microscopy (HRTEM) was employed to identify the effects of thiol treatment on CQD aggregation. The lattice parameter of the CQD was consistently observed to be 3.0 Å, corresponding to the (200) plane of the CQD structure37. This implies that all the CQD films were successfully exchanged from native organic ligands to thiol ligands without undesirable CQD fusion (Fig. 2a, left).
The nanocrystalline superlattice (SL) structure was characterized using grazed-incidence small-angle X-ray scattering (GISAXS) (Fig. 2b). The OctaneDT-treated CQD film exhibited a broad scattering spectrum, indicating the construction of a relatively amorphous stacking structure compared with the other thiol ligands. In the thiol-treated CQD solids, a reduction in the length of the ligands led to a more pronounced (200)SL peak relative to the (111)SL peak. This suggests that more compact structures were formed with the transformation from a body-centered cubic (BCC) structure to a face-centered cubic (FCC) structure38,39.
The average dDtoDs of the CQD films treated with different thiol ligands were extracted from the azimuthal integration of the diffraction pattern (Fig. 2c)40. The CQD solids treated with EthaneDT exhibited the most compact arrangement, with a dDtoD of 3.86 nm. A small increase (approximately 0.2 nm) in dDtoD was observed in the CQD solids treated with PropaneDT with three carbon chains. When the carbon chain length of the thiol ligands was extended to 8 in the case of the OctaneDT-treated CQD solids, dDtoD increased significantly to 5.48 nm.
X-ray photoelectron spectroscopy (XPS) measurements were conducted to analyze the elemental composition of the CQD films depending on the thiol ligands (Fig. 2d and Figure S8). The presence of a thiol peak (163.70 eV) could be observed in the spectra of all the CQD films, confirming the successful replacement with thiol ligands (Figure S8a). Single carbon bonding at 284.5 eV also became more pronounced in the CQD films with the increase in the carbon chain length of the thiol ligands (Fig. 2d, left). Moreover, surface treatments with longer thiol ligands increased Pb-O peaks (143.2 eV and 138.5 eV) (Fig. 2d right and Figure S8b). These peaks can be attributed to the oxidation of dangling bonds on the CQD surface41, suggesting an increase in the number of dangling bonds in the CQD solids treated with longer thiol ligands (Supplementary Note 2). Table S2 shows that longer thiol ligands tend to have poor coverage on the CQD surfaces, possibly because of the increased steric hindrance during surface treatment42,43.
Ultraviolet photoelectron spectroscopy (UPS) was used to evaluate the energy levels of the thiol-treated CQD solids (Figure S4b and Fig. 2e). Across all the thiol-treated CQD films, consistent conduction and valence band positions were observed. Nonetheless, variations in the Fermi level (EF) within the bandgap of CQD solids were found to depend on the ligand chain length. Specifically, the CQD solids treated with EthaneDT exhibited a p-type behavior, with the Fermi level located below the midpoint of the band gap. Elongation of the carbon chain of the thiol ligands led to a shift in the EF position toward the conduction band. This EF shift in the CQD films could be influenced by the reduced coverage with longer ligands44. Moreover, it has been previously reported that the dipole moment at the CQD–ligand interfaces increased with the elongation of thiol ligand chains in CQD films45,46, potentially facilitating electron creation, thereby inducing an EF shift toward the conduction band47.
Next, we revealed the charge transfer characteristics with varying dDtoDs using a photoluminescence (PL) spectroscopy analysis of our complete device structures (Fig. 2f). A longer dDtoDs leads to an increase in the PL spectra of the CQD-based IRPD. When dDtoDs reached 5.48 nm (i.e., OctaneDT), a more than 225-fold increase in the PL intensity was observed compared with the EthaneDT-treated device. The observed PL quenching in CQD solids with shorter dDtoDs suggests superior charge-transport capabilities within the CQD layer.
To further clarify the interplay between charge multiplication and dDtoDs, we conducted operando PL measurements on our CQD-based IRPD under varying reverse biases with a 785 nm pump wavelength prior to the irreversible breakdown of the devices (Fig. 2g and Figure S9). The normalized PL intensity (Inorm) was determined by dividing the peak PL intensity at each reverse bias by the corresponding value at 0 V. Peak PL intensities were observed at 992, 968, 962, and 970 nm for the EthaneDT-, PropaneDT-, PentaneDT-, and OctaneDT-treated devices, respectively. Inorm exhibited an initial decline with increasing reverse bias in all the CQD-based IRPDs, indicating that the applied electric field facilitates charge extraction in the CQD layer. Moreover, a marked increase in Inorm was observed when the reverse bias exceeded specific critical thresholds: 17 V for EthaneDT, 19.5 V for PropaneDT, 23.5 V for PentaneDT, and 40 V for OctaneDT. We hypothesized that the increase in Inorm is attributable to the initiation of charge multiplication mechanisms coupled with inferior charge transport properties, culminating in elevated rates of radiative recombination under these conditions. Therefore, this increase appears to be more pronounced with increasing dDtoDs within the CQD-based IRPD. For example, a notable increase in Inorm of 180% was recorded for the OctaneDT-treated device.
Theoretical calculations for CQD nanoparticles depending on dot-to-dot distances
We developed density functional theory (DFT) models based on the results obtained from the characterization of CQD solids with different dDtoDs values to understand the charge transport and multiplication dynamics among CQD particles (Fig. 3a and Supplementary Note 3). For this purpose, we utilized CQDs with a diameter of 2.1 nm, as confirmed through TEM and UV–Vis measurements (Figs. 2a and 2e). All the thiol-treated CQD particles exhibited the density of state characteristics of semiconductors devoid of mid-gap states (Figure S10). The threshold energy (Eth) was calculated to elucidate the impact ionization process in each thiol-treated CQD (Fig. 3b and supplementary Note 4)48. Upon photon absorption in CQD particles, Frenkel pairs ([IPb−VPb]0) are created in CQDs, and some of these Frenkel pairs can dissociate into mobile charged defects, including the vacancy ([VPb]+1) or interstitial ([IPb]−1). When a strong electric field was applied across the CQD particles, the charged defects gained an electrokinetic energy by traversing the CQD particles. The mobile [IPb]−1 can collide with [IPb−VPb]0, representing the first stage (Stage I). If these charged defects gain energy above Eth and collide with the neighboring CQD particles, intermediate states ([IPb − VPb − IPb]−1) are formed (Stage II). These intermediated states then dissociate into one [VPb]+1 and two [IPb] −1 (Stage III) in pursuit of lower energy states, which are energetically more stable. The multiplication of these [IPb]−1 defects resulted in the creation of additional electron–hole pairs through integration with [IPb−VPb]0 (Stage I). A reduction in Eth was also observed with increasing dDtoDs (Fig. 3c). This suggests that lower work functions, indicative of strong dipole moments in CQD solids with greater dDtoDs, facilitate electron migration at the CQD–ligand interfaces (Figure S11 and Fig. 2e). This led to elevated solid-state reactions in regions adjacent to the charged defects, thereby triggering impact ionization at lower energy thresholds. Specifically, the Eth values were found to be 437, 224, and 189 meV for EthaneDT (3.86 nm), PropaneDT (4.06 nm), and PentaneDT (4.30 nm), respectively.
A charge density analysis revealed a significant accumulation of charge carriers at the CQD–ligand interfaces in all the thiol-treated CQDs (Figure S12). It was also confirmed that a shorter dDtoD tended to increase the charge densities within the CQDs owing to the reduced electrokinetic energy required for electrons to migrate toward adjacent CQDs (Figure S13)49. This suggests that regions with an elevated carrier concentration are spatially expanded on the CQD surfaces with shorter dDtoDs values. These regions could serve as Auger recombination spots, in which the accelerated electrons consume energy and create phonons, thereby increasing Eth and reducing the charge multiplication factor in CQDs with shorter dDtoDs values (Fig. 3d and Supplementary Note 5)50.
However, an increase in dDtoDs presents a challenge for the efficient charge transfer between neighboring CQDs. Specifically, an increased dDtoD can facilitate radiative recombination before the accelerated electrons collide with the neighboring CQD particles (Fig. 2f). We calculated the hopping probabilities of CQDs with varied dDtoDs values using a 1D multi-potential well model in COMSOL Multiphysics (Figure S13). We adjusted the width of the well to identify the impact of dDtoDs on the CQDs, while the other parameters were obtained from DFT calculations (Supplementary Note 5 and Table S3). With increasing dDtoDs, the hopping probability of the CQD particles decreased. This suggests that extended distances between neighboring CQDs can impede charge transfer, subsequently triggering radiative recombination.
We evaluated the current densities of the CQD-based IRPDs to analyze the effects of electron hopping and charge multiplication on infrared detection, depending on dDtoDs within CQDs (Fig. 3e and Supplementary Note 5). EthaneDT-treated devices, with the shortest dDtoDs of approximately 3.86 nm, exhibited a current density exceeding 100 mA/cm2 under IR illumination (with a wavelength of 940 nm and a power of 24 µW). When dDtoDs was increased to 4.06 nm (as in the PropaneDT-treated devices), the current density increased remarkably to 300 mA/cm2. However, as the distance extended to 4.30 nm (as in the PentaneDT-treated devices), we noted a significant reduction in the current density (< 100 mA/cm2). The experimental results further validated the observed correlation between dDtoDs and current density (Figure S14). The data suggest an optimal range of dDtoDs that maximizes the current density while balancing the competing effects of charge multiplication, electron hopping, and recombination mechanisms.
Figure 3f schematically illustrates the effect of dDtoDs resulting from the use of various ligands on the dynamics of charge transport and multiplication among the CQD particles. A shorter dDtoD facilitated the rapid migration of the photogenerated electrons toward the neighboring CQDs (Fig. 3f, left). This also implies that the high rates of electron hopping increased the carrier densities and expanded the accumulated regions at the CQD–ligand interfaces (Figure S12). This led to an increase in phonon generation (i.e., Auger recombination) when the electrons passed through the accumulated regions in the thiol-treated CQD films. Because accelerated electrons dissipated their energy via phonon generation during the migration between adjacent CQDs, further acceleration was required to gain sufficient electrokinetic energy, thus requiring a higher Eth to trigger charge multiplication. On the other hand, as the neighboring CQDs moved further apart, the reduced rates of electron hopping suppressed the formation of Auger recombination spots, leading to a reduction in the thermalization loss in the CQDs (Fig. 3f, right). However, an increase in dDtoD was accompanied by a reduction in the electron-hopping probability within the CQD-based IRPDs, increasing the radiative recombination (Fig. 2f).
Representative performance characterization of CQD-based IRPDs
Transient photocurrent (TPC) measurements revealed the beneficial impact of shorter distances between neighboring CQDs on charge transport within the CQD-based IRPD (Fig. 4a). The EthaneDT-treated device achieved a rising time (τr) of 0.85 µs, highlighting their enhanced charge extraction kinetics. Conversely, an increase in dDtoDs between adjacent CQDs was observed to adversely increase τr, thereby undermining the charge transport capabilities of CQD-based IRPDs. Devices treated with PropaneDT, characterized by a mere 0.2 nm increase in dDtoD relative to the EthaneDT-treated devices, exhibited a marginal increase in τr to 1 µs, indicating an inferior charge extraction efficiency. More interestingly, OctaneDT-treated devices with extended dDtoDs of 5.48 nm exhibited a significant increase in τr exceeding 70-fold compared with the EthaneDT-treated devices. This suggests that the elongated dDtoDs impede electron hopping between neighboring CQDs, resulting in decreased carrier mobility along with intensified PL emissions (Fig. 2f, Figure S4b, and Fig. 4b). The highest carrier mobility of 3.33×10− 2 cm2/V⋅s was achieved when dDtoD was minimized (i.e., EthaneDT) in CQD-based IRPDs among thiol-treated CQD devices. These findings underscore the intricate interdependency between dDtoDs transitions and the diverse parameters that influence charge transport and recombination processes in these optoelectronic devices.
Under low-reverse-bias conditions (2 V), the optimization of the charge transport property in CQD-based IRPDs can help significantly reduce the noise current and improve the detectivity of CQD-based IRPDs without induced charge multiplication. As a result, EthaneDT-treated devices achieved a low noise current of 3 nA and an outstanding detectivity of 1.1×1013 Jones at 2 V. Conversely, longer dDtoD caused a degradation in these key performance metrics. Specifically, OctaneDT-treated devices with extended dDtoDs of 5.48 nm demonstrated a drastic reduction in the carrier mobility (1.01×10− 5 cm2/V⋅s), leading to a lower operation speed and a reduced bandwidth of 20 kHz. Such changes in the device characteristics can increase the noise current to 2.06 µA51. This interplay resulted in a substantially compromised detectivity of 7.51×106 Jones, which represents a six-order-of-magnitude decline relative to the EthaneDT-treated counterparts. These findings suggest that electron-hopping characteristics predominate as the main factor influencing the detectivity. Therefore, it is deduced that shorter dDtoDs values between adjacent CQDs are advantageous for realizing superior detectivity in the absence of charge multiplication in CQD-based IRPDs.
Next, upon applying a reverse bias exceeding the breakdown voltage, we found that charge multiplication emerged as another prominent determinant of the detectivity across various CQD-based devices (Fig. 4c). The breakdown voltages in the current density–voltage curves and the critical thresholds in the operando PL spectra coincided with those of the CQD-based IRPDs (Table 1). Although short dDtoDs between adjacent CQDs facilitate charge transport and detectivity, overreduction in these short dDtoDs can bring additional challenges. Specifically, exceedingly short dDtoDs values can facilitate thermal relaxation, thereby amplifying the Auger recombination under a high reverse bias. This increased Auger recombination causes a reduction in the current density in the high-reverse-bias region (> 15 V), consequently leading to a low multiplication gain (gain ≈ 14) and detectivity (5.6×1013 Jones) in the EthaneDT-treated devices (Figure S14).
Table 1
Comparative analysis of the threshold voltages derived from operando PL spectra (Fig. 2g) and breakdown voltages derived from the current density–voltage curves (Figure S13) in CQD-based IRPDs treated with EthaneDT, PropaneDT, PentaneDT, and OctaneDT.
|
EthaneDT
|
PropaneDT
|
PentaneDT
|
OctaneDT
|
Threshold voltage [V]
|
13
|
21
|
24.5
|
38.5
|
Breakdown voltage [V]
|
12.7
|
21.3
|
25.2
|
38
|
With the increase in dDtoDs, the observed reduction in the photocurrent is mitigated, thereby allowing for an enhanced multiplication gain in CQD-based devices under the application of a reverse bias exceeding 24 V. This facilitated the acquisition of greater kinetic energy by the photoelectrons, thereby achieving a high multiplication gain of 85 in the PropaneDT-treated devices. However, when dDtoDs exceeded 4.06 nm, the inferior electron hopping characteristics led to the quenching of accelerated electrons via radiative recombination before electron collision, as illustrated in Figs. 2f and S9. This limitation implies that only a limited number of accelerated electrons contribute to the charge multiplication process, leading to a lower multiplication gain and detectivity in the PentaneDT- and OctaneDT-treated devices than in the PropaneDT-treated devices. Consequently, a representative detectivity of 1.4×1014 Jones could be achieved in the PropaneDT-treated devices (Fig. 4d). Furthermore, our CQD-based devices exhibited a substantial linear dynamic range of 124 dB, indicating efficient operation at light intensities ranging from 10 µW to 300 mW (Fig. 4e). The CQD-based devices also demonstrated a high-speed performance across a broad frequency spectrum ranging from 10 to 200 kHz (Fig. 4f).