1 Introduction
Colloidal semiconductor nanocrystals have been extensively applied to a variety of optoelectronic devices, such as light-emitting diodes [
1,
2], lasers [
3], detectors [
4], single photon sources [
5], and photovoltaics [
6], due to their widely tunable optoelectronic properties with the size, shape, and composition [
7-
14]. The heterostructured CdSe/CdS dot-in-rods (DRs) have been considered to be one of the most promising types of nanocrystals for optoelectronic applications in the visible spectral range at room temperature [
15,
16]. The CdSe/CdS DRs are made by growing a rod-shaped CdS shell around a nearly spherical CdSe core [
17], which have many excellent properties, such as improved photoluminescence (PL) quantum yields [
18], enhanced optical gain [
19-
21], and larger two-photon absorption cross section [
22]. Moreover, the DRs have additional interesting features: linearly polarized band-edge absorption and emission. A high degree of emission polarization along the axis of the CdS rod has been observed and investigated [
23-
30]. It has been demonstrated that the linearly polarized emission in the CdSe/CdS DRs depends on the elongated shape of the CdS rods, the prolate CdSe core as well as the large core size [
26,
27]. Furthermore, the emission polarization has been confirmed to be related to the fine structure splitting of band-edge exciton, the levels ordering and the oscillator strengths of the various transitions [
23,
26,
27].
Recently, spectral diffusion in the single CdSe/CdS DRs was observed and investigated by combined experimental and theoretical analysis, which was attributed to fluctuations of the surface charges of DRs [
31-
34]. The surface charges can change the squared electron and hole wave function overlap and thereby modify the exciton emission energy of DRs [
33,
34]. The influence of surface charges on the spectral diffusion was also observed in the conventional spherical CdSe quantum dots (QDs) [
35-
38]. The possible origin of the surface charges was speculated to be from the photogenerated charges or the surface ligand layer [
33,
39]. However, the surface electrons of QDs can come from the N-type semiconductor indium tin oxide (ITO) nanoparticles by interfacial electron transfer [
40-
44]. The electrons at single QD surface from ITO could result in the spectral peak emission energies to show a red shift as large as approximately -35 meV with respect to that on glass coverslip [
40]. Besides the spectral shift, the surface electrons from ITO also modify the photon emission statistics [
42,
44], reduce the PL lifetimes and suppress the PL blinking dynamics [
41,
43]. Moreover, the surface electrons also induce a linear polarization property of single CdSe QDs at room temperature, which was attributed to the surface electrons inducing a significant Stark distortion of the electron and hole wave functions [
37,
45,
46]. In the CdSe/CdS DRs based optoelectronic devices, the surface charges of DRs always exist due to the interfacial charge transfer between the DRs and other materials [
47]. It has been of great interest to clarify the influence of surface charges on the polarization properties, however, has not been investigated yet.
Here, we investigate the influence of surface charges on the emission polarization properties of single CdSe/CdS DRs. When single DRs are covered with N-type semiconductor ITO nanoparticles, the surface of single DRs is charged by ITO through interfacial electron transfer, which is further confirmed by the reduced PL intensities and lifetimes as well as the suppressed PL blinking. The emission polarization properties of single DRs are measured by single particle polarization microscopy. Compared with that on glass coverslips, a broadened histogram of polarization degrees is observed for single DRs in ITO. We attribute the broadened behavior to the influence of surface electrons on the electron and hole wave functions of DRs. Since the polarization degrees are determined by band-edge exciton fine structure which relates to the electron and hole wave functions, we further calculate the band-edge exciton fine structure to explain the broadening behavior.
2 Results and discussion
2.1 PL properties of single DRs
Figure 1(a) presents a transmission electron microscopy (TEM) image of the CdSe/CdS DRs. The absorption and emission spectra of DRs are shown in Fig. 1(b), where the PL peak locates at ~608 nm. Schematic representation of the sample preparation for single DRs in ITO is depicted in Fig. 1(c). Detailed information about sample preparation can be found in the Methods. Briefly, the single DRs in toluene were spin-coated onto glass coverslip and then the ITO nanoparticles were spin-coated onto individual DRs. Through these processes, the individual DRs are in contact with ITO nanoparticles. The scanning electron microscope image of spin-coated ITO nanoparticles is presented in Fig. 1(d). The N-type ITO nanoparticles with a high electron density of ~2.2×10
21 cm
-3 have a higher Fermi level than that of the DRs, and thus the ITO can be utilized as an electron donor to charge for the DRs [
41,
48]. Scheme of the experimental setup for single particle polarization measurement is presented in Fig. 2(a). The experimental setup has been used to measure single-particle polarization in our previous works [
46,
49]. Details about the experimental setup and the measurement process are presented in the Methods. In order to reduce the effects of the trion states on the degrees of polarization of single DRs [
50], the pump fluence was set at
as a weak excitation condition [
44,
51], where
represents the average number of photons absorbed per DR per pulse. All measurements were performed at room temperature.
The typical PL trajectories of single DRs on glass and in ITO are recorded by the confocal microscope with an integration time of 10 ms, as presented in Fig. 2(b). The histograms of PL intensities (on level) for ~100 single DRs on glass and in ITO, as shown in Fig. S1 in the Supplementary Materials (SM), are fitted by Gauss functions with mean values and standard deviations to be
and
counts/10ms, respectively. Therefore, single DRs in ITO have a lower PL intensity than that on glass, which are similar to the previous reports for single CdSe/ZnS QDs in ITO [
41-
44]. Blinking behaviors can be found in the PL trajectories due to the activation and deactivation of surface trap states which is confirmed by linear fluorescence lifetime-intensity distribution (FLID) in Fig. S2 in SM [
52-
54]. Note that the single DRs in ITO have less PL blinking than that on glass, as will be analyzed and discussed later. A typical second-order correlation function [
] curve with a low value of
[Fig. 2(c)] indicates that the observed PL emission originates from an individual DR [
55]. A typical PL decay curve of single DRs in ITO and corresponding exponential fit are presented in Fig. 2(d). Histograms of single exciton lifetimes obtained from exponential fitting for single DRs on glass and in ITO, as shown in Fig. 3(a), are fitted by Gauss functions with average values and standard deviations to be
ns and
ns, respectively. Therefore, single DRs in ITO have a shorter lifetime than that on glass, which was attributed to exciton Auger recombination and hole transfer processes involving the additional surface electrons [
41].
We analyze the blinking dynamics of single DRs in ITO and on glass by calculating on- and off-state probability densities
and
(see SM for details). Both
and
of single QDs in the two cases show a power law distribution, as shown in Fig. 3(b). By analyzing
and
of ~100 single DRs on glass and in ITO (see SM), it can be found that single DRs in ITO have a smaller
but a larger
than that on glass, indicating increased probability densities of long on-state events and reduced probability densities of long off-state events. Therefore, the PL blinking of single DRs in ITO is suppressed due to the interfacial electron transfer from ITO to single DRs which removes the surface trap states and the valence band holes of single DRs [
41,
43]. The observation of blinking suppression of single nanocrystals was also generally used to confirm if the interfacial electron transfer occurs between nanocrystals and other materials [
56,
57]. Overall, for the single DRs in ITO, the observed decreasing of PL intensities and lifetimes as well as the suppressing of PL blinking are consistent with the results of single CdSe/ZnS QDs in ITO [
41-
44], which can further confirm the fact that the surface of single DRs is charged by ITO nanoparticles.
2.2 Polarization measurements for single DRs
The polarization measurement was performed by single particle polarization microscopy based on emission polarization analysis in the far field [
26,
46,
58]. The rotating half-wave plate combined with the polarizing beamsplitter cube was used to measure the polarization degree of single DRs. When the polarization direction of linearly polarized photons from single DRs rotates with the rotation of the half-wave plate, the polarizing beamsplitter cube splits horizontal and vertical polarized photons into two single photon detectors respectively. A typical PL intensity trajectory as a function of the half-wave plate angle is shown in Fig. 4(a). Note that when the half-wave plate rotates from 0° to 180°, the linearly polarized photons rotate from 0° to 360° and thus there are two modulation cycles for single DR’s emission. The polarization degree
p is defined by
, where
and
are the maximum and minimum photon counts of one of detectors in an emission modulation cycle.
and
can be obtained by fitting the PL intensity trajectory with the equation,
[blue curve in Fig. 4(a)] [
58], where
is the angle of the half-wave plate. Based on the fitting values of
and
, the polarization degree
p of 0.44 is obtained for the PL intensity trajectory shown in Fig. 4(a). An average background has been subtracted from the trajectory before fitting, but the fitting error always exists due to the inhomogeneity of background and PL blinking.
We have investigated more than 220 single DRs on glass and in ITO respectively, and histograms of the polarization degrees are shown in Figs. 4(b) and (c), respectively. The histograms were fitted by Gaussian functions to give average polarization degrees with standard deviations to be
(on glass) and
(in ITO), respectively. Although the average polarization degrees are approximately equal in the two cases, the full width at half maximum (FWHM) of the histogram for the single DRs in ITO (~0.41) is broader than that on glass (~0.24). It has been reported that the surface charges can strongly affect the electron–hole wave functions which relate to band-edge exciton fine structure [
26,
59], and that the band-edge exciton fine structure determines the polarization degrees of single DRs [
26]. Therefore, the broadened histogram of that in ITO is correlated with the surface electron effects.
2.3 Band-edge exciton fine structure for single DRs in the two cases
In order to further explain the broadening behavior, we investigate the influence of surface electrons on the band-edge exciton fine structure by using the theoretical approach of Refs. [
26,
59]. In CdSe nanocrystals, the band-edge exciton consists of the 1S
1/2 electron and the 1S
3/2 hole. The electron with spin of 1/2 and the hole with spin of 3/2 have 2 and 4 possible spin projections, respectively, so the band-edge exciton fine structure comprises eight states:
,
,
,
, and
[
59]. At room temperature the emission of CdSe nanocrystals is a mixture of five bright states: the
state and the degenerate
,
states. The
state emits linearly polarized photons, and it is a linear 1D dipole that oscillates along the
c-axis of the crystal. The
and
states are degeneracy 2D dipoles, which are two linear dipoles perpendicularly oscillating inside a plane perpendicular to the
c-axis of the crystal. Here the emission of the 1D dipole and the 2D dipoles is collected by a NA = 1.3 objective lens. Considering the large numerical aperture of the objective lens, the polarization degree
p is written as [
26]
where
and
are the emission probability of the 1D dipole and the 2D dipoles respectively, and
and
are correction factors to be equal to 1.0 and 0.43 which are gotten by the calculation method given in Ref. [
59] for our objective lens.
According to the theory in Ref. [
59], we calculate the emission probabilities of the 1D dipole and 2D dipoles,
and
. In the fine structure energy levels, the energy, ordering and oscillator strength depend on the electron-hole exchange interaction
η and the net-splitting Δ between the heavy-hole and light-hole valence sub-bands of the CdSe core. Therefore, the emission probability of a state can be expressed as
, where
is the population of the state at a given temperature, and
is the oscillator strength. The
and
, as functions of
η and Δ, can be calculated from Ref. [
59]. For the 1D dipole emission,
and for the 2D dipoles emission,
In addition, the polarization of single DRs also depends on the geometrical shape of CdS shell which induces a dielectric effect to enhance the oscillator strength of the 1D dipole transition [
60]. Therefore, the oscillator strength of 1D dipole transition should be multiplied by local field factors
Re [
61]. Eq. (2) can be further rewritten as
Here, we calculate the local field factors
Re according to the calculation method given in Ref. [
52]. The TEM image of CdSe/CdS DRs in Fig. 1(a) shows the aspect ratio of 5, which yields
Re of 2.4.
Using the theory of Ref. [
59], we calculated the polarization degree
p by Eq. (1) as a function of the parameters
η and Δ. The curves of polarization degrees as a function of
η and Δ is shown in Fig. 5(a). For obtaining the exact value of Δ, we firstly estimate
η by the expression
[
59], where exciton Bohr radius
Å, our CdSe core radius
Å, the bulk exchange splitting value
meV, and
.
is a size-independent dimensionless function related to electron-hole wave function overlap [
59]. Therefore,
η is estimated to be ~5.8 meV for our DRs sample. According to the value of
η and the measured polarization degrees, the net-splitting Δ can be determined by Fig. 5(a). In the figure, the red line of
meV intersects with the curves of polarization degrees, and the intersections marked with the green circles can indicate the values of Δ for various polarization degrees.
It has been reported that the surface charges can strongly decrease the overlap of electron and hole wave function [
33,
34] and that both the electron-hole exchange interaction
η and the net-splitting Δ depend on the electron-hole wave functions [
59,
62]. Therefore, the surface charges are able to change the values of
η and Δ. The changes of the parameters
η and Δ under the influence of the surface electrons were estimated in the SI. The results of estimation are marked with red stars in Fig. 5(a) which indicate the values
η and Δ as well as the corresponding values of
p. From the figure, it is found that the value of
η was reduced under the influence of the surface electrons, and the values of Δ were increased toward negative and larger values and the corresponding
p were increased for
, while the values of Δ were increased toward positive and larger values but the corresponding
p were reduced for
. For example, the values of
, 0.50 and 0.60 are increased to
, 0.54 and 0.65, while the values of
and 0.25 are reduced to
and 0.23, respectively. Therefore, both the increase and the decrease of the polarization degrees broaden the histogram from the middle to both sides.
Band-edge exciton fine structure of single DRs was deduced by taking into account the sample parameters, the emission polarization and the surface electrons. Figure 5(b) presents the band-edge exciton fine structure levels for the three typical polarization degrees of 0.39, 0.50, and 0.54 using the values of
η and Δ from Table 1. The exciton fine structures for polarization degrees of 0.39 and 0.50 were derived without considering the influence of surface electrons. When considering the influence of surface electrons, the band-edge exciton fine structure of
is changed into that of
. We can see from the figure that the change of exciton fine structure is very obvious. In Table 1, we give the exciton fine structure and emission parameters for the three polarization degrees. Note that the
state has a much smaller oscillator strength than that of the other states, it therefore makes less contribution to polarization degree. So, we mainly compare the populations and the oscillator strengths between the
and
states to understand the polarization changes. The
and
levels are highlighted in red and blue in the band-edge exciton fine structures in Fig. 5(b) and Fig. S3 in SM. As mentioned above, the
state is a linear 1D dipole to make contribution to the linear polarization, while
states are degeneracy 2D dipoles to reduce the linear polarization. By comparing the band-edge exciton fine structures of different polarization degrees in Fig. 5(b) and Fig. S3, it is found that the level ordering of
and
is different for
and
. For example, for
, the
state has a lower energy than
state [Fig. 5(b)]; for
, the
state has a higher energy than
state (Fig. S3). Actually, the level ordering is controlled by the positive and negative values of Δ, which depends on the parameters of CdSe core of DRs [
26]. For the CdSe/CdS DRs with a larger CdSe dot, the
state has a lower energy than
state [
26]. We can observe from Fig. 5(a) that
corresponds to
, and the polarization degrees tend to increase under the influence of the surface electrons;
corresponds to
, and the polarization degrees tend to decrease. Overall, the level ordering (or the positive and negative values of Δ) determines the degrees of polarization tending to increase or decrease under the influence of surface electrons.
It can be noticed from Fig. 5(b) that the polarization degrees increased from 0.39 to 0.50 is associated with the descending of level and the rising of level, and therefore the level spacing between and increases. In this case, the values of Δ are changed from -4.2 meV to -17.0 meV, and the population N of the state increases from 23.2% to 26.0%, while the population N of the state decreases from 20.3% to 14.7% (in Table 1). As a result, the emission probability of the 1D dipole increases from 57.9% to 66.5%, while the emission probability of the 2D dipoles decreases from 42.1% to 34.5% (in Table 1). Therefore, the level spacing determines the populations of the emitting states, and then controls the degrees of polarization.
Under the influence of surface electrons, the polarization degrees increased from 0.50 to 0.54 is associated with the descending of both and levels, but the level descends more than the level [Fig. 5(b)]. So, the level spacing between and increases. As a result, the population N of the state increases more than that of the state (in Table 1). Therefore, the surface electrons can increase the level spacing between and , and then change the populations of the emitting states, and thus change the degrees of polarization.
Quantitative electrostatic force microscopy measurements showed that there are 2–3 electrons on single spherical CdSe/ZnS QD (the diameter of ~6.5 nm) surface when QDs are in contact with ITO [
40]. In our simulation, ~4 electrons are considered to be on the surface of single DR, since the long CdSe/CdS rods (the length ~30 nm and the width of ~6 nm) should be able to hold more electrons on their surfaces. In addition, both the number and the distribution of surface electrons on the long CdSe/CdS rods may be random, which causes the heterogeneous influences on the degrees of polarization of single DRs, since the influence of surface electrons on the exciton properties depends on the distances between the surface electrons and the CdSe core [
33,
34]. Therefore, the broadened histogram of polarization degrees may also originate from the heterogeneous influences of surface electrons on single DRs in the experiment. In addition, as mentioned above, the size of CdSe dots in CdSe/CdS DRs controls the level ordering of band-edge exciton fine structure, and further determines the degrees of polarization tending to increase or decrease under the influence of surface electrons. For the CdSe/CdS DRs with a larger CdSe dot, the degrees of polarization would tend to increase under the influence of surface electrons due to owning a lower
state. Homogeneous CdSe dots can make the degrees of polarization of single DRs keep similar changes under the influence of surface electrons. Therefore, the larger and homogeneous CdSe dots are necessary for DRs-based practical applications to avoid the broadening of polarization degrees.
3 Conclusions
In this paper, we investigated the influence of surface charges on the emission polarization properties of single DRs by measuring the emission polarization and analyzing the band-edge exciton fine structure. The histogram of polarization degrees of single DRs in ITO was found to be broadened under the influence of surface electrons. The calculation results show that the degrees of polarization trend to increase or decrease under the influence of surface electrons, which depends on the level ordering of the and states. The surface electrons can increase the level spacing between the and states and then change their populations, and thus change the degrees of polarization. Overall, the higher degrees of polarization are further increased and the lower polarization degrees are further decreased under the influence of surface electrons, so that the histogram is broadened from the middle to both sides. In addition, different numbers of surface electrons may randomly distribute on the long CdSe/CdS rods, which leads to the heterogeneous influences on single DRs causing the broadening of polarization degrees also. A more homogeneous DR samples should be synthesized to avoid the broadening of polarization degrees in practical applications. The insight into the influence of surface charges on the emission polarization properties of single DRs as well as the band-edge exciton fine structure is important for the DRs polarization-based applications.
4 Methods
4.1 Sample preparation
The CdSe/CdS DRs were fabricated by following a published synthetic method [
63]. The length and the width of DRs are ~30 nm and ~6 nm, respectively, as determined by transmission electron microscopy (TEM) image in Fig. 1(a). The diameter of the CdSe core is ~2.9 nm. The PL quantum yield of the DRs was measured to be 43%. Schematic representation of the sample preparation for single DRs in ITO is depicted in Fig. 1(c). Single DRs in toluene (~10
-9 mol·L
-1) were spin-coated onto glass coverslip at 2000 rpm for 2 minutes, and then the ITO nanoparticles (<100 nm particle size, 30 wt.% in isopropanol, Sigma-Aldrich) were spin-coated onto individual DRs at 3000 rpm for 3 minutes. Through these processes, individual DRs are in contact with ITO nanoparticles. The samples were placed in vacuum at 315 K for 3 hours to remove the residual solvent. In addition, single DRs were prepared onto glass coverslip as a control experiment.
4.2 Single particle polarization microscopy
Scheme of the experimental setup for single particle polarization measurement is presented in Fig. 2(a). A rotating half-wave plate combined with a polarizing beam splitter was used for polarization detection in a confocal microscope. Single DRs were excited by a 485 nm picosecond pulsed diode laser (PDL808 PicoQuant), and the repetition frequency of laser was set at 5 MHz. The laser passed through a
wave-plate to form circular polarization light, and then was sent into a conventional inverted fluorescence microscope (IX71, Olympus) from its back side, reflected by a dichroic mirror (ZT488rdc, Chroma Technology Co.). An oil immersion objective lens (Olympus, 100×, 1.3 N.A.) was used to focus the laser beam onto the sample of the glass coverslip. The PL photons from single DRs were collected by the same objective lens and then passed through the dichroic mirror and an emission filter (ET500lp, Chroma Technology Co.). After that, the photons were focused onto a 100 μm pinhole for spatial filtering to reject out-of-focus photons. Two single photon detectors (PerkinElmer, SPCM-AQR-15) in a Hanbury-Brown and Twiss configuration were used to detect the PL photons. The signals from single photon detectors were recorded by a time-correlation single photon counting (TCSPC) data acquisition card (HydraHarp 400, PicoQuant) to obtain information about PL intensity trajectories,
curves and decay curves. After distinguishing single DRs by
method [
55], the PL photons were subsequently sent to the rotating achromatic broadband half-wave plate (AHWP10M-600, 400–800 nm) combined with the broadband polarizing beamsplitter cube (Thorlabs, PBS121) to measure the polarization degrees of single DRs. The polarizing beamsplitter cube divided PL photons into its two components, and two additional single photon detectors are used to detect horizontal and vertical polarization photons, respectively. A piezo-scan stage (Piezosystem jena, Tritor 200/20 SG) with an active
x–
y–
z feedback loop mounted on the inversion microscope was used to scan the DRs sample over the focus of the excitation spot. All measurements were performed at room temperature.
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