$$\rightleftharpoonup{xx}$$
$$\longleftharp{xx}$$,
$$\longrightharp{xx}$$,
Representative outcomes are presented for the Mn power series (0, 5, 10, 15 W), using the undoped film (0 W) as the control condition for structural and transport comparisons.
Crystal structure (XRD)
XRD patterns confirm that all samples retained the rhombohedral Bi2Te3 phase (JCPDS No. 15-0863) across the Mn power series, as shown in Figure 4. The dominant reflections, including a strong (015) preferred orientation, indicate that the Bi2Te3 crystal structure was preserved after Mn co-sputtering. A key indicator of Mn incorporation is the slight shift of the dominant diffraction peak toward higher 2θ values with increasing Mn input. This shift is shown in the overlaid XRD patterns in Figure 5 and summarized numerically by the (015) peak positions in Table 2. The shift toward higher 2θ values is consistent with lattice contraction and compressive strain associated with Mn-related lattice modification36,37. Peak broadening also evolved with Mn input (Table 2; Supplementary Table 1), where the crystallite size generally decreased from 14.23 nm (0 W) to 8.35 nm (15 W), consistent with reduced coherent domain size and increased ε value at higher Mn power38. Similar doping-related peak shifts, FWHM broadening, and crystallite-size reduction associated with increased ε have been reported in Mn-doped NiO and related doped oxide systems20,39.
| Parameter | 0 W | 5 W | 10 W | 15 W |
| Peak position, 2θ (°) | 27.88 | 28.026 | 28.045 | 28.282 |
| FWHM, β (°) | 0.56889 | 0.727 | 0.705 | 0.971 |
| Crystallite size, D (nm) | 14.23 | 11.17 | 11.51 | 8.35 |
| Microstrain, ε | 0.01 | 0.01271 | 0.01232 | 0.01682 |
| Dislocation density, δ (nm-2) | 0.00494 | 0.00801 | 0.00755 | 0.01434 |
| Estimated Bi₂Te₃ contribution by PDF matching (%) | 100 | 94.1 | 87.5 | 72 |
| Estimated Mn-related PDF match (%) | 0 | 5.9 β-Mn | 12.5 α-Mn | 11.1 α-Mn + 16.9 β-Mn |
| Film thickness (µm) | 0.886 | 0.722 | 1.079 | 1.195 |
Table 2: Structural parameters of Mn-doped Bi2Te3 thin films derived from XRD analysis of the dominant (015) reflection. Includes 2θ position, full width at half maximum (FWHM), crystallite size (D), microstrain (ε), dislocation density (δ), semi-quantitative Bi2Te3 contribution estimated from PDF matching, and film thickness.

Figure 4. X-ray diffraction patterns of Mn-doped Bi2Te3 thin films deposited at different Mn target powers. XRD patterns of films deposited at Mn target powers of 0, 5, 10, and 15 W, together with the standard Bi2Te3 reference pattern (ICDD PDF 00-015-0863). The dominant (015) reflection and additional indexed peaks are indicated. Please click here to view a larger version of this figure.

Figure 5. Shift of the dominant Bi2Te3 (015) diffraction peak with increasing Mn target power. Overlaid XRD patterns highlighting the Mn-dependent shift of the dominant (015) reflection toward higher 2θ values for films deposited at Mn target powers of 0, 5, 10, and 15 W. Please click here to view a larger version of this figure.
In the present films, the estimated ε increased from 0.01000 (0 W) to 0.01682 (15 W), while the δ value increased from 0.00494 to 0.01434 nm−2 (Table 2; Supplementary Table 1), supporting the interpretation that higher Mn input introduced greater lattice distortion or defect density. These structural changes may enhance phonon scattering, which can be beneficial for reducing lattice thermal conductivity, but may also increase carrier scattering and electrical resistivity, providing a plausible explanation for the non-monotonic TE response observed with increasing Mn input40.
Semi-quantitative PDF matching analysis (Table 2) indicated that Bi2Te3 remained the dominant matched phase across the 0–15 W Mn power range. The estimated Bi2Te3 contribution decreased from 100.0% (0 W) to 94.1% (5 W), 87.5% (10 W), and 72.0% (15 W), while the remaining matched contribution was associated with Mn-related reference phases, including α-Mn (PDF 00-032-0637) and β-Mn (PDF 00-033-0887). No additional prominent crystalline peaks were observed in Figure 4 within the XRD detection limits. The reported PDF match values are presented only as comparative indicators because strong preferred orientation in thin films can bias intensity-based phase estimation26 and therefore should not be interpreted as absolute phase fractions. The systematic changes observed in the XRD patterns provide structural context for the FESEM microstructural trends discussed in Figure 6.
Surface morphology and thickness (FESEM)
Surface FESEM images demonstrate clear changes in film microstructure with increasing Mn input, as shown in Figure 6. The control film (0 W) exhibits relatively larger polygonal grains with more distinct grain boundaries. At 5 W Mn input, the film surface appears more compact with finer grain features, suggesting modified nucleation and growth behavior during co-sputtering41,42. At 10 and 15 W, the films appear more densely packed with reduced intergranular gaps compared with the 0 and 5 W samples, indicating improved surface coverage and a more compact microstructure43.
Film thickness values extracted from cross-sectional measurements are summarized in Table 2. The film thickness exhibited a non-monotonic dependence on Mn target power. The undoped control film (0 W) showed a thickness of 0.886 µm, which decreased to 0.722 µm at 5 W Mn input, followed by an increase to 1.079 µm at 10 W and a maximum thickness of 1.195 µm at 15 W. This non-linear trend is plausible because changes in the co-sputtering power ratio can influence incorporation efficiency and thin-film growth kinetics, resulting in non-monotonic thickness behavior in chalcogenide thin films20.

Figure 6. FESEM micrographs of Mn-doped Bi2Te3 thin films deposited at different Mn target powers. Surface FESEM images of Mn-doped Bi2Te3 thin films deposited by RF magnetron co-sputtering at Mn target powers of (a) 0 W, (b) 5 W, (c) 10 W, and (d) 15 W. All micrographs were acquired under identical imaging conditions (100.0 k× magnification; scale bar = 100 nm) for direct morphological comparison. Please click here to view a larger version of this figure.
Composition (EDX)
Elemental composition analysis by EDX confirmed that Mn incorporation increased with increasing Mn target power, as summarized in Table 3 and Supplementary Table 2. The Mn concentration gradually increased across the deposition series, reaching the highest measured value of 0.59 at.% at 15 W. The increasing Mn trend is generally consistent with the XRD-based structural observations, although the absolute values differ because EDX and PDF matching evaluate different material characteristics. The compositional trend shown in Table 3 and Supplementary Table 2 also supports the structural and microstructural observations discussed previously. Across the 5–15 W Mn power range, the measured Mn content remained relatively modest (0.01–0.59 at.%), which is consistent with Mn incorporation occurring without obvious disruption of the rhombohedral Bi2Te3 phase observed in the XRD patterns in Figure 444.
| Mn RF power (W) | Bi
(at.%) | Te
(at.%) | Mn
(at.%) |
| 0 | 42.31 | 57.69 | 0.00 |
| 5 | 53.40 | 46.59 | 0.01 |
| 10 | 52.58 | 47.30 | 0.12 |
| 15 | 42.64 | 56.78 | 0.59 |
Table 3: Atomic composition of Mn-doped Bi2Te3 thin films determined by EDX analysis. Atomic percentages of Bi, Te, and Mn as a function of Mn target power.
Thermoelectric transport (S, ρ, and PF)
Temperature-dependent TE transport measurements demonstrate that Mn incorporation influences the S and ρ values differently, resulting in a distinct maximum in the PF. All films exhibited negative S values, confirming n-type conduction behavior, and the magnitude of S generally increased with temperature for all samples, as shown in Figure 7. The highest Seebeck coefficient magnitude was observed for the 15 W film, reaching −162.08 µV·K−1 at 523 K (Table 4; Supplementary Table 3). This enhancement is consistent with Mn-induced modifications in carrier-scattering behavior and transport mechanisms discussed in the preceding structural analyses45,46.

Figure 7. Temperature dependence of the Seebeck coefficient of Mn-doped Bi2Te3 thin films. Seebeck coefficient (S) as a function of temperature for films deposited at Mn target powers of 0, 5, 10, and 15 W. All measured S values were negative, indicating n-type conduction behavior. The largest Seebeck coefficient magnitude was observed for the 15 W film at 523 K. Please click here to view a larger version of this figure.
Temperature
(K) | Seebeck coefficient (µV/K)
S ± standard deviation (SD) |
0 W
(µV·K⁻¹) | 5 W Mn
(µV·K⁻¹) | 10 W Mn
(µV·K⁻¹) | 15 W Mn
(µV·K⁻¹) |
| 323 | −126.02 ± 1.74 | −87.80 ± 0.68 | −87.68 ± 1.80 | −90.92 ± 1.70 |
| 373 | −131.97 ± 3.51 | −93.43 ± 1.95 | −98.15 ± 5.31 | −106.42 ± 5.79 |
| 423 | −133.71 ± 5.77 | −107.76 ± 7.52 | −110.94 ± 8.55 | −132.91 ± 15.79 |
| 473 | −131.25 ± 6.01 | −127.15 ± 16.23 | −132.34 ± 22.77 | −142.69 ± 18.75 |
| 523 | −132.31 ± 7.99 | −139.98 ± 15.49 | −134.95 ± 12.80 | −162.08 ± 38.06 |
Table 4: Temperature-dependent Seebeck coefficient values of Mn-doped Bi2Te3 thin films. Seebeck coefficient values are reported as mean ± standard deviation (SD) for films deposited at different Mn target powers. Negative Seebeck coefficient values indicate n-type conduction behavior.
All films exhibited semiconducting transport behavior (Figure 8), where ρ decreased with increasing temperature47,48. Notably, the 5 W film exhibited the lowest ρ, reaching 37.02 µΩ·m at 523 K, whereas higher Mn input resulted in increased resistivity. The 15 W film showed the highest ρ value of 87.40 µΩ·m at 523 K. These results suggest that low Mn incorporation (5 W) reduced ρ most effectively, whereas further Mn addition increased resistivity, indicating that excessive Mn-related disorder offset the conductivity improvement observed at lower Mn input49. The structural evidence from XRD analysis, including peak shifting and broadening (Figure 5 and Table 2), together with the increased Mn incorporation measured by EDX (Table 3), suggests that higher Mn input introduced additional disorder and scattering centers that may reduce carrier mobility18,50. In addition, the reduced crystallite size and increased ε and δ values at higher Mn power (Table 2) are consistent with an increased density of grain boundaries and lattice defects that can intensify carrier scattering51,52. These same structural features may also enhance phonon scattering, which could be favorable for thermal transport reduction, indicating a trade-off that influences PF at higher Mn input53,54.

Figure 8. Temperature dependence of the electrical resistivity of Mn-doped Bi2Te3 thin films. Electrical resistivity (ρ) as a function of temperature for films deposited at Mn target powers of 0, 5, 10, and 15 W. The 5 W film exhibited the lowest electrical resistivity over the measured temperature range. Please click here to view a larger version of this figure.
The combined transport response is reflected in the PF behavior shown in Figure 9. The maximum PF was achieved for the 5 W film, reaching approximately 529.33 µW·m−1·K−2 at 523 K, indicating that PF enhancement in this series was primarily associated with achieving sufficiently low ρ while maintaining adequate S33. Although the 15 W film exhibited the highest magnitude of S value, the concurrent increase in ρ reduced the PF to 300.59 µW·m−1·K−2, highlighting the trade-off between thermopower and electrical transport that governs TE optimization55.

Figure 9. Temperature dependence of the power factor (PF) of Mn-doped Bi2Te3 thin films. PF as a function of temperature for films deposited at Mn target powers of 0, 5, 10, and 15 W. PF values were calculated using , where S is the Seebeck coefficient and ρ is the electrical resistivity. The 5 W film exhibited the highest PF within the measured temperature range. Please click here to view a larger version of this figure.
Together, these results demonstrate that Mn co-sputtering preserved the Bi2Te3 phase while producing Mn-input-dependent changes in structure and TE transport behavior. The highest Seebeck coefficient magnitude was observed at 15 W Mn input, whereas the maximum PF occurred at 5 W, indicating that PF enhancement in this series was more strongly associated with resistivity reduction than with Seebeck coefficient enhancement7,56.
Data Availability:
Raw data supporting the findings of this study are provided as Supplementary Tables 1–3, including: (1) XRD-derived structural calculations and crystallographic parameters, (2) normalized EDX compositional analysis and atomic percentage calculations, and (3) temperature-dependent thermoelectric transport data used for Figures 4–9 and Tables 1–4.
Supplementary Table 1. Structural parameters of Mn-doped Bi2Te3 thin films derived from X-ray diffraction (XRD) analysis of the dominant (015) reflection. The table includes the full width at half maximum (FWHM, β), diffraction peak position (2θ), Bragg angle (θ), crystallite size (D), microstrain (ε), and dislocation density (δ) calculated using the Scherrer method and related structural equations. Crystallite size was calculated using D = Kλ/[βcos θ] , where K = 0.89 and λ = 1.5406 Å. Microstrain and dislocation density were calculated using and ε = β/4tan θ and δ = 1/D2 , respectively. Please click here to download this file.
Supplementary Table 2. Normalized EDX composition analysis of Mn-doped Bi2Te3 thin films deposited at different Mn RF target powers. (A) Normalized Bi–Te–Mn weight percentage composition calculated after excluding background contributions and normalizing the elemental composition according to:

(B) Atomic percentage composition calculated from the normalized elemental weight percentages after excluding carbon (C) and oxygen (O) signals using:

where wi is the elemental weight percentage and Mi is the atomic mass of element . The measured Mn content increased progressively with increasing Mn RF power, confirming Mn incorporation across the deposition series. Please click here to download this file.
Supplementary Table 3. Temperature-dependent TE transport properties of Mn-doped Bi2Te3 thin films deposited at different Mn RF target powers. The table includes the measured Seebeck coefficient (S), electrical resistivity (ρ), and calculated PF as a function of temperature. Temperature conversion from Celsius to Kelvin was performed using:
T(K) = T(º C) + 273.15
The PF value was calculated using:

where S is the Seebeck coefficient and is the electrical resistivity. All measured Seebeck coefficients were negative, confirming n-type conduction behavior across the Mn-doped Bi2Te3 thin-film series. Please click here to download this file.