A Science Mapping Analysis of Computational Methods and Exploration of Electrical Transport Studies in Solar Cells
Highlights
- This study identifies the leading contributors, collaboration networks, and emerging research directions.
- The most important keywords in the field of solar cells are identified.
- Band gap engineering is necessary for optimal device performance.
- This study found a structured framework for identifying research trends and knowledge gaps.
- It highlights the need for careful calibration of the charge transport interface.
- It reveals modeling gaps and proposes multiphysics strategies and 3D models.
Abstract
1. Introduction
2. Materials and Methods
2.1. Step 1: Definition of the Research Questions
- Is the “Numerical modelling” relevant in the field of photovoltaics?
- What is the co-authorship pattern?
- How are the previous works distributed geographically and organizationally?
- What are the keyword co-occurrences in the complete dataset?
- What are the most relevant keywords across existing studies?
2.2. Step 2: Data Collection
- Data related to “numerical modelling of solar cells” was searched in all fields without using any keyword, and a total of 3259 results appeared. This dataset corresponds to the Section 1 of this paper that is dedicated to answering the imposed research questions using VOS viewer software.
- The “numerical modelling of electrical transport of light in solar cells” was analyzed with the keyword “perovskite”, which gives results for thirty publications.
- One paper published before 2020 was excluded for having fewer than 5 citations, and there were twenty-nine papers left.
- The remaining papers were kept to analyze the “electrical transport properties” of perovskite solar cells and correspond to the second part of this paper.
3. General Analysis of the 3259 Publications Considered in the Study
3.1. Is the “Numerical Modelling” Relevant in the Field of Photovoltaics?
3.2. What Is the Co-Authorship Pattern?
- The authors with initials were replaced by the full names of the authors.
- The authors containing initials in both records were modified by adding a full stop at the end of their initials.
3.3. How Are the Previous Works Distributed Geographically and Organizationally?
3.3.1. Geographical Distribution
3.3.2. Organizational Analysis
3.4. What Are the Keyword Co-Occurrences in the Complete Dataset?
- The keyword was replaced by its plural form. For example, solar cell was replaced by solar cells.
- Formatting styles were changed; for example, thin-film was replaced by thin film.
3.5. What Are the Most Relevant Keywords Across Existing Studies?
4. Sub-Analysis for the Investigation of Electric Transport Properties of Solar Cells
4.1. Definition of Research Questions
- RQ1: How does absorber layer thickness affect light absorption and device efficiency in solar cells?
- RQ2: What impact do different ETL/HTL materials have on performance?
- RQ3: How do light intensity and illumination conditions influence carrier dynamics and photovoltaic efficiency?
4.2. Study Steps
- We started with the “web of science” database for comprehensive coverage and searched for published results for “numerical modelling of electrical transport of light in solar cells” (all fields) in October 2024 with a time window of 2014–2024 using the keyword perovskite in all fields.
- Thirty publications appear in total because of the search.
- We omitted the papers with fewer than five citations published before 2020 because they might have less impact. One paper was omitted, and twenty-nine papers were left that are deeply analyzed in Section 3.2.
- By looking at the title, abstract, and keywords of twenty-nine papers, all twenty-nine papers were selected that refer to the modeling of perovskite solar cells.
- One article is currently in the “Article in Press” stage and is not the final “Version of record” and is not included in the analysis [27].
- The remaining 28 papers are deeply analyzed in terms of the effect of light on the electric transport properties of perovskite solar cells.
- In this section, we have stressed the limited literature that appears in the search area related to the electrical behavior at electrodes or the interface.
4.3. Deep Analysis of 28 Papers Considered in the Study
4.3.1. Results for RQ1: Effect of Absorber Thickness on Light Absorption and Photovoltaic Efficiency
- Optimal absorber thickness in single-junction perovskites is typically 400–600 nm.
- Indoor and wide-bandgap absorbers benefit from thicker layers of ~0.8 µm.
- Tandem and bilayer designs require asymmetric or multiple absorbers with thicknesses of ~0.2–1.2 µm for current matching.
- Optical/light-trapping approaches reduce the required thickness by enhancing absorption in thinner films.
| Ref | Device Structure | Thickness Range | Optimum Thickness | Maximum PCE Achieved (Theoretically) |
|---|---|---|---|---|
| [37] | FTO/TiO2/Cs3Sb2ClxI9−x/poly-TPD/Au | 0.05–2 µm | 0.8 µm | PCE ~19% (45% optimized) |
| [41] | ITO/TiO2/Cs2BiAgI6 + CIGS/NiO/Au | 0.2–1.6 µm | 1 µm | PCE ~36.36% |
| [40] | ITO/TiO2/Cs2AgBiI6/Fa0.75Cs0.25SnI3/CuSCN/Ag | 0.2–1.4 µm | 0.8 + 0.6 µm bilayer | PCE ~34.01% |
| [39] | All-perovskite tandem (2T) Cs0.05FA0.8MA0.15PbI2.55Br0.45 (top cell) (FASnI3)0.6(MAPbI3)0.4 | 300–2000 nm (bottom cell) No range reported (top cell) | 800 nm (bottom cell) 401 nm (top cell) | PCE ~32–34% |
| [24] | ITO/C60/MAPb (I, Cl)3 or MASnI3/Spiro-OMETAD/Au (single and graded double absorber) | 0.2–1 µm | 1 µm | Double: ~33.53% Single (MAPb (I, Cl)): 26.75% |
| [38] | Tandem: FA-Cs-Pb(I,Br)3 (top) + FA-MA-Pb-Sn-I3 (bottom) | Top: 0.1–1 µm; bottom: 0.1–1 µm | 195 nm (top) + 1.2 µm (bottom) tandem | PCE ~31.55% tandem |
| [42] | FTO/TiO2/MAPbI3/Spiro-OMETAD/Au tandem (MAPbI3 + MASnPbI3), nanophotonic contacts | 150–450 nm 150–300 nm (top cell) 400–1000 nm (bottom cell) | Single: 450 nm; tandem: 200–220 nm top + 800 nm bottom | 31% (tandem), 23.3% (single) |
| [36] | FTO/TiO2/RbGeI3/HTL/Ag | 200–600 nm | 200–400 nm | PCE ~18% (29.71% with passivation) |
| [35] | TCO/CNT/MASnI3/Cu2O | 0.1–1 µm | 1 µm | PCE ~25.31% |
| [30] | FTO/TiO2/IL1/Cs2BiCuI6/IL2/Spiro-OMeTAD/Au | 100–1000 nm | 600 nm | PCE ~24.8% |
| [32] | FTO/CdS/FAMASnGeI3/NiO/Ag | 100–500 nm | 400 nm | PCE ~22.69% |
| [14] | ITO/CdZnS/CH3NH3Pb(I,Br)3/Spiro-OMeTAD/Au | 100–1000 nm | 600 nm | PCE ~25.20% |
| [31] | FTO/NiO/MAPbI3 or MASnI3/ZnO/Ag | 50–500 nm | 400 nm | PCE ~24.94% (MAPbI3), 27.97% (MASnI3) |
| [33] | Glass/ITO/PEDOT:PSS/FASnI3/C60/Ag | ~125–1000 nm | 400 nm | PCE ~17.33% |
| [34] | ITO/PCBM/MASnI3/PEDOT:PSS | 50–550 nm | 550 nm | PCE ~5.42% |
| Non-perovskite-based absorber material | ||||
| [28] | ITO/NiOx/BiOI/ZnO/Cr/Ag | 0.1–2.0 µm | ~1.4 µm | ~12.3% (low defect), up to ~40% under WLED |
| [29] | FTO/SnO2/ZnOS/Sb2S3/Spiro-OMeTAD/Au | 0.1–2.4 µm | 0.25–0.35 µm indoor; ~1.5–2.0 µm ideal | PCE 22–25% (indoor) and 43–46% (ideal) |
4.3.2. Results for RQ2: Impact of Different ETL/HTL Materials on Performance
| Ref | ETL | HTL | Theoretical PCE |
|---|---|---|---|
| [37] | ZnO0.25S0.75 > TiO2 | Cu2O > poly-TPD | 45.1% (ideal indoor), 38.7% (practical indoor) |
| [41] | TiO2 > ZnO, SnO2, WS2, C60, Gr-TiO2 | NiO > Spiro, PTAA, PEDOT:PSS, Cu2O, etc. | 36.36% |
| [40] | TiO2 > C60, PCBM, CeO2, IGZO, WS2, ZnO | CuSCN > Spiro, PEDOT:PSS, CuI, Cu2O, etc. | 33.45% |
| [38] | MZO > C60, TiO2, SnS2, CdS, IGZO, PCBM, SnO2, STO, WS2, ZnO | NiO (top-cell), Zn2P3 (bottom cell) > CBTS, Cu2O, CuI, CuO, V2O5, CuSbS2, P3HT, PEDOT:PSS, Sb2S3, Spiro-OMeTAD, SrCu2O2 | 31.55% |
| [32] | CdS > TiO2, SnO2 | NiO > Spiro/PEDOT:PSS | 30.05% |
| [31] | ZnO (baseline) | NiO > Spiro | 27.97% (MASnI3), 24.94% (MAPbI3) |
| [35] | CNT > TiO2 | Cu2O > Spiro | 25.31% (28% defect-free) |
| [14] | CdZnS > TiO2, ZnO, SnO2, etc. | Spiro-OMeTAD (optimized doping) | 25.20% |
| [43] | CdS > TiO2 | Cu2O > Spiro/PEDOT:PSS | 25.02% (26.28% low defects) |
| [44] | TiO2 (baseline) | CZTS > Spiro, PEDOT:PSS, PTAA, P3HT | 22.7% |
| [36] | TiO2 | CuI > Cu2O > CuSCN > Spiro-OMeTAD | 18.10% (CuI) |
| [45] | TiO2 (baseline) | Spiro + p-Si NPs > Spiro | 18.7% (experimental) |
| [34] | PCBM > TiO2, MZO, C60 | Cu2O > PEDOT:PSS | 13.71% (11.5% baseline) |
| Non-perovskite-based absorber material | |||
| [29] | SnO2/ZnOS > CdS, SnO2 | Spiro-OMeTAD | 26.52% (ideal), 21.0% (LED), 11.9% (AM1.5G) |
4.3.3. Results for RQ3: Influence of Light Intensity and Illumination Conditions on Carrier Dynamics and Photovoltaic Efficiency
- Jsc is linearly proportional to light intensity, as 10 suns can result in up to 10 times higher current density.
- Despite identical illumination, differences in device structure can lead to variations in Jsc due to changes in effective light trapping, parasitic losses, and charge extraction.
| Ref. | Sweep Parameter | Sweep Range | Effect Observed | Optimum Illumination Condition | Performance at Optimum |
|---|---|---|---|---|---|
| [35] | Front-contact light transmittance | 20% → 100% | Photocurrent and efficiency increased with higher transmittance | 100% transmittance (maximum illumination) | Jsc = 34.65 mA cm−2 |
| [36] | Front-contact transmittance and back-reflection | Transmission 20–100%; reflection 20–100% | Higher transmittance and reflection improved photon absorption and carrier generation | 100% front transmission and 100% back reflection | Jsc = 33.51 mA cm−2; (experimental) |
| [31] | Light intensity | 1 → 10 kW m−2 | Jsc and Voc increased with light intensity; FF slightly decreased beyond 1 kW m−2 | 10 kW m−2 (highest illumination) | MASnI3: Jsc = 32.05 mA cm−2; MAPbI3: Jsc = 27.93 mA cm−2; |
| [32] | Light intensity | 1000→ 251.19 W m−2 | Jsc decreased ≈ 75%; PCE dropped 6.72%; minor change in Voc and FF | 1000 W m−2 (AM1.5 illumination) | Jsc = 27.77 mA cm−2; |
| [47] | Light intensity | 200 → 1000 W m−2 (AM1.5G) | Higher light intensity improved carrier generation and PCE; Voc increased logarithmically with intensity | 1000 W m−2 (1 sun) | Jsc = 22.88 mA cm−2 |
| [45] | Incorporation of p-doped Si nanoparticles (light trapping) | AM1.5G (100 mW cm−2) | Enhanced light absorption and hole transport; improved Jsc and Voc | AM1.5G illumination with p-Si NPs embedded in HTL | Jsc = 22.02 mA cm−2 |
| [37] | Light intensity | 0.2 → 1 sun (AM1.5G) | Increased light intensity enhanced carrier generation, Jsc, and PCE; Voc increased logarithmically | 1 sun illumination (AM1.5G, 1000 W/m2) | Jsc = 21.7 mA cm−2 |
| [50] | Illumination (dark → continuous 532 nm laser) | Dark → ≈ 8 W cm−2 | Continuous light exposure caused significant Surface Photovoltage (SPV) buildup and slow decay from photo-induced charge redistribution and ion migration | Continuous 532 nm illumination (~8 W cm−2) | SPV = +500 mV (TiOx), −320 mV (NiOx); decay ≈ 700 s |
| [48] | Illumination (dark → 1 sun) | Dark → 1 sun | Photo-illumination induced large capacitance and negative capacitance from ion migration | 1 sun illumination | Photo-capacitance ≈ 10−1 F cm−2 (low frequency) |
| [49] | Light intensity and illumination wavelength | <1 sun → simulated >10 suns; 470 nm (blue) → 620 nm (red) | τ_TPV increased at lower light intensity (RC-limited <1 sun); red light caused faster bulk recombination; blue light slower interface recombination | >10 suns (simulated illumination); blue light (470 nm) | τ_TPV ≈ 2τ_SRH (~30 ns simulated); τ_TPV = 0.7–1 ms (blue), 0.4–0.5 ms (red) |
| Non-perovskite-based absorber material | |||||
| [28] | Light intensity and illumination type | 200 → 1000 lux; WLED, CFL, halogen | Higher light intensity increased carrier generation; CFL/WLED gave best performance with BiOI due to higher visible-range power density, matching with BiOI absorption | 1000 lux WLED illumination | Jsc = 1.83 mA cm−2 |
| [29] | Illumination condition (AM1.5 → indoor light) | AM1.5 (1000 W m−2) → indoor LED/FL (1000 lux ≈ 3 W m−2) | Jsc and Voc decreased under low light; FF improved; PCE was higher under LED due to spectral matching | Indoor cold-white, fluorescent light (6500 K, 1000 lux) | Jsc = 0.116 mA cm−2; |
4.4. Software-Based Analysis of the 28 Papers Considered in the Study
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Conflicts of Interest
References
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| Clusters | Number of Keywords | Keywords |
|---|---|---|
| 1 | 20 | band-gap, buffer layer, cigs, conversion efficiency, czt, dependence, deposition, enhancement, growth, interface, numerical analysis, optical-properties, performance, photovoltaics, scaps-1d, simulation, solar cells, temperature, thickness, thin film |
| 2 | 18 | crystalline silicon, defects, degradation, device modeling, device simulation, efficiency, fabrication, gaas, impact, light trapping, numerical modeling, numerical simulations, parameters, recombination, silicon, silicon solar cells, temperature-dependence model, unified mobility model |
| 3 | 17 | efficient, electron, films, graphene, halide perovskites, hole transport layer, hysteresis, layers, open-circuit voltage, organic solar cells, oxide, perovskite, perovskite solar cells, power conversion efficiency, stability, transport, voltage |
| 4 | 10 | absorption, energy, extraction, identification, model, modeling, modules, optimization, photovoltaic cells, solar energy |
| 5 | 4 | design, heterojunction, high-efficiency, tandem solar cell |
| Keyword | Occurrences | Total Link Strength |
|---|---|---|
| efficiency | 244 | 513 |
| solar cells | 265 | 442 |
| performance | 195 | 434 |
| simulation | 153 | 358 |
| scaps-1d | 110 | 296 |
| layers | 80 | 220 |
| numerical simulations | 130 | 215 |
| optimization | 85 | 213 |
| thin film | 81 | 204 |
| perovskite solar cells | 92 | 197 |
| recombination | 77 | 195 |
| design | 57 | 138 |
| silicon | 69 | 137 |
| temperature | 48 | 128 |
| photovoltaics | 56 | 119 |
| perovskite | 34 | 117 |
| halide perovskites | 33 | 104 |
| transport | 38 | 103 |
| efficient | 32 | 102 |
| device simulation | 42 | 95 |
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© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
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Ahmed, N.u.a.; Lamberti, P.; Tucci, V. A Science Mapping Analysis of Computational Methods and Exploration of Electrical Transport Studies in Solar Cells. Materials 2026, 19, 452. https://doi.org/10.3390/ma19030452
Ahmed Nua, Lamberti P, Tucci V. A Science Mapping Analysis of Computational Methods and Exploration of Electrical Transport Studies in Solar Cells. Materials. 2026; 19(3):452. https://doi.org/10.3390/ma19030452
Chicago/Turabian StyleAhmed, Noor ul ain, Patrizia Lamberti, and Vincenzo Tucci. 2026. "A Science Mapping Analysis of Computational Methods and Exploration of Electrical Transport Studies in Solar Cells" Materials 19, no. 3: 452. https://doi.org/10.3390/ma19030452
APA StyleAhmed, N. u. a., Lamberti, P., & Tucci, V. (2026). A Science Mapping Analysis of Computational Methods and Exploration of Electrical Transport Studies in Solar Cells. Materials, 19(3), 452. https://doi.org/10.3390/ma19030452

