Perovskites: Chemical Principles for Next-Generation Solar Energy Materials Prof. Aron Walsh Department of Materials, Imperial College London Materials Design Group: https://wmd-group.github.io @lonepair
materials and device optimisation Complex chemical processes in CdTe solar cells: • Cu diffusion • CdCl2 annealing • Cd(S,Te) formation • (Cd,Zn)S formation http://www.nrel.gov/pv/cadmium-telluride-solar-cells.html Cu S,Te mixing Cd,Zn mixing
cells with >20% light-to-electricity conversion Face-centred cubic semiconductors: Si, GaAs, CdTe, CuInS2 Crystallographic unit cell of chalcopyrite [CuFeS2 mineral and Cu(In,Ga)(S,Se)2 ] Cu/In ions ordered in (201) planes All ions with tetrahedral coordination
the theoretical limit, while Si is cheap. New materials must perform! Metal oxides Cu2 O (6%) Bi2 FeCrO6 (8%) Co3 O4 (<1%) Metal sulphides SnS (5%) Cu2 ZnSnS4 (13%) FeS2 (3%) Metal halides CsSnI3 (10%) CH3 NH3 PbI3 (23%) BiI3 (1%) Examples of materials studied for thin-film photovoltaics (% sunlight to electricity conversion in photovoltaic devices) M. A. Green et al, Solar cell efficiency tables (version 52)
of chemistry are completely known” Dirac (1929) Boys et al, Nature 4544, 1207 (1956) EDSAC: Electronic delay storage automatic calculator o 3,000 vacuum tubes o Power consumption: 11 kW o Calculations on H2 , H2 O, BH radical
electron-electron interactions electron-phonon interactions phonon-phonon interactions Accurate Solid-State Properties effective mass to carrier mobility phonon frequencies to lifetimes ground to excited states defects and disorder in crystals
learning guide: K. T. Butler et al, Nature 559, 547 (2018) Potential for combining first-principles predictions with experiments and databases for data-driven materials discovery
PbI3 3D periodic boundary (80–640 atoms) 25 fs per frame 0.5 fs timestep based on PBEsol forces at T=300K “As soft as jelly” J. M. Frost, K. T. Butler, A. Walsh, APL Mater. 2, 081506 (2014) Combination of density functional theory, GW theory, lattice dynamics, molecular dynamics, classical Monte Carlo, continuum device models
Matter 20, 2 (2007) Note: the analogy is limited. Mixed ionic-electronic transport in perovskites gives rise to more complex Hebb-Wagner polarization (thanks Joachim Maier)
Unger et al, EES (2014)] Rapid chemical conversion between halides [Pellet et al, CoM (2015); Eperon et al, MH (2015)] Photoinduced phase separation [Hoke et al, CS (2015); Yoon et al, ACS-EL (2016)] Electric field induced phase separation [Xiao et al, NatM (2015); Yuan et al, AEM (2016)] Photo-stimulated ionic conductivity [Yang et al, AChemie (2015); Kim et al, NatM (2018)]
Lett. 3, 1983 (2018) Reservoir of charged point defects (site vacancies) in thermodynamic equilibrium: V- MA , V2- Pb , V+ I A. Walsh et al, Angewandte Chemie 54, 1791 (2015) Figure 3. Iodide ion vacancy migration from DFT calculations (a) Calculated migration Vacancy Ea (eV) I- 0.6 CH3 NH3 + 0.8 Pb2+ 2.3 D ~ 10-12cm2s-1 at T = 300 K [PBEsol/DFT in 768 atom supercell with nudged-elastic band]
Perovskites Phonon glass Phys. Rev. B 94, 220301 (2016) Stimuli that can activate ionic conductivity: electrical; chemical; optical; mechanical; thermal Walsh and Stranks, ACS Energy Lett. 3, 1983 (2018) Lattice thermal conductivity is ultra-low – do mobile ions transport heat?
Direct optical bandgap (1–2 eV) • Easy to deposit and scale-up production • Semiconductor with low carrier concentrations • Tolerant to impurities and microstructure • Chemically stable at interfaces • Workfunction matched to electrical contacts
Direct optical bandgap (1–2 eV) • Easy to deposit and scale-up production • Semiconductor with low carrier concentrations • Tolerant to impurities and microstructure • Chemically stable at interfaces • Workfunction matched to electrical contacts What can we reliably calculate using materials modelling?
absorption and detailed-balance for a thin-film SLME metric: Yu and Zunger, Phys. Rev. Lett. 108, 068701 (2012) Detailed balance: Blank et al, Phys. Rev. App. 8, 024032 (2017) Materials Chemistry Structure/Composition o Orbital character o Band widths o Band degeneracy o Selection rules
descriptor: ΔHf . Advanced: secondary phases under realistic growth conditions (ΔGf ) Materials Chemistry Structure/Composition o Choice of elements o Stoichiometry o Synthetic routes o Metastability Kesterites: Jackson and Walsh, J. Mat. Chem A 2, 7829 (2014) Perovskites: Zhang et al, Chin. Phys. Lett. 3, 036104 (2018) [arXiv 2014] Cu2 ZnSnS4 à Cu2 S + ZnS + SnS +S(g)
and ΔH(q,q’) for key defects. Advanced: self-consistent EF analysis Materials Chemistry Structure/Composition o Band energies o Growth conditions o (Co-)dopants o Solid-solutions Analysis of SnS: Y. Kumagai et al, Phys. Rev. Appl. 6, 014009 (2016) Defect review: J. Park et al, Nature Rev. Mater. 3, 194 (2018) Self-consistent defect cycle
Mater. 16, 964 (2017) Defect review: J. Park et al, Nature Rev. Mater. 3, 194 (2018) Simple descriptor: ΔH(q,q’) point defect levels. Advanced: prediction of carrier capture rates Materials Chemistry Structure/Composition o Redox active ions o Lattice vibrations o Passivation o Post-processing
ɸ (workfunction). Advanced: structure matching and interfacial effects Materials Chemistry Structure/Composition o Atomic levels o Coordination o Reactivity o Interface layers QM/MM band energies: D. O. Scanlon et al, Nature Mater. 12, 798 (2013) ELS for perovskites: K. T. Butler et al, J. Mater. Chem. C 4, 1129 (2016) Electronic matching Lattice strain Site overlap for A find B with low Schottky barrier & small lattice mismatch & high atomic overlap
emerging photovoltaic technologies • Many simulation approaches required to describe length and time scales • Developments needed for quantitative predictions to support materials discovery Slides: https://speakerdeck.com/aronwalsh Thanks to past and present group members including Federico Brivio, Jarvist Frost, Jonathan Skelton, Lucy Whalley and collaboration network incl. P. Barnes, M. Toney, S. Stranks