and Aron Walsh Dept. of Materials, Imperial College London, UK [email protected] | frssp.github.io | frssp | 0000-0001-5072-6801 2019 – EMRS Spring Meeting
R.G. Egdell, and G.W. Watson, Chem. Soc. Rev. 40, 4455 (2011) Rocksalt MgO Litharge PbO What happens when lone-pairs are formed in defects? Mg2+: [Ne] 3s0 Pb2+: [Xe] 4f14 5d10 6s2 .. Light-to-electricity conversion efficiency of solar cells
(1980) Phys. Rev. B 90, 035211 (2014) J. Appl. Phys. 32, 510 (1961) Shockley-Queisser limit for a single junction solar cell Reversible Heat engine Irreversible processes in a single junction solar cell
relaxation “… So-called killer centers, with fast nonradiative transitions, … we list four examples: … 2. Defect with favorable vibrational properties, that is, with large-amplitude modes promoting the transitions, and large-energy modes to take up the electronic energy …” - A. M. Stoneham in Defects and Defect Processes in nonmetallic Solids 8 Which defects exhibit both deep levels and large lattice relaxation? Park, J.-S., Kim, S., Xie, Z. & Walsh, A., Nat. Rev. Mater. 3, 194 (2018)
Inert-pair effect: ineffective screening by d and f orbitals The large ionization energy for ns orbitals leads to a deep donor levels. Deep level [Kr] 4d10 5S0 5p0 R = 71 pm [Kr] 4d10 5S2 5p0 R = 112 pm The reduction and oxidation may leads to a large change in the structure of defect (similar to that in the bulk phase). Sn(IV) Sn(II) The defects involving the oxidation and reduction of lone-pairs may act as killer centers
energy – Lone-pairs introduce deep donor levels! B. Capture cross section – Lone-pairs capture carriers too fast! C. Concentration – We can’t remove them! B. Chemical tuning o Ge alloying o H/Alkali metal (co)doping o Ag alloying
Large lattice relaxation 1+ 2+ 4+ 1+ Conduction band 1+ 2+ 1+ 2+ e− e− Sn(IV): 5s05p0 (CZTS, SnS2 ) Sn(II): 5s25p0 (SnS) Sn(IV) Sn(II) Zn Cu Cu Cu Cu Zn The lone-pair formation in a defect would lead to both deep level and large lattice relaxation. Kim, S. et al., ACS Energy Lett. 3, 496 (2018)
1+ V S 1+ Cu Zn 1− Sn Zn 1+ (V S -Cu Zn )0 V S 1+ Sn Zn 1+ (a) (b) (c) Defect wave functions are well localized around Sn 5s orbitals. 13 J. Mater. Chem. A 7, 2686 (2019)
The large lattice distortions lead to the small carrier capture barriers. ΔQ offset indicates the degree of lattice relaxation. ΔQ Neutral trap Repulsive trap Giant trap V S -Cu Zn 1+ V S 2+ Sn Zn 1+ Sn Zn 2+ Cu Sn 1− 1000/T (1/K) σn (cm2) 0 2 4 6 8 10 10−30 10−27 10−24 10−21 10−18 10−15 10−12 (a ) (b Configuration Coordinate Capture cross section 15 J. Mater. Chem. A 7, 2686 (2019)
Ag 2 SnS ZnSe SnSe SnSe Se CuS Cu 2 S Cu Cu 2 SnS 3 S Sn ZnS SnS SnS 2 (a) (b) 17 ZnS is too stable with respect to the formation of CZTS. μZn (eV) μCu (eV) μSn (eV) 0 −1 −2 −2 −1 −1 −2 0 0 o Zn-rich Additional Zn forms ZnS. o Sn-poor The Cu-rich secondary phases are conductive. o hole poor (n-type) The acceptor (CuZn ) are too many.
energy – Lone-pairs introduce deep donor levels! B. Capture cross section – Lone-pairs capture carriers too fast! C. Concentration – We can’t remove them! B. Chemical tuning o Ge alloying o H/Alkali metal (co)doping o Ag alloying
10 0.0 0.5 1.0 1.5 2.0 Q (amu1/2 Å) Energy (eV) GeVI+e+h GeIII+h GeVI 21 Electron capture by GeZn 2+ Hole capture by GeZn 1+ Se-poor Se-rich Zn-rich Cu-poor Concentration (cm-3) Energy (eV) p0 VZn ZnCu Ge Zn VCu V Se -Cu Zn CuZn EF,p EF,n VCu CuZn VSe GeZn VSe -CuZn EF ZnCu V Se Configuration Coordinate of GeZn (2+/1+) Trap limited SQ limit CZGSe* η 26.6% 32.2% 7.6% *Phys. Status Solidi (a) 215, 1800043 (2018)
of ‘killer’ centres 25 Large lattice relaxation Deep level Fermi level pinning Narrow phase space ☠ Carrier lifetime ☠ Power conversion efficiency Chemical Tuning Fermi level control by doping and alloying Alternative elements w\ stable oxidation states Cu Zn Sn S What happens when lone-pairs are formed in defects? Which defects exhibit deep levels and favorable vibrational properties?
gentle into that good night Dylan Thomas Do not go gentle into that good night, Old age should burn and rave at close of day; Rage, rage against the dying of the light. Though wise men at their end know dark is right, Because their words had forked no lightning they Do not go gentle into that good night. … 26
gentle into that good night Do not go gentle into that good night, Old age should burn and rave at close of day; Rage, rage against the nonradiative recombination. Though wise men at their end know dark is right, Because their words had forked no lightning they Do not go gentle into that good night. … 27