Effect of 2D delocalization on charge. R. Österbacka
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1 Effect of 2D delocalization on charge transport and recombination in bulkheterojunction solar cells R. Österbacka
2 The people! Drs: H. Majumdar, S. Majumdar, T. Mäkelä, T. Remonen ÅA PhD students: H. Aarnio, N. Kaihovirta, D. Tobjörk, F. Jansson, N. Björklund, M. Nyman, S. Sanden, F. Petterson M.Sc. Students. E. Holm, M. Pesonen, A. Ylinen K.-M. Källman (lab engineer), ÅA Left the group: J. Lin (China), J. Baral (India), A. Pivrikas (Linz), T. Bäcklund (Merck), H. Sandberg (VTT), M. Westerling (Perkin- Elmer), H. Stubb (emeritus) G. Juška, G. Sliauzys, K. Arlauskas, N. Nekrasas, K. Genevicius/Vilnius Univ A. Pivrikas, A. Mozer and N.S. Sariciftci, LIOS G. Dennler and M. Scharber, Konarka Austria D. Vanderzande, Universiteit Hasselt, Belgium
3 Outline 1. Motivation for plastic solar cells Langevin recombination 2. Effect of morphology on transport Treated/untreated bulk-heterojunction solar cells 3. 3D vs 2D Langevin recombination Drift model Full drift-diffusion model 4. Importance of the interface Cw-PIA on treated and untreated solar cell blends 2D polarons generated Hybrid interfaces
4 Why Solar Energy? Available solar power: 20 MW p.p. (total earth surface) Human energy consumption: range 100 W - 10 kw p.p. average 2.5 kw p.p. (NL: 6 kw) at 10% overall efficiency: surface needed 1400x1400 km 2 to cover energy needs in 2050 (~1500 EJ) How to store and distribute? Source: ECN, Slide courtesy of P.W.M. Blom
5 The challenge for plastics Source: NREL/Wikipedia 7.87%, Solarmer Energy Inc, November 2009
6 Motivation High power conversion efficiencies in solar cells of lowmobility materials require high carrier densities. Higher carrier densities leads to shorter lifetimes [ ] (0) 1 τ = n β where β is the bimolecular recombination coefficient To understand charge transport and recombination is crucial for making more efficient solar cells!
7 Langevin Recombination Expected in all low-mobility (µ<1 cm 2 /Vs) materials Necessary condition: The carrier mean free path is much smaller than the Coulomb capture radius r c, i.e. a << r C. r c = 2 e 4 πεε kt nm Langevin recombination is determined by the probability for the charge carriers to meet in space, independent of the subsequent fate of the carriers dp dt = dn dt = β np = L β L n 2 β e( µ + µ ) n p L = µ f εε 0 ( F, T ) P. Langevin, Ann. Chim. Phys. 28, 433 (1903).
8 Consequences of Langevin recombination Langevin recombination is the time reversed process to Onsager-type generation Photogenerated charges will be bound within the Coulomb radius, r r c Field dependent generation of free carriers due to lowering of barrier Clarifying the recombination mechanism yields also information about generation! r c r kt
9 Effect of morphology l Untreated Treated Beal et al., Macromolecules 43, (2010) Page 9
10 3D vs 2D Langevin recombination Homogeneous (3D) Lamellar structure (2D) l f 3D = β e( µ + µ ) L dn dt n εε 0 p = β L n 0 n 2 e ( µ n + µ p) = εε f 2D = 3 π e( µ n + µ n) 4 εε dn dt 0 = γ ( ln) 3/ = γ n n 5/ 2 2D γ 2D π = l n = 6 10 β 4 L 3 3/ 2 1/ 2 3 2D ( * ) for l = 1.6 nm n=10 16 cm -3 Juska et al., APL (2009) (*)Shuttle et al., APL 92, (2008)
11 Including diffusion in 2D Greenham and Bobbert, PRB 68, (2003) Page 11
12 Inclusion of diffusion important in 2D! Neglecting diffusion underestimates the recombination time! V.I. Nenashev, F. Jansson et al., APL in press. Sivu 12
13 Importance of the interface 1,2 OD (normalized) 1,0 0,8 0,6 0,4 0,2 P3HT P3HT:PCBM 4:1 P3HT:PCBM 1:1 PCBM 0, λ [nm] 754 nm K. Vandewal et al. / Thin Solid Films 516 (2008)
14 Cw-PIA in RR-P3HT 514 nm 754 nm - T/T [10-3 ] 1.2 PA P3HT OS2100 IN PA 1.0 OUT 514 nm T=80K, f=133hz E [ev] - T/T [10-3 ] P3HT 785 nm T=80K, f=133hz PA IN PA OUT E [ev] Above gap excitation Below gap excitation H. Aarnio et al., manuscript in preparation Page 14
15 Cw-PIA in P3HT:PCBM 514 nm 754 nm P3HT:PCBM 1:1 514 nm 0.06 P3HT:PCBM 1:1 785 nm - T/T [10-3 ] PA IN PA OUT T=80K, f=133hz E [ev] - T/T [10-3 ] Signs of 2D-delocalized polarons Also with sub-gap excitation! T=80K, f=133hz E [ev] PA IN PA OUT H. Aarnio et al., manuscript in preparation Page 15
16 Use of nanostructured TiO 2 for hybrid solar cells Gold P3HT PCBM Dye h + e - h + e - h + e - TiO 2 TiO 2 TiO 2 ITO Nanocratermonolayer Access to substrate through TiO 2 pores Charges can dissociate at: P3HT:TiO 2 P3HT/PCBM Dye:TiO 2 interface Extraction can take place directly to ITO or through TiO 2 Effective charge screening? Possibility to expand the absorption by using an IR-dye S. Sanden, Q. Xu, J.-H. Smått, et al.,
17 300 K, V off = 0,05 V 180 K, V off = 0,14 V j [ma/cm 2 ] 2,0 1,5 1,0 0,5 30 µs 40 µs 60 µs 90 µs 150 µs 300 µs 600 µs 1 ms 2 ms 4 ms 8 ms dark j [ma/cm 2 ] 0,4 0,3 0,2 0,1 40 µs 60 µs 90 µs 150 µs 300 µs 600 µs 1 ms 2 ms 4 ms 8 ms 16 ms dark 0,0 0,0-0, t [µs] t [µs] j [ma/cm 2 ] 1,0 0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0,0-0,1 240 K, V off = 0,07 V 30 µs 40 µs 60 µs 90 µs 150 µs 300 µs 600 µs 1 ms 2 ms 4 ms 8 ms dark j [ma/cm 2 ] 0,09 0,08 0,07 0,06 0,05 0,04 0,03 0,02 0,01 0, K, V off = 0,15 V 60 µs 90 µs 150 µs 300 µs 600 µs 1 ms 2 ms 4 ms 8 ms 16 ms 32 ms dark -0, t [µs] t [µs]
18 µ [cm 2 /Vs] K 270 K 240 K t del [s] 210 K 180 K 150 K 120 K (dn/dt)/n 2 [cm 3 /s] K 270 K 240 K 210 K 180 K 150 K 120 K t del + t max [s] n(t) [cm -3 ] K 270 K 240 K 210 K K 150 K 120 K t del +t max [s] β/µ [cm 3 /s] K 270 K 240 K 210 K 180 K 150 K 120 K t del + t max [s]
19 Measurements on Sn:Sn Devices Au 3,0 ev LUMO 3,7 ev 4,4 ev 4,4 ev 5,1 ev HOMO 6,3 ev ITO Sn The work function of Sn lies between the LUMO of PCBM and the HOMO of P3HT The low conductivity of Sn is problematic
20 Measurements on Sn:Sn Devices 1E15 P3HT:PCBM 1:1 (Sn:Sn contacts) τ = 7,5 µs β = 1,33E-10 β/β L = 0,37 N0 =1E15 N -3 ext [cm ] 1E14 τ = 30 µs β = 1,45E-10 β/β L = 0,24 N0=2,3E14 Untreated Treated Bimolecular fit 1E13 1E-6 1E-5 1E-4 1E-3 Time [s] Mathias Nyman In collaboration with Fraunhofer ISE and Linköping niversity
21 Summary We have measured charge tranport and recombination in bulk heterojunction solar cells We found greatly reduced recombination in annealed RR-P3HT/PCBM Demixing and formation of lamellar structures in P3HT seems to be very important 2D Langevin model suggested Neglecting diffusion underestimates the recombination time in 2D Photoinduced absorption shows that 2D delocalized polarons are generated even with sub-gap excitation Hybrid interfaces offer new challenges
22 Thank You!
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