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Within an one-dimensional tight-binding Su-Schreiffer-Heeger model, we investigate the effect of interchain coupling on inelastic scattering of oppositely charged polarons in conjugated polymer by using a nonadiabatic evolution method. It is found that the yield of the neutral exciton depends sensitively on the interchain coupling. The yield of the neutral exciton increases with the enhancement of overlapping which can make the wave functions of oppositely charged polarons more largely overlapped. The formation yield of excitons also increases with the number of overlapping sites increasing to its maximum value, where the length of overlapping sites is almost of the same order of magnitude as the width of the polaron, the reason is that the number of overlapping sites can affect the overlap of oppositely charged polaron wave functions. In turn, the charge transfer between them depends on the overlap of their wave functions. Therefore, when the size of overlapping sites is almost of the same order of magnitude as the width of the polaron, their wave functions have a largest overlap, thereby making charge transfer more easily. So the yield of excitons has the largest value.
[1] Burroughes J H, Bradley D D C, Brown A R, Mark R N, Mackay K, Friend R H, Burns P L, Holmes A B 1990 Nature 347 539
[2] Cao Y, Parker L D, Yu G, Zhang C, Heeger A J 1999 Nature 397 414
[3] Shuai Z, Beoljonne D, Silbey R J, Bredas J L 2000 Phys. Rev. Lett. 84 131
[4] Ye A, Shuai Z, Bredas J L 2002 Phys. Rev. B 65 5208
[5] Wohlgenannt M, Tandon K, Mazumdar S, Ramasesha S, Vardeny Z V 2001 Nature 409 494
[6] Baldo M A, O'Brien D F, Thompson M E, Forrest S R 1999 Phys. Rev. B 60 14422
[7] Friend R H, Bradley D D D, Dos Santos D A, Bredas J L, Logdlund M, Salanech W R 1999 Nature 397 121
[8] Wohlgenannt M, Jiang X M, Vardeny Z V, Janssen R A 2002 J. Phys. Rev. Lett. 88 197401
[9] Sun Z, Li Y, Gao K, Liu D S, An Z, Xie S J 2010 Organic Electron. 11 279
[10] Sun Z, Li Y, Xie S J, An Z, Liu D S 2009 Phys. Rev. B 79 201310
[11] Meng Y, Liu X J, Di B, An Z 2009 J. Chem. Phys. 131 244502
[12] Li S, Tong G P, George T F 2009 J. Appl. Phys. 106 074513
[13] Rakhmanova S V, Conwell E M 2000 Synthetic Metals 110 37
[14] Liu W, Li Y, Qu Z, Gao K, Yin S, Liu D S 2009 Chin. Phys. Lett. 26 037101
[15] Song R, Liu X J, Wang Y D, Di B, An Z 2010 Acta Phys. Sin. 59 3461 (in Chinese) [宋瑞, 刘晓静, 王亚东, 邸冰, 安忠 2010 物理学报 59 3461]
[16] Di B, An Z, Li Y C, Wu C Q 2007 Eur. Phys. Lett. 79 17002
[17] Di B, Meng Y, An Z, Li Y C 2008 Chin. Phys. Lett. 25 679
[18] Wang L X, Zhang D C, Liu D S, Han S H, Xie S J 2003 Acta Phys. Sin. 52 2547 (in Chinese) [王鹿霞, 张大成, 刘德胜, 韩圣洁, 解士杰 2003 物理学报 52 2547]
[19] An Z, Di B, Zhao H, Wu C Q 2008 Eur. Phys. J. B 63 71
[20] Di B, Meng Y, Wang Y D, Liu X J, An Z 2011 J. Phys. Chem. B 115 964
[21] Di B, Meng Y, Wang Y D, Liu X J, An Z 2011 J. Phys. Chem. B 115 9339
[22] Baeriswyl D, Maki K 1988 Phys. Rev. B 38 8135
[23] Blackman J A, Sabra M K 1993 Phys. Rev. B 47 15437
[24] Liu W, Li H H, Liu D S 2010 Acta Phys. Sin. 59 6405 (in Chinese) [刘文, 李海宏, 刘德胜 2010 物理学报 59 6405]
[25] Johansson Å, Stafström S 2001 Phys. Rev. Lett. 86 3602
[26] Johansson Å, Stafström S 2002 Phys. Rev. B 66 085208
[27] Meng Y, Di B, Liu X J, An Z, Wu C Q 2008 J. Chem. Phys. 128 184903
[28] Meng Y, An Z 2010 Eur. Phys. J. B 74 313
[29] Su W P, Schrieffer J R, Heeger A J 1979 Phys. Rev. Lett. 42 1698
[30] Su W P, Schrieffer J R, Heeger A J 1980 Phys. Rev. B 22 2099
[31] Takayama H, Lin-Liu Y R, Maki K 1980 Phys. Rev. B 21 2388
[32] Brankin R W, Gladwell I, Shampine L F RKSUITE: Software for ODE IVPS (www.netlib.org) [2012-12-10]
[33] An Z, Wu C Q, Sun X 2004 Phys. Rev. Lett. 93 216407
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[1] Burroughes J H, Bradley D D C, Brown A R, Mark R N, Mackay K, Friend R H, Burns P L, Holmes A B 1990 Nature 347 539
[2] Cao Y, Parker L D, Yu G, Zhang C, Heeger A J 1999 Nature 397 414
[3] Shuai Z, Beoljonne D, Silbey R J, Bredas J L 2000 Phys. Rev. Lett. 84 131
[4] Ye A, Shuai Z, Bredas J L 2002 Phys. Rev. B 65 5208
[5] Wohlgenannt M, Tandon K, Mazumdar S, Ramasesha S, Vardeny Z V 2001 Nature 409 494
[6] Baldo M A, O'Brien D F, Thompson M E, Forrest S R 1999 Phys. Rev. B 60 14422
[7] Friend R H, Bradley D D D, Dos Santos D A, Bredas J L, Logdlund M, Salanech W R 1999 Nature 397 121
[8] Wohlgenannt M, Jiang X M, Vardeny Z V, Janssen R A 2002 J. Phys. Rev. Lett. 88 197401
[9] Sun Z, Li Y, Gao K, Liu D S, An Z, Xie S J 2010 Organic Electron. 11 279
[10] Sun Z, Li Y, Xie S J, An Z, Liu D S 2009 Phys. Rev. B 79 201310
[11] Meng Y, Liu X J, Di B, An Z 2009 J. Chem. Phys. 131 244502
[12] Li S, Tong G P, George T F 2009 J. Appl. Phys. 106 074513
[13] Rakhmanova S V, Conwell E M 2000 Synthetic Metals 110 37
[14] Liu W, Li Y, Qu Z, Gao K, Yin S, Liu D S 2009 Chin. Phys. Lett. 26 037101
[15] Song R, Liu X J, Wang Y D, Di B, An Z 2010 Acta Phys. Sin. 59 3461 (in Chinese) [宋瑞, 刘晓静, 王亚东, 邸冰, 安忠 2010 物理学报 59 3461]
[16] Di B, An Z, Li Y C, Wu C Q 2007 Eur. Phys. Lett. 79 17002
[17] Di B, Meng Y, An Z, Li Y C 2008 Chin. Phys. Lett. 25 679
[18] Wang L X, Zhang D C, Liu D S, Han S H, Xie S J 2003 Acta Phys. Sin. 52 2547 (in Chinese) [王鹿霞, 张大成, 刘德胜, 韩圣洁, 解士杰 2003 物理学报 52 2547]
[19] An Z, Di B, Zhao H, Wu C Q 2008 Eur. Phys. J. B 63 71
[20] Di B, Meng Y, Wang Y D, Liu X J, An Z 2011 J. Phys. Chem. B 115 964
[21] Di B, Meng Y, Wang Y D, Liu X J, An Z 2011 J. Phys. Chem. B 115 9339
[22] Baeriswyl D, Maki K 1988 Phys. Rev. B 38 8135
[23] Blackman J A, Sabra M K 1993 Phys. Rev. B 47 15437
[24] Liu W, Li H H, Liu D S 2010 Acta Phys. Sin. 59 6405 (in Chinese) [刘文, 李海宏, 刘德胜 2010 物理学报 59 6405]
[25] Johansson Å, Stafström S 2001 Phys. Rev. Lett. 86 3602
[26] Johansson Å, Stafström S 2002 Phys. Rev. B 66 085208
[27] Meng Y, Di B, Liu X J, An Z, Wu C Q 2008 J. Chem. Phys. 128 184903
[28] Meng Y, An Z 2010 Eur. Phys. J. B 74 313
[29] Su W P, Schrieffer J R, Heeger A J 1979 Phys. Rev. Lett. 42 1698
[30] Su W P, Schrieffer J R, Heeger A J 1980 Phys. Rev. B 22 2099
[31] Takayama H, Lin-Liu Y R, Maki K 1980 Phys. Rev. B 21 2388
[32] Brankin R W, Gladwell I, Shampine L F RKSUITE: Software for ODE IVPS (www.netlib.org) [2012-12-10]
[33] An Z, Wu C Q, Sun X 2004 Phys. Rev. Lett. 93 216407
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