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Based on the Su-Schrieffer-Heeger (SSH) model extended to include the square term of the electron-lattice interaction，the dynamic characteristics of polarons are investigated. With increasing of the coefficient of the square term (β)，the energy gap between the valance band and the conduction band increases. but the total width of the energy band does not change. At the same time，it is found that the dimerization amplitude and the localization of polarons are strengthened by the nonlinear electron-lattice interaction. Furthermore，the results show that the polaron velocity is suppressed by the nonlinear electron-lattice interaction，and the critical electric field strength to dissociate the polaron increases with β increasing.
[1] ［1］ Burroughes J H，Bradley D D C，Brown A R，Marks R N，Mackay K，Friend R H，Burns P L，Holmes A B 1990 Nature 347 539
[2] ［2］ Pei Q B，Yu G，Zhang C，Yang Y，Heeger A J 1995 Science 269 1086
[3] ［3］ Heeger A J，Kivelson S，Schrieffer J R，Su W P 1988 Rev. Mod. Phys. 60 781
[4] ［4］Drechsler S L，Malek J，Eschrig H，Kpple H，Cederbaum L S 1993 Synth. Met. 57 4272
[5] ［5］ Sun X 1990 The Soliton And Polaron In High Polymers (Chengdu：Sichuan Education Press) p135 (in Chinese) ［孙鑫 1990 高聚物中的孤子和极化子(成都：四川教育出版社)第135页］
[6] ［6］ Brazovskill S A，Kirova N N，Sov 1981 Phys. JETP. Lett. 33 4
[7] ［7］Campbell D K，Bishop A R，Fesser K 1982 Phys. Rev.B 26 6862
[8] ［8］ Brazovskii S，Kirova N 1981 Chem. Scripta 17 171
[9] ［9］ Wang L X，Liu D S，Xie S J 2002 Acta Phys. Sin. 51 362 （in Chinese） ［王鹿霞、刘德胜、解士杰 2002 物理学报 51 362］
[10] ］Zhang X J，Li G Q，Sun X 2002 Acta Phys. Sin. 51 134 （in Chinese） ［张锡娟、李广起、孙鑫 2002 物理学报 51 134］
[11] ］Liu X J，Gao K，Li Y，Fu J Y，Wei J H，Xie S J 2007 Synth. Met. 157 380
[12] ］Yu J F，Wu C Q，Sun X，Nasu K 2004 Phys. Rev. B 70 064303
[13] ］Rakhmanova S V，Conwell E M 2000 Synth. Met. 110 37
[14] ］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、韩圣浩、解士杰 2003 物理学报 52 2547］
[15] ］Wu C Q 2005 Synthetic Metals 152 493
[16] ］Rakhmanova S V，Conwell E M 1999 Appl. Phys. Lett. 75 1518
[17] ］ Johansson A A，Starfstrm S 2004 Phys. Rev. B 69 235205
[18] ］ An Z，Li Z J，Liu Y，Li Y C 1997 Z. Phys.B 103 61
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[1] ［1］ Burroughes J H，Bradley D D C，Brown A R，Marks R N，Mackay K，Friend R H，Burns P L，Holmes A B 1990 Nature 347 539
[2] ［2］ Pei Q B，Yu G，Zhang C，Yang Y，Heeger A J 1995 Science 269 1086
[3] ［3］ Heeger A J，Kivelson S，Schrieffer J R，Su W P 1988 Rev. Mod. Phys. 60 781
[4] ［4］Drechsler S L，Malek J，Eschrig H，Kpple H，Cederbaum L S 1993 Synth. Met. 57 4272
[5] ［5］ Sun X 1990 The Soliton And Polaron In High Polymers (Chengdu：Sichuan Education Press) p135 (in Chinese) ［孙鑫 1990 高聚物中的孤子和极化子(成都：四川教育出版社)第135页］
[6] ［6］ Brazovskill S A，Kirova N N，Sov 1981 Phys. JETP. Lett. 33 4
[7] ［7］Campbell D K，Bishop A R，Fesser K 1982 Phys. Rev.B 26 6862
[8] ［8］ Brazovskii S，Kirova N 1981 Chem. Scripta 17 171
[9] ［9］ Wang L X，Liu D S，Xie S J 2002 Acta Phys. Sin. 51 362 （in Chinese） ［王鹿霞、刘德胜、解士杰 2002 物理学报 51 362］
[10] ］Zhang X J，Li G Q，Sun X 2002 Acta Phys. Sin. 51 134 （in Chinese） ［张锡娟、李广起、孙鑫 2002 物理学报 51 134］
[11] ］Liu X J，Gao K，Li Y，Fu J Y，Wei J H，Xie S J 2007 Synth. Met. 157 380
[12] ］Yu J F，Wu C Q，Sun X，Nasu K 2004 Phys. Rev. B 70 064303
[13] ］Rakhmanova S V，Conwell E M 2000 Synth. Met. 110 37
[14] ］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、韩圣浩、解士杰 2003 物理学报 52 2547］
[15] ］Wu C Q 2005 Synthetic Metals 152 493
[16] ］Rakhmanova S V，Conwell E M 1999 Appl. Phys. Lett. 75 1518
[17] ］ Johansson A A，Starfstrm S 2004 Phys. Rev. B 69 235205
[18] ］ An Z，Li Z J，Liu Y，Li Y C 1997 Z. Phys.B 103 61
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