Chin. Phys. Lett.  2009, Vol. 26 Issue (8): 087202    DOI: 10.1088/0256-307X/26/8/087202
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
Potential-Dependent Generalized Einstein Relation in Disordered Organic Semiconductors
LU Xiao-Hong, SUN Jiu-Xun, GUO Yang, ZHANG Da
Department of Applied Physics, University of Electronic Science and Technology, Chengdu 610054
Cite this article:   
LU Xiao-Hong, SUN Jiu-Xun, GUO Yang et al  2009 Chin. Phys. Lett. 26 087202
Download: PDF(325KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract The generalized Einstein relation (GER) is extended to consider the potential energy of carriers in an electric field (PDGER). It can be equivalently seen as the GER having position-dependent Fermi energy, and implies the organic semiconductor is in non-equilibrium under an electric field. The distribution of the carrier density with position is solved for two polymer layers. The numerical results are used to evaluate the PDGER. It is shown that the ratio of diffusion coefficient to mobility, μ/D, increases with Fermi energy and decreases with carrier density. The PDGER gives non-traditional values for the two polymer layers; the value of μ/D is small near the surface, and slightly increases as the position departs from the surface.
Keywords: 72.80.-r      72.80.Le      73.20.-r     
Received: 23 March 2009      Published: 30 July 2009
PACS:  72.80.-r (Conductivity of specific materials)  
  72.80.Le (Polymers; organic compounds (including organic semiconductors))  
  73.20.-r (Electron states at surfaces and interfaces)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/26/8/087202       OR      https://cpl.iphy.ac.cn/Y2009/V26/I8/087202
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
LU Xiao-Hong
SUN Jiu-Xun
GUO Yang
ZHANG Da
[1] Burroughes J H, Bradley D D C, Brown A R, Marks R N,Mackay K, Friend R H, Burns P L, and Holmes A B 1990 Nature 347 539
[2] Gustafsson G, Cao Y, Treacy G M, Klavetter F, Colaneri Nand Heeger A J 1992 Nature 357 477
[3] Sirringhaus H 2005 Adv. Mater. 17 2411
[4] Chua L L, Zaumseil J, Chang J F, Ou E C, Ho P K,Sirringhaus H and Friend R H 2005 Nature 434 194
[5] Pasveer W F, Cottaar J and Tanase C 2005 Phys. Rev.Lett. 94 206601
[6] Zhou J, Zhou Y C, Zhao J M, Wu C Q, Ding X M and X Y Hou2007 Phys. Rev. B 75 153201
[7] Craciun N I, Wildeman J and Blom P W M 2005 Phys.Rev. Lett. 100 056601
[8] Blom P W M, de Jong M J M and van Munster M G 1997 Phys. Rev. B 55 R656
[9] Tanase C, Blom P W M and de Leeuw D M 2004 Phys.Rev. B 70 193202
[10] Roichman Y and Tessler N 2002 Appl. Phys. Lett. 80 1948
[11] Scher H and Montroll E M 1975 Phys. Rev. B 122455
[12] Horsche E M, Haarer D and Scher H 1987 Phys. Rev. B 35 1273
[13] Demeyu L and Sven S 2007 Phys. Rev. B 76155202
[14] Richert R, Pautmeier L and Bassler H 1989 Phys. Rev.Lett. 63 547
[15] Pinner D J, Friend R. H and Tessler N 1999 J. Appl.Phys. 86 5116
[16] Blom P W M and Vissenberg M 1998 Phys. Rev. Lett. 80 3819
[17] Peng Y Q, Yang J H and Lu F P 2006 Appl. Phys. A 83 305
[18] Peng Y Q, Yang J H, Lu F P, Yang Q S, Xing H W, Li X Sand Song C A 2007 Appl. Phys. A 86 225
[19] Das A and Khan A 2008 Appl. Phys. A 93 527
[20] Blickle V, Speck T, Lutz C, Seifert U and Bechinger C2007 Phys. Rev. Lett. 98 210601
[21] Speck T and Seifert U 2006 Europhys. Lett. 74391
[22] Tal O and Epstein I 2008 Phys. Rev. B 77201201
[23] Ashcroft N W and Mermin N D 1998 Solid StatePhysics (New York: Holt, Rinehart and Winston)
[24] Tal O, Rosenwaks Y, Preezant Y, Tessler N, Chan C. K andKahn A 2005 Phys. Rev. Lett. 95 256405
Related articles from Frontiers Journals
[1] CHEN Shun-Sheng, YANG Chang-Ping, LUO Xiao-Jing, Bä, rner K., Medvedeva I. V.. Alternating-Current Transport Properties of the Interface between Nd0.7Sr0.3MnO3 Ceramic and a Ag Electrode[J]. Chin. Phys. Lett., 2012, 29(2): 087202
[2] WANG Li-Guo**, ZHANG Huai-Wu, TANG Xiao-Li, LI Yuan-Xun, ZHONG Zhi-Yong. Charge Transport and Electrical Properties in Poly(3-hexylthiophene) Polymer Layers[J]. Chin. Phys. Lett., 2012, 29(1): 087202
[3] ZHAO Hong-Xia, ZHAO Hui**, CHEN Yu-Guang . Dynamical Process of Dissociation of Excitons in Polymer Chains with Impurities[J]. Chin. Phys. Lett., 2011, 28(9): 087202
[4] LIU Yan, AO Zhi-Min**, WANG Tao**, WANG Wen-Bo, SHENG Kuang, YU Bin, . Transformation from AA to AB-Stacked Bilayer Graphene on α−SiO2 under an Electric Field[J]. Chin. Phys. Lett., 2011, 28(8): 087202
[5] SHI Yan-Li, MEI Feng, YU Ya-Fei, ZHANG Zhi-Ming** . Controlled Phase Gate Based on an Electron Floating on Helium[J]. Chin. Phys. Lett., 2011, 28(5): 087202
[6] LI Bi-Xin, CHEN Jiang-Shan, ZHAO Yong-Biao, MA Dong-Ge** . Frequency-Dependent Electrical Transport Properties of 4,4',4[J]. Chin. Phys. Lett., 2011, 28(5): 087202
[7] KONG Fang-Fang, LIU Cong-Cong, XU Jing-Kun**, JIANG Feng-Xing, LU Bao-Yang, YUE Rui-Rui, LIU Guo-Dong, WANG Jian-Min . Simultaneous Enhancement of Electrical Conductivity and Seebeck Coefficient of Poly(3,4-ethylenedioxythiophene):Poly(styrenesulfonate) Films Treated with Urea[J]. Chin. Phys. Lett., 2011, 28(3): 087202
[8] JIANG Chun-Xia, YANG Xiao-Yan, ZHAO Kai, WU Xiao-Ming, YANG Li-Ying, CHENG Xiao-Man, WEI Jun, YIN Shou-Gen, ** . High Performance Polymer Field-Effect Transistors Based on Thermally Crosslinked Poly(3-hexylthiophene)[J]. Chin. Phys. Lett., 2011, 28(11): 087202
[9] LIANG Chun-Jun, ZOU Hui, HE Zhi-Qun, ZHANG Chun-Xiu, LI Dan, WANG Yong-Sheng. Polymer Light-Emitting Diode Using Conductive Polymer as the Anode Layer[J]. Chin. Phys. Lett., 2010, 27(9): 087202
[10] LI Rong-Hua, MENG Wei-Min, PENG Ying-Quan, MA Chao-Zhu, WANG Run-Sheng, XIE Hong-Wei, WANG Ying. Numerical Study on Open-Circuit Voltage of Single Layer Organic Solar Cells with Schottky Contacts: Effects of Molecular Energy Levels, Temperature and Thickness[J]. Chin. Phys. Lett., 2010, 27(8): 087202
[11] QIAO Xian-Feng, CHEN Jiang-Shan, MA Dong-Ge. Comparative Study on Hole Transport in N,N'-bis(naphthalen-1-yl)-N,N'- bis(pheny) Benzidine and 4,4',4''-tri(N-carbazolyl)triphenylamine[J]. Chin. Phys. Lett., 2010, 27(8): 087202
[12] LI Zhong-Liang, WU Zhao-Xin, JIAO Bo, MAO Gui-Lin, HOU Xun. Capacitance of Organic Schottky Diodes Based on Copper Phthalocyanine (CuPc)[J]. Chin. Phys. Lett., 2010, 27(6): 087202
[13] LU Bao-Yang, LIU Cong-Cong, LU Shan, XU Jing-Kun, JIANG Feng-Xing, LI Yu-Zhen, ZHANG Zhuo. Thermoelectric Performances of Free-Standing Polythiophene and Poly(3-Methylthiophene) Nanofilms[J]. Chin. Phys. Lett., 2010, 27(5): 087202
[14] Jaya Lohani, Manoj Gaur, Upendra Kumar, V. R. Balakrishnan, Harsh, S. V. Eswaran. Electrical Studies on Pentacene Thin Film Transistors with Different Channel Widths[J]. Chin. Phys. Lett., 2010, 27(4): 087202
[15] CHENG Cui-Ran, CHEN Yu-Huan, QIN Da-Shan**, QUAN Wei, LIU Jin-Suo. Inverted Bottom-Emission Organic Light Emitting Diode Using Two n-Doped Layers for the Enhanced Performance[J]. Chin. Phys. Lett., 2010, 27(11): 087202
Viewed
Full text


Abstract