Charge Transport Mechanisms PDF

Hamiltonians H Hot H t Ha test Ea t the static p t t elect E transl vibu dignam diagonal...

Hamiltonians H Hot H t Ha test Ea t the static p t t elect E transl vibu dignam diagonal dynamic offdiag disgs describes yf Y effosfftractoe change on site energy in Polaronic effort ftp.fdh.FI teasterest Letson i Tanffaman in polite.e E 7 E 40 met a 10 In org SCs doped with traps he decreases but can increase again due to percolation of charges through the dopant sites The charge carrier mobility in usually determined by the strength of E coupling disorder and between hoping sites the c geometric reorganisation energy increase structural oederl EIIIIIEI.tthave 0,1 Ho sites iera that eat r Polyu films excimer fluor e hole traps Gaussian distrib of SDM formalism happily sites AE bonnet E 0.4cL a  Ism alignment RefII PTFE Teflon vapordeposition.at I Hado I hocuotter effect Light sources to measure photocurrent spectra  Electronic and Optical processes of Organissemicondnet 3.1 Devices Geometry Electric Current j eny. I I Injitig 4jeEinject.o unite Child's law bott Gurney Eg ee.pt fee.pt chag Space j Limited Defusing ladDtexcitatoon lifetime the injection barrier is For ideal interface workfunction the difference between the given by and the ionisation potential of the electrode Gay or é affinity of organic SC  In polymus p 10 civ s injection barrier 0,3 ev PEDOT PPS hole injectelectron 5,1 ell HOKO level should be Na lower than 5.4 EV Traps effective mobility Ei f steeples h Et Matt e In measure dostrib Janet Trap limited SCE of the current jiving l E 1 trap U plot is not linear for Gaussian f gj dog distrib ITO PPU An hole only Analysis of jute flee and joel TRAP Distribution Trap limited trap free transport Lngcarriers abrupt increase of Sth j field Fei Neff Fec Example diode 150mn the 4 4.10kcal traps Fp 50 3.1.3 Bipolar Space Charge Limited Current j ere jutty of Recombination is important Recombination coff 8 45 Rap Date Raif EE.tt Coulomb Captive Radius 8 8 4 14 Ohmic electrode maintains to be Ohaic support SCL 1 E and P's injected from electrodes ohmic recombine with unit probability for injector Limital j Charge careers get discharged instead of recombining at the electrodes qq.qg.gg t iii gap beta é and p transporting cites is Zev poorscreen ht is negligible need to inject charges be Work functin electro E of the trash Parameter of an cite Conductance D e h.pl 6 t 10 2 N'eat Example GaAs o th in o g 6 10 n cat 3 2.1 Fowler Nordheim Tunneling Injection Tunnel from the Ferrari level of th ke trough a triangular hatred I É jmttFY.int TI IiEidbsonisfschottky Thermionic Injection E induces image charge total potent Va o Ea iffy efx adf.ge jett KEIRSEY Ég ÉÉÉge exp hj.int Best LIII.EE t I F ar on ME but can depend p Experimentaltechnigue  1 The Time of Flight ten foot EFFIE photoexcitati knish ahsan a dielectri relaxation time Ta 86 77 to darfcond Rest is smaller than d Charge spread no deep trapping mobility is tim Independent I i i no problem with RC of the circuit tested on polymers holes crystals Trancientittage Discos dark injector I I y tiff to 0,78tha ng Many Rakauy RhysRev 121,1958 3 iheartyi ceasitaye Carrowextracyzy.gs For materials with dielectric relaxation times ttuau.it with non injecting contact Sandwitch type diode testimony 4 Field Effect Transistors FET 221 Itvs insulator s O Algo Ug unipolar capacitor charge M Iggy Id 4 Threshold voltage ch width inter chain tr 6 ÉpÉÉ orgnon roo h i tntorrires Ef.iq Free Electronic congii among sites is hessesang but not sufficient for chase transf disturbs the transport Scatter Vibration Phonon coupling thanges the distrib of K J E viler couple destroys hand model what the Energy inter site coup Hamiltonian 42 11s Polarouiceffety the charge Nature of transfer is determined by Tun Ho si f u Band transport He Polaronic transport Ha H Marcus type transport Disorder Controlled transport Hy Bandtransport Ju na Propagating Block wave scatter t.me I W tout e have width µ egg eggy 9 0,6 uh I dot by Jum He 5am V s OL has  Hoppingtransporf Band of delocalised I is destroyed Has the non coherent transfer events delocalised Frenkel excitous Polaronictransport and Austin Pioneered by Mott E couple is small Homo and Lumo of adjacent molec compared to E phonon coupe thick dg jÉ intern.ec and polarisation effects displaced between theolecules alter Vdu energy the charges form a polarou intersite polaron hopping Hopping rate KEEVae.TT art É Mobility VEI.ierl EE t.EE 3 Arrhenius type a t 223 2am decal distributed by EE.it EITas saunas stem from Vow Stel É exp Eg couplings between the cites 227  abrahaa typpimpolaoonictraasro t.imgiller Model iffy ftatige.ae wi Oo I exp 28 ri exp Et 9 9 1 attempt to hop Eje freq Effective Medium approach to mobilities yield macroscopic quasi equil asymptote easy e E 6 Width of DOS 1 gees f een 1 Tim dependent energetic relaxation E ahh Dispersive transport fifteen's ii of chargecarries decreases with time Scheer Montroll Probability of a charge to leave the site is hot exponential htt in time but 411 t octet e dispersion parent dostrobution waitin time t tett a 11 4 Photocurrent j f I tar tar effective transient tow Arrhenius M p exp C E non Field depind.at Pool France l laps TF 233 andDisoden SuperpositionefPolar Charge ch Geometry Geometry vet I Polaron Arrhenius te von EE e Marcus rate us Miller Abraham hopping rate hopping Parris of al theory of polaron disorder charge random dipoles coupling E 150 me U 6 80 ne polaron bindos Mp.eu EIr CID2 exp 0,7818 1 AVI C 0,31 Critical temp T separates polarou disorder controlled controlled and transport UTE CEE T Te Tat polaros disorder Trappingeffects M re Hoestrey Letson pep etc exp É Transport at high Aage densities Weaker temp den MIT at S T th Fernie because the transitions start too Level Morphology Transport Impact of on 241