Transient Currents in Dielectrics at Non-Linear Law of Single Injection

Abstract

The fentures of transient single-injection current behaviour in the presence of a single level of traps in the dielectric volume and a non-linear (exponential) law of charge carrier emission from the con1 act are considered. An exact numerical solution of the problem and approximated analytical expressions for thetime-dependent values of current, charge, space-charge centroid, freecrtrrier roncentration, and electric field on the injecting interface, E,, a t the section of E, screening itre obtained under conditions of autoelectronic emission. The problem is generalized to an arbitrary form of the exponential emission law. This form of the emission law is ascertained to result in a (l/t)-time dependence of the total current a t the section of E , screening. Methods of defining the transient current flow mechanism and the dielectric layer parameters based on the results of the analysis carried out are proposed. PaCC\IOTpeHLI OC06eHHOCTkI peJIaKCaUHH IlepeXoAHorO TOKa MOHOIIOXHpHO% EIHIKeHIW' I IIpIl HilJIHYMH MOHO3HepreTHqeCHHX JIOByIIIeIc B o6'beMe HH3JIeKTpMKa PI HeJIMHefiHOM (3fiCllOI[eHUHaJIbHoM) 3aHOHe 3MHCCMH HOCHTeJIeR 3apcIAa C KOHTBHTa. H a IIpMMepe a€iTO.J.iIC' KTpOHHOfi 3WHCCHH IIoJlyYeHO TOqHOe YHCJIeHHOe PeIIIeHMe 3 a R a s H kI n p n 6 n~-XelIHbI(' alIaJIHTHYeCHHe BbIpaWeHHJX, OnMCbIBafOLUMe M3MeHeHHe BO BpeMeIIH T O K a , rlJaHHUC! E , IIa yYacTHe 3KpaHHpoBaHMfI E,. BaAaYa 0606we~a Ha IIpOH3BOJILHbIfi B M A 3K;CIIOH~'IlUllaJIbHO~O 3aKOHa 3MMCCMH. BbIJIO yCTZlHOBJIeH0, YTO TaIEOfi BHH 3aKOHa 3&IIICCIII$ Il1)HBORPIT K 3aBHCHMOCTH IIOjIIIOrO TOHB OT BpeMeHH t THIIa (l/t) I r a YqaCTKe aapma , q e a~p o~n a , IiomeHTpaium CB060AHblX IIocaTeneii M I I O J I~ Ha nHweKTapymue% x:parII. ipoear-rEIR>oBamifl E,. IIpeAnomeIra MeToRHKa onpeReneHHcI ~e x a~m~a pexaKcawm ToICa H napawwpoe CJIOJX ~r n s n e~~p~~a , 6a3~pyroqacic~ Ha p e 3 y m~a~a x npoBezeaHoro a11am3a.