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PhD thesis - Evans Research Group - University of Wisconsin-Madison

PhD thesis - Evans Research Group - University of Wisconsin-Madison

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8flat band voltage in an OFET is operated in accumulation mode.Transistors operate in the linear regime when the difference between the gate voltage andthreshold voltage is much larger than the source-drain voltage. In this regime, I Dlinincreases linearly with V G according to:WIDlin= μ Ci( VG−VT) VD(1.3)LIn the linear regime, the conductivity <strong>of</strong> carriers induced in the channel depends on thecharge concentration and the mobility according to the equation.σ □ =1/R s =neµ (1.4)Here, σ □ is sheet conductance and n represents two dimensional density <strong>of</strong> charge carriers.R s is sheet resistance. In the linear regime, when V G >V T , the charge carriers induced aremobile and the density can be expressed as:Cgd ( VG−VT)n = (1.5)eIn the linear regime, mobility, µ, can be expressed by:1R 1= =ne Cssμ (1.6)gd1dRdVGIn equation 1.6, µ was calculated based on the assumption that µ is independent <strong>of</strong> twodimensional density <strong>of</strong> mobile carriers induced by V G . In some cases, the mobility <strong>of</strong>charge carriers depends on the gate voltage, which is contradictory to the assumption [41,43]. As gate voltage increases the mobility increases in previously reported literature [44].This gate voltage dependence <strong>of</strong> mobility has been predicted by multiple trapping andrelease (MTR) [45] and charge transport models based on hopping between localized states

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