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Scaling Effects in Organic Transistors and Transistor-Based Chemical Sensors   11


                       –25.0         5 μm (1)
                                     2 μm (2)
                                                    4
                       –20.0         1 μm (3)                 3
                                   500 nm (4)
                                   270 nm (5)                2
                       –15.0
                     I ds (μA)                  5
                       –10.0
                                                            1
                        –5.0


                        0.0
                    290 K   0        –10      –20       –30      –40
                    V  = –40 V                V  (V)
                     g
                                               ds
               FIGURE 1.6  Drain current as a function of source-to-drain voltage for different
               channel lengths. The characterization was taken at room temperature and
               high density of charge carriers (V =−40 V, well beyond threshold voltages of
                                       g
               each channel). For observation of the scaling behavior, the W/L ratios of all
               channels were kept at the same value of 10 in fabrication to exclude
               geometric factors. Clearly in the regime of V  < V − V , the current-voltage
                                                ds  g  th
               characteristic transitions from linear to superlinear upon scaling from micron
               to submicron channel length. For submicron channels there is an exponential
               dependence at very small V  due to the injection-limited transport through
                                    ds
               Schottky barrier at the metal-semiconductor contact. (Reprinted with
               permission from Ref. 60. Copyright 2007, American Institute of Physics.)
               (See also color insert.)

               the organic semiconductor excluding the geometry factors of the
               devices. When temperature decreases, as Fig. 1.5c and d shows, the
               I –V  curve becomes more superlinear for both long and short chan-
                d  ds
               nels. While the current level of a 5 μm channel markedly reduces at
               low temperatures, surprisingly the drain current of a 270 nm channel
               remains at the same level from 290 to 57 K.
                   In field-effect transistors using organic semiconductor as channel
               material, the charge transport occurs only within the first one or two
               monolayers of the organic semiconductor.  Furthermore, the gate-
                                                    49
               induced charges within the quasi-two-dimensional channel can be
               considered to be composed of the relatively free (mobile) charges in
               the channel, which contribute to the channel conductance, and the
               trapped charges on trapped levels within the energy gap, which do
               not contribute to the channel conductance and affect the mobility and
               threshold voltage of the transistor. The trap levels within the energy
               gap of organic semiconductors are the localized states that originate
               from disorder. For a polycrystalline thin-film layer of an organic
               semiconductor such as pentacene thermally sublimed in vacuum,
               most of the disorder is located at grain boundaries. Therefore for the
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