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Study of radiation damage in silicon detectors for high ... - F9

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100 6. Inuence <strong>of</strong> Bias VoltageFigure 6.11: Arrhenius plots <strong>for</strong> a) fast and b) slow component <strong>of</strong> the anneal<strong>in</strong>g <strong>of</strong> the dierencebetween biased and unbiased samples.where t 0 is the time <strong>of</strong> switch<strong>in</strong>g the bias o. Agreement <strong>of</strong> the t with the measurementscan be seen <strong>in</strong> gures 6.8b to 6.9b and t results are given <strong>in</strong> the table 6.3.orTo determ<strong>in</strong>e activation energies <strong>for</strong> both processes, the Arrhenius relation(T )= 0 e Eak B T(6.3)ln (T )=ln 0 + 1k B T E a (6.4)is used. If one plots ln((T )) versus 1=k B T (Arrhenius plot), the activation energy canbe determ<strong>in</strong>ed as the slope (g. 6.11). One obta<strong>in</strong>s an activation energy <strong>of</strong> E 1 =0:54 0:15 eV <strong>for</strong> the fast component and E 2 = 0:47 0:15 eV <strong>for</strong> the slow one. Those arehowever only very prelim<strong>in</strong>ary results and further studies are necessary to obta<strong>in</strong> properunderstand<strong>in</strong>g <strong>of</strong> the described processes and to determ<strong>in</strong>e their parameters with betterprecision.The conclusion that the activation energies <strong>of</strong> bias dependent defects are signicantlylower than the activation energy <strong>for</strong> reverse anneal<strong>in</strong>g (about 1.3 eV [13, 14, 15])can also be seen from gures 6.7a to 6.9a. At 20 C, the eect <strong>of</strong> decreas<strong>in</strong>g <strong>of</strong> the slowcomponent <strong>of</strong> bias-eect anneal<strong>in</strong>g is comparable to the eect <strong>of</strong> reverse anneal<strong>in</strong>g (seeg. 6.9a). This is however not the case <strong>for</strong> the samples at lower temperatures (5 C and-7 C). At those temperatures reverse anneal<strong>in</strong>g is frozen on the time scale <strong>of</strong> bias-eectanneal<strong>in</strong>g (gures 6.7a and 6.8a). The decay constant <strong>of</strong> the slow component at -7 C

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