Energetics of charged small metal particles

Universality of AC conductivity: Random site-energy model with Fermi statistics

“…Sometimes it is found that ⍀ ϰ / ͑0͒ gives better results, [17][18][19] but in other cases ⍀ ϰ / ͑0͒T does. 6,8 We show in Fig. 4 the effect of scaling the frequency with ͑0͒ only.…”

“…Sometimes it is found that ⍀ϰ / ͑0͒ [17][18][19] drastically increases the quality of the scaling curve as compared to ⍀ϰ / ͑0͒T. 6,8 The latter finding, ⍀ϰ / ͑0͒T, can be interpreted as a manifestation of the "Curie law" with C = ⌬⑀ ϳ 1/T. 1 However, it has been shown that ⌬⑀ can decrease with temperature much more rapidly than 1 / T. 20 In order to describe the frequency-dependent conductivity with quantitative models, the processes governing the response to an AC field are, in literature, distinguished in three different frequency regimes ͑Ref.…”

“…The construction of a master curve has been discussed quite extensively in literature [6][7][8][9][10][11] and basically starts from the following expression, which is often called the TaylorIsard scaling relation ͑Refs. 12 and 13͒:…”

Universality of ac conduction for generalized space-charge transport in ordered solids

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14] The frequency dependent conductivity is characterized by an approximate power law behavior ͑͒ ϰ s in which s is observed to be 0 Ͻ s ഛ 1. By rescaling the frequency dependent conductivity at various temperatures following Taylor-Isard scaling, master curves can be created that appear to be independent of the actual disordered material.…”

“…Nevertheless, this merely shifts the argument of striking generality as either of these critical limits thus always seems to be achieved experimentally, despite the wide range of sample parameters for which the universality is observed. [1][2][3][4][5][6][7][8][9][10][11][12][13][14] Although the implications of space charge are commonly included in the interpretation of I − V characteristics on insulating materials, this seems not to be the case in the field of ac conduction and only a few papers have pointed in this direction. 3,17 In this paper, we will demonstrate that the use of the drift-diffusion equations in combination with a realistic model for the ohmic contact is in fact sufficient to obtain an ac conductivity that follows ͑͒ϳ s with 0 Ͻ s ഛ 1 and that obeys Taylor-Isard scaling.…”