2011
DOI: 10.1103/physrevlett.106.186602
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Slow Conductance Relaxation in Insulating Granular Al: Evidence for Screening Effects

Abstract: It is shown that the conductance relaxations observed in electrical field effect measurements on granular Al films are the sum of two contributions. One is sensitive to gate voltage changes and gives the already reported anomalous electrical field effect. The other one is independent of the gate voltage history and starts when the films are cooled down to low temperature. Their relative amplitude is strongly thickness-dependent which demonstrates the existence of a finite screening length in our insulating fil… Show more

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Cited by 16 publications
(33 citation statements)
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“…The similar trend is seen in granular Al films [43]. Indeed samples of thickness 10 and 20 nm having similar preexponential factors in (4) have activation energies different by approximately the factor of 2 [43], i.e. for G 0 ≈ 0.8 · 10 −5 one has * 10 /k B = 31 K and * 20 /k B = 14 K, while for C 0 ≈ 0.18 · 10 −5 one has * 10 /k B = 57 K and * 20 /k B = 23 K, respectively.…”
Section: Field Confinementsupporting
confidence: 79%
See 1 more Smart Citation
“…The similar trend is seen in granular Al films [43]. Indeed samples of thickness 10 and 20 nm having similar preexponential factors in (4) have activation energies different by approximately the factor of 2 [43], i.e. for G 0 ≈ 0.8 · 10 −5 one has * 10 /k B = 31 K and * 20 /k B = 14 K, while for C 0 ≈ 0.18 · 10 −5 one has * 10 /k B = 57 K and * 20 /k B = 23 K, respectively.…”
Section: Field Confinementsupporting
confidence: 79%
“…Also the activation energy should decrease when the sample thickness increases, see (3). The similar trend is seen in granular Al films [43]. Indeed samples of thickness 10 and 20 nm having similar preexponential factors in (4) have activation energies different by approximately the factor of 2 [43], i.e.…”
Section: Field Confinementsupporting
confidence: 68%
“…The relative amplitude of the relaxation increases with R s but no significant difference was observed between 12.5nm and 2.5nm thick films of similar R s (see the insert of Figure 1). This is qualitatively similar to what is seen in indium oxide [18][19][20] and granular Al thin films [10,17].…”
supporting
confidence: 86%
“…In 2.5 nm thick films, the relaxation slope at 30 V is at least 5 times smaller than at 0 V, which means that L sc is of the order or larger than 2.5 nm. In granular Al films, a screening length of about 10 nm was extracted from 20 and 100 nm thick films background relaxations, which was found to be roughly constant with R s in the samples investigated, probably due to the granular nature of the system [28].…”
Section: Background Relaxations and Screening Length Valuesmentioning
confidence: 85%
“…Assuming that the relaxation modes are homogeneously distributed throughout the thickness of the films (see Figure 4), the G vs. ln(t) relaxation slopes should be proportional to the thickness of the relaxing layer, i.e. T h when measured at V geq and (T h − L sc ) far enough from V geq when the slope is (almost) V g -independent [28]. By comparing the G vs. ln(t) relaxation slopes at V geq = 0V and at 30V in our 12.5 nm thick films, we get L sc estimates of 1.3 -1.9 nm for sample B3, 4 nm for B2 and 7 nm for B1 (the interatomic distance d N b−Si is around 0.26 nm [36]).…”
Section: Background Relaxations and Screening Length Valuesmentioning
confidence: 99%