Scaling of the Electrical Conductivity of Ultrathin Amorphous Palladium Films

Liu, Y.; Nease, B.; McGreer, K.A.; Goldman, A. M.

doi:10.1209/0295-5075/19/5/011

Cited by 20 publications

(14 citation statements)

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“…The temperature dependence of the resistance has been studied in ultrathin quench-condensed films of Ag, Bi, Pd [8] and Pb [24,25]. The films were deposited on liquid helium cooled substrates and resistance measurements were performed in situ at temperatures down to 0.15K.…”

Section: Experimental Methodsmentioning

confidence: 99%

“…Efros and Shklovskii (ES) showed that including Coulomb interactions between electrons results in a soft gap in the density of states at the Fermi energy, which changes the variable range hopping exponent to x = 1/2 in all dimensions [2]. Hopping conduction has been investigated in a wide variety of materials, such as doped semiconductors [3,4], semiconducting heterostructures [5], amorphous metals [6][7][8][9][10], magnetic materials [11] and superconductors [12]. Both the Mott and the ES forms of variable range hopping have been observed, as well as a crossover between the two regimes [5,6].…”

Section: Introductionmentioning

confidence: 99%

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Anomalous hopping exponents of ultrathin metal films

et al. 2000

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The temperature dependence of the resistance R(T ) of ultrathin quench-condensed films of Ag, Bi, Pb and Pd has been investigated. In the most resistive films films, R(T ) = R0 exp (T0/T ) x , where x = 0.75 ± 0.05. Surprisingly, the exponent x was found to be constant for a wide range of R0 and T0 in all four materials, possibly implying a consistent underlying conduction mechanism. The results are discussed in terms of several different models of hopping conduction.

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Section: Experimental Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Anomalous hopping exponents of ultrathin metal films

et al. 2000

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“…In several studies of two-and three-dimensional systems, 17,20,41,42,60,77,78 but by far not in all such investigations, the identification of insulating samples has been facilitated by empirical scaling of s(T, x D const.) curves,…”

Section: Breakdown Of Scaling Of T Dependences Of σmentioning

confidence: 99%

“…(5) very likely indicates the transition; for a detailed reasoning see Appendix B. This criterion has a great advantage over the approaches discussed in the previous subsections: In a scaling analysis, the reduced temperature, T/T 0 , may vary over several orders of magnitude, compare Figure 4 in M€ obius et al 20 and Figure 2 in Liu et al 77 Thus, the reliability of s(T ! 0) extrapolations and the trustworthiness of sample classifications close to the MIT can be considerably improved by utilizing the scaling relation Eq.…”

Section: Breakdown Of Scaling Of T Dependences Of σmentioning

confidence: 99%

“…41,60 In its general form, the scaling relation Eq. (5) to hold can be concluded from experimental data for a set of k samples either by a master curve construction 20,77,78 or by checking whether or not d ln s/d ln T is a function of s alone. 60 The former approach requires adjusting the quotients of the T 0 values for (k ¡1) pairs of samples by means of rescaling T, while the latter procedure is parameter-free.…”

Section: Breakdown Of Scaling Of T Dependences Of σmentioning

confidence: 99%

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The metal-insulator transition in disordered solids: How theoretical prejudices influence its characterization A critical review of analyses of experimental data

Möbius

2018

Critical Reviews in Solid State and Materials Sciences

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In a recent experimental study, Siegrist et al. [Nature Materials 10, 202-208 (2011)] investigated the metal-insulator transition (MIT) induced by annealing in GeSb 2 Te 4 . The authors concluded that this phase-change material exhibits a discontinuous MIT with finite minimum metallic conductivity. The striking contrast between their work and reports on many other disordered substances from the last decades motivates the present in-depth study of the influence of the MIT criterion used on the character of the MIT derived.First, we discuss in detail the inherent biases of various approaches to locating the MIT. Second, reanalyzing GeSb 2 Te 4 data, we show that this material resembles other disordered solids to a large extent: according to a widely-used approach, its temperature dependences of the conductivity, s(T ), may likewise be interpreted in terms of a continuous MIT. Third, examining previous experimental studies of crystalline Si:As, Si:P, Si:B, Ge:Ga, CdSe:In, n-Cd 0:95 Mn 0:05 Se, Cd 0:95 Mn 0:05 Te 0:97 Se 0:03 :In, disordered Gd, and nanogranular Pt-C, we detect substantial problems in the interpretations of s(T ) in numerous studies which claim the MIT to be continuous: Evaluating the logarithmic derivative d ln s/d ln T highlights serious inconsistencies. In part, they are common to all such studies and seem to be generic, in part, they vary from experiment to experiment. Fourth, for four qualitatively different phenomenological models of the temperature and control parameter dependence of the conductivity, we present the respective flow diagrams of d ln s/d ln T. In consequence, the likely generic inconsistencies seem to originate from the MIT being discontinuous, in contradiction to most of the original interpretations.Because of the large number and diversity of the experiments considered, these inconsistencies provide overwhelming evidence against the common, localization theory motivated interpretations. The primary challenges now lie in improving measurement precision and accuracy, rather than in extending the temperature range, and in developing a microscopic theory which explains the seemingly generic features of d ln s/d ln T.

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Low-temperature dephasing in disordered conductors: experimental aspects

Gershenson¹

1999

Ann. Phys.

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What is the lowest temperature to which one can trace the growth of the dephasing time τϕ in low-dimensional conductors? I consider the fundamental limitation, the crossover from weak to strong localization, as well as several experimental reasons for frequently observed saturation of τϕ (hot-electron effects, dephasing by external noise). Recent progress in our understanding of the electron-phonon interaction in disordered conductors is also briefly discussed.

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Scaling of the Electrical Conductivity of Ultrathin Amorphous Palladium Films

Cited by 20 publications

References 18 publications

Anomalous hopping exponents of ultrathin metal films

Anomalous hopping exponents of ultrathin metal films

The metal-insulator transition in disordered solids: How theoretical prejudices influence its characterization A critical review of analyses of experimental data

Low-temperature dephasing in disordered conductors: experimental aspects

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