2012
DOI: 10.2478/s11534-012-0005-3
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Variable range hopping and/or phonon-assisted tunneling mechanism of electronic transport in polymers and carbon nanotubes

Abstract: Abstract:We review and compare two models recently used to describe electronic transport in polymer fibers/nanotubes and carbon nanotubes including graphene nanoribbons, namely, variable range hopping (VRH) in different versions and their modifications on the one hand and electric-field-induced phononassisted tunneling (PhAT) on the other hand. The VRH model is mainly approved on behalf of the results of temperature dependences. However, the field dependencies of the conductivity in the framework of this model… Show more

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Cited by 10 publications
(9 citation statements)
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“…5a and 5b, respectively. The negatively source-drain biased I ds − T curve at +7V g (red curve) can be fitted by a phonon-assisted tunnelling model [38]:…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…5a and 5b, respectively. The negatively source-drain biased I ds − T curve at +7V g (red curve) can be fitted by a phonon-assisted tunnelling model [38]:…”
Section: Resultsmentioning
confidence: 99%
“…4a, b , respectively. The negatively source–drain biased I ds – T curve at +7 V g (red curve) can be fitted by a phonon-assisted tunnelling model 38 : where , and Ω = (1 + γ 2 ) 1/2 , with α being a fitting parameter, E the electrical field strength, ε T the tunnel energetic depth, m * the electron effective mass, ħω the energy of the phonon taking part in the tunneling process, e and k B the element charge and Boltzmann’s constant, respectively. Using an effective mass of about 0.018 m e 39 , the best fit in the black solid line Fig.…”
Section: Discussionmentioning
confidence: 99%
“…In doped semiconductors, electronic conduction at low temperatures occurs through impurity states. In the case of heavily doped semiconductors, conduction occurs through the formation of an impurity band [ 25 , 26 ]. At low dopant concentrations, impurity states are localized and therefore electrons or holes migrate by hopping from occupied to unoccupied states with the assistance of phonons.…”
Section: Resultsmentioning
confidence: 99%
“…At low dopant concentrations, impurity states are localized and therefore electrons or holes migrate by hopping from occupied to unoccupied states with the assistance of phonons. This process is heavily dependent on thermal activation, and therefore at low temperatures there is a sharp decrease in electrical conductivity [ 23 , 25 , 26 ]. Accordingly, the Steinhart–Hart model is a good fit for the experimental data, particularly in the 250–400 °C range, below which there is considerable deviation from the measured data.…”
Section: Resultsmentioning
confidence: 99%
“…Therefore, the ES-VRH mechanism cannot be ignored. 15 Simultaneously, there occurs phonon-assisted carrier hopping in local states, 18,19 indicating that thermal activation is also one of the main mechanisms. When the Yb 3+ doping amount is large (x = 0.2), the carriers are mainly transported in the layered CeNbO 4 -rich phase.…”
Section: Electrical Propertiesmentioning
confidence: 99%