2016
DOI: 10.1007/978-3-319-25571-2
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Charge and Spin Transport in Disordered Graphene-Based Materials

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Cited by 28 publications
(9 citation statements)
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“…Therefore, to fit the experimental data reported in Figure c successfully, the IPE theory must be modified properly. By following Elabd’s approach within the zero temperature approximation, the total number of possible excited states for holes is given by N T = ∫ 0 hν D ( E )·d E (see Figure c), where is the density of states (DOS) of graphene, E is the hole energy with reference to the Fermi level, ℏ is the reduced Planck constant, v F is the Fermi velocity and the integral is over the range from 0 to the energy of the incoming photons, which is h ν. In addition, the number of states N from which the hole emission across the barrier q Φ B 0 may occur is N = ∫ q ϕ B 0 hν D ( E )· P ( E )·d E , where P ( E ) is the emission probability.…”
Section: Results and Discussionmentioning
confidence: 99%
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“…Therefore, to fit the experimental data reported in Figure c successfully, the IPE theory must be modified properly. By following Elabd’s approach within the zero temperature approximation, the total number of possible excited states for holes is given by N T = ∫ 0 hν D ( E )·d E (see Figure c), where is the density of states (DOS) of graphene, E is the hole energy with reference to the Fermi level, ℏ is the reduced Planck constant, v F is the Fermi velocity and the integral is over the range from 0 to the energy of the incoming photons, which is h ν. In addition, the number of states N from which the hole emission across the barrier q Φ B 0 may occur is N = ∫ q ϕ B 0 hν D ( E )· P ( E )·d E , where P ( E ) is the emission probability.…”
Section: Results and Discussionmentioning
confidence: 99%
“…By following the Elabd's approach [39], in the zero temperature approximation, the total number of possible excited states for holes is as shown in the down inset of Fig. 8, where [52] is the graphene density of state (DOS), E is the hole energy referred to the Fermi level, the Plank constant, v F the Dirac velocity and hν the energy of the incoming photons. On the other hand, the number of states N from which hole emission across the barrier Φ B may occur is where P(E) is the emission probability.…”
Section: Figurementioning
confidence: 99%
“…Unlike metals, Graphene shows a density-of-state function D(E) linearly dependent on the energy according to the formula: D E ðÞ ¼ 2|E| nℏ 2 v 2 F [38], where ℏ is the reduced Plank constant and v F is the Fermi velocity. On the other hand, as discussed in Ref.…”
Section: Theoretical Backgroundmentioning
confidence: 99%
“…According to quantum tunneling effects, electron wave function can easily penetrate through atomically thin tunneling barrier but barrier height seems to be higher to be overcome by thermal energy so the conduction mechanism needs to be elucidated [25,29]. For better understanding, we have carefully investigated Region I in which we have noticed that under low voltage range 0 < V < 4 V thermionic leakage current of few nA flows pertaining to residual defects in sheets as displayed in figure 7(b).…”
Section: I-v Characteristicsmentioning
confidence: 99%