We evaluate the effect of the recombination associated with interlayer transitions in ungated and gated double-graphene-layer (GL) structures on the injection of electrons and holes. Using the proposed model, we derive analytical expressions for the spatial distributions of the electron and hole Fermi energies and the energy gap between the Dirac points in GLs as well as their dependences on the bias and gate voltages. The current-voltage characteristics are calculated as well. The model is based on hydrodynamic equations for the electron and hole transports in GLs under the self-consistent electric field. It is shown that in undoped double-GL structures with weak scattering of electrons and holes on disorder, the Fermi energies and the energy gap are virtually constant across the main portions of GLs, although their values strongly depend on the voltages and recombination parameters. In contrast, the electron and hole scattering on disorder lead to substantial nonuniformities. The resonant inter-GL tunneling enables N-shaped current-voltage characteristics provided that GLs are sufficiently short. The width of the current maxima is much larger than the broadening of the tunneling resonance. In the double-GL structures with relatively long GLs, the N-shaped characteristics transform into the Z-shaped characteristics. The obtained results are in line with the experimental observations [Britnell et al., Nat. Commun. 4, 1794–1799 (2013)] and might be useful for design and optimization of different devices based on double-GL structures, including field-effect transistors and terahertz lasers.
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14 January 2014
Research Article|
January 14 2014
Double injection, resonant-tunneling recombination, and current-voltage characteristics in double-graphene-layer structures
M. Ryzhii;
M. Ryzhii
1
Department of Computer Science and Engineering, University of Aizu
, Aizu-Wakamatsu 965-8580, Japan
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V. Ryzhii;
V. Ryzhii
2
Research Institute for Electrical Communication, Tohoku University
, Sendai 980-8577, Japan
3
Institute of Ultra High Frequency Semiconductor Electronics
, Russian Academy of Sciences, Moscow 111005, Russia
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T. Otsuji;
T. Otsuji
2
Research Institute for Electrical Communication, Tohoku University
, Sendai 980-8577, Japan
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P. P. Maltsev;
P. P. Maltsev
3
Institute of Ultra High Frequency Semiconductor Electronics
, Russian Academy of Sciences, Moscow 111005, Russia
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V. G. Leiman;
V. G. Leiman
4
Moscow Institute of Physics and Technology
, Dolgoprudny, Moscow Region 141700, Russia
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N. Ryabova;
N. Ryabova
1
Department of Computer Science and Engineering, University of Aizu
, Aizu-Wakamatsu 965-8580, Japan
5
Center for Photonics and Infrared Engineering, Bauman Moscow State Technical University
, Moscow 105005, Russia
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V. Mitin
V. Mitin
6
Department of Electrical Engineering, University at Buffalo
, Buffalo, New York 1460-1920, USA
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J. Appl. Phys. 115, 024506 (2014)
Article history
Received:
December 17 2013
Accepted:
December 26 2013
Citation
M. Ryzhii, V. Ryzhii, T. Otsuji, P. P. Maltsev, V. G. Leiman, N. Ryabova, V. Mitin; Double injection, resonant-tunneling recombination, and current-voltage characteristics in double-graphene-layer structures. J. Appl. Phys. 14 January 2014; 115 (2): 024506. https://doi.org/10.1063/1.4861734
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