First Principles Calculations of Carbon-Nanotube and Boron-Nanotube Based Single Electron Transistors
Abstract
Low power consumption, small device size and better controlled onto the charge carriers are the factors, that made Single-electron transistor (SET) a suitable candidate for molecular electronics; yet there are some improvements that can be done in order to use it practically. The single electron transistor (SET) operates through the tunnelling of electron via two tunnel junctions. Choosing a suitable island material plays a key role in the tunnelling of electron through the tunnel junctions. In the present work, the First principle calculations of carbon-nanotube and boron-nanotube based Single-Electron Transistors have been performed. The three types of configurations of nanotubes i.e. zigzag (5,0), armchair (3,3) and chiral (4,2), of the smallest possible diameter (approximately 4A ),have been used. The calculations have been carried out using Atomistic toolkit (ATK-VNL) simulation package which is a density functional theory (DFT) based package. In the present work, local density approximations (LDA) as well as generalized gradient approximation(GGA) have been used to demonstrate the properties of nanotubes-based SET. These approaches have been implemented for a nanotube that is lying just above the gate dielectric. On the either side of the dielectric the electrodes are present, source in the left and drain in the right. The metallic electrodes made of gold (W=5.28eV) and the dielectric material of the dielectric constant have been used. The charging energies and additional energies of both types of nanotubes-based SET in the isolated as well as in the electrostatic environment have been calculated using the approximations. The calculated values of the charging energies in the electrostatic environment have been found to be less than the charging energies in isolated configuration that shows the renormalization of molecular energy levels. Variations of total energies against gate voltages and Charge stability diagrams (CSD) have been discussed.
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D. Darau, G. Begemann, A. Donarini, M. Grifoni, M. Grifoni, Physics Review B, 79(23), 235404 (2009), https://doi.org/10.1103/PhysRevB.79.235404.
T.A. Gschneidtner, Y.A. Diaz Fernandez and K. Moth-Poulsen, Progress in self-assembled single-molecule electronic devices, J. Materials Chemistry C, 1(43), 7127 (2013), https://doi.org/10.1039/C3TC31483A.
The Chip that Jack Built, Texas Instruments, accessed May 29, 2008.
G. Fiori, M. Pala and G. Iannaccone, IEEE Transactions on Nanotechnology, 4(4), 415-421 (2005), https://doi.org/10.1109/TNANO.2005.851284.
A. Chen, J. Hutchby, V. Zhirnov and G. Bourianoff, Emerging Nanoelectronics Devices, (John Wiley & Sons, 2015), pp. 540.
J. Wu, J. Min and Y. Taur, IEEE Transactions on Electron Devices”, 62(9), 3019–3024 (2015), https://doi.org/10.1109/TED.2015.2458977.
C. Bäuerle, D.C. Glattli, T. Meunier, F. Portier, P. Roche, P. Roulleau and X. Waintal, Reports on Progress in Physics, 81(5), 056503 (2018), https://doi.org/10.1088/1361-6633/aaa98a.
J. Jalil, Y. Zhu, C. Ekanayake and Y. Ruan, Nanotechnology, 28(14), 142002 (2017), https://doi.org/10.1088/1361-6528/aa57aa.
S.I. Garduño, A. Cerdeira, M. Estrada, J. Alvarado, V. Kilchystka and D. Flandre, J. Applied Physics, 109, 084524 (2011), https://doi.org/10.1063/1.3575324.
K.K. Likharev, Proceedings of the IEEE, 87, 606-632 (1999), https://doi.org/10.1109/5.752518.
M.L. Perrin, B. Enrique and H.S.J. van der Zant, Chemical Society Reviews 44, 902- 919 (2015), https://doi.org/10.1039/C4CS00231H.
Y. Takahashi, Y. Ono, A. Fujiwara and H. Inokawa, J. Physics. Condensed Matter, 14, 995 1033 (2002), https://doi.org/10.1088/0953-8984/14/39/201.
V.K. Hosseini, M.T. Ahmadi, S. Afrang and R. Ismail, J. Electron. Mater. 46(7), 4294–4298 (2017), https://doi.org/10.1007/s11664-017-5354-7.
V.V. Shorokhov, D.E. Presnov, S.V. Amitonov, Y.A. Pashkin and V.A. Krupenin, Nanoscale, 9, 613-620 (2017) https://doi.org/10.1039/C6NR07258E.
F. Wang, J. Fang, Sh. Chang, Sh. Qin, X. Zhang, H. Xu, Physics Letters A, 381, 476-480 (2017), https://doi.org/10.1016/j.physleta.2016.11.015.
V. Khadem Hosseini, M T. Ahmadi, S. Afrang and R. Ismail, J. Electron. Mater. 46, 4294-4298 (2017), https://doi.org/10.1007/s11664-017-5354-7.
Z.A.K. Durrani, Single-electron devices and circuits in silicon, (Imperial College Press, London, 2010).
F. Willy and Y. Darma, J. Physics: Conference Series, 739, 012048 (2016), https://doi.org/10.1088/1742-6596/739/1/012048.
K. Seike, Y. Kanai, Y. Ohno, K. Maehashi, K. Inoue and K. Matsumoto, Japanese Journal of Applied Physics, 54, 06FF05 (2015), https://doi.org/10.7567/JJAP.54.06FF05.
X. Yang, Y Ding and J. Ni, Physics Review B, 77, 041402(R), (2008), https://doi.org/10.1103/PhysRevB.77.041402.
D. Zhang, R. Zhu and C. Liu, J. Mater. Chem., 16, 2429-2433, (2006), https://doi.org/10.1039/B517480E.
A. Quandt and A.Y. Liu and I. Boustani, Physical Review B, 64, 125422 (2001), https://doi.org/10.1103/PhysRevB.64.125422.
D. Ciuparu, R.F. Klie, Y. Zhu and L. Pfefferle, J. Physical Chemistry B, 108, 3967-3969 (2004), https://doi.org/10.1021/jp049301b.
A. Quandt and I. Boustani, Chem. Phys. Chem. 6, 2001-2008 (2005), https://doi.org/10.1002/cphc.200500205.
V. Bezugly, J. Kunstmann, B. Grundkotter-Stock, T Frauenheim, T. Niehaus and G. Cuniberti, ACS Nano 5, 4997-5005 (2011), https://doi.org/10.1021/nn201099a.
F. Liu, C. Shen, Z. Su, X. Ding, S. Deng, J. Chen, N. Xuand and H. Gao, Jour. Mater. Chem. 20, 2197–2205 (2010), https://doi.org/10.1039/B919260C.
V. Bezugly, J. Kunstmann, B. Grundkotter-Stock, T. Frauenheim, T. Niehaus and G. Cuniberti, ACS Nano, 5, 4997-5005 (2011), https://doi.org/10.1021/nn201099a.
L.C. Qin, X. Zhao, K. Hirahara, Y. Miyamoto, Y. Ando and S. Iijima, Nature, 408, 50 (2000), https://doi.org/10.1038/35040699.
Atomistic Toolkit-Virtual Nanolab. Quantum wise A/S, http://quantumwise.com/
M. Brandbyge, J.L. Mozos, P. Ordejón, J. Taylor and K. Stokbro, Physical Review B, 65, 165401 (2002), https://doi.org/10.1103/PhysRevB.65.165401.
J. Robertson, The European Physical Journal-Applied Physics, 28, 265-291 (2004), https://doi.org/10.1051/epjap:2004206.
Synopsys Inc. Mountain, CA94043, http://docs.quantumwise.com/tutorials/work_function_ag_100/work_function_ag_100.html.
K.I. Hashim, J. Applied Mathematics and Physics, 6, 1324-1331 (2018), https://doi.org/10.4236/jamp.2018.66111.
K. Capelle, Brazillian Journal of Physics, 36, 1318-1343 (2006), http://dx.doi.org/10.1590/S0103-97332006000700035.
R. Nityananda, J. Science Education, 22(8), 809-811 (2017), https://doi.org/10.1007/s12045-017-0529-3.
U. Mordovina, T. E. Reinhard, I. Theophilou, H. Appel and A. Rubio, J. Chemical Theory and Computation, 15, 5209-5220 (2019), https://doi.org/10.1021/acs.jctc.9b00063.
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