Abstract
We study the impact of electron–phonon interaction on the subthreshold operation region of Tunnel-FETs by means of full-quantum simulations. Our approach is based on the nonequilibrium Green’s function method, where acoustic and optical phonon scatterings are taken into account through the self-consistent Born approximation. Two device architectures are analyzed: InAs nanowire longitudinal Tunnel-FETs, and 2D vertical Tunnel-FETs based on either an GaSb/AlSb/InAs heterostructure or a MoS\(_2\)/WTe\(_2\) van der Waals heterojunction. In InAs nanowire Tunnel-FETs with interface traps, electron–phonon interaction deteriorates the subthreshold swing by allowing trap-assisted tunneling at energies higher than the valence-band edge in the source. In vertical heterojunction Tunnel-FETs, optical phonon scattering increases the OFF current by inducing inelastic transition in the overlap region even in the absence of traps.
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References
Lundstrom, M.S.: Fundamentals of Carrier Transport. Addison Wesley, New York (1990)
Esseni, D., Palestri, P., Selmi, L.: Nanoscale MOS Transistors: Semi-classical Modeling and Applications. Cambridge University Press, Cambridge (2011)
Esseni, D., Pala, M., Rollo, T.: Essential physics of the OFF-state current in nanoscale MOSFETs and tunnel FETs. IEEE Trans. Electron Dev. 62(9), 3084 (2015). doi:10.1109/TED.2015.2458171
Seabaugh, A., Zhang, Q.: Low-voltage tunnel transistors for beyond CMOS logic. Proc. IEEE 98(12), 2095 (2010). doi:10.1109/JPROC.2010.2070470
Ionescu, A.M., Riel, H.: Tunnel field-effect transistors as energy-efficient electronic switches. Nature 479(9), 329 (2011). doi:10.1038/nature10679
Lu, H., Seabaugh, A.: Tunnel field-effect transistors: state-of-the-art. J. Electron Dev. Soc. 2(4), 44 (2014). doi:10.1109/JEDS.2014.2326622
Dewey,G., Chu-Kung,B., Boardman,J., Fastenau,J.M., Kavalieros,J.,Kotlyar,R., Liu,W.K., Lubyshev, D., Metz, M., Mukherjee, N., Oakey,P., Pillarisetty, R., Radosavljevic, M., Then, H.W., Chau R.: Fabrication, characterization, and physics of III–V heterojunctiontunneling Field Effect Transistors (H-TFET) for steep sub-thresholdswing. In: IEEE IEDM Technical Digest, pp. 33.6.1–33.6.4 (2011). doi:10.1109/IEDM.2011.6131666
Gandhi, R., Chen, Z., Singh, N., Banerjee, K., Lee, S.: CMOS-compatible vertical-silicon-nanowire gate-all-around p-type tunneling FETs With 50 mV/decade subthreshold swing. Electron Dev. Lett. IEEE 32(11), 1504 (2011). doi:10.1109/LED.2011.2165331
Huang, Q, Huang, R., Zhan, Z., Qiu, Y., Jiang, W., Wu, C., Wang, Y.: A novel Si tunnel FET with 36mV/dec subthreshold slope based on junction depleted-modulation through striped gate configuration. In: 2012 IEEE International Electron Devices Meeting (IEDM), pp. 8.5.1–8.5.4 (2012). doi:10.1109/IEDM.2012.6479005
Tomioka, K., Yoshimura, M., Fukui, T.: Steep-slope tunnel field-effect transistors using III–V nanowire/Si heterojunction. In: VLSI Technology (VLSIT), 2012 Symposium on (2012), pp. 47–48. doi:10.1109/VLSIT.2012.6242454
Ganjipour, B., Wallentin, J., Borgstrm, M.T., Samuelson, L., Thelander, C.: Tunnel field-effect transistors based on InP-GaAs heterostructure nanowires. ACS Nano 6(4), 3109 (2012). doi:10.1021/nn204838m
Noguchi, M., Kim, S., Yokoyama, M., Ji, S., Ichikawa, O., Osada, T., Hata, M., Takenaka, M., Takagi, S.: High Ion/Ioff and low subthreshold slope planar-type InGaAs tunnel FETs with Zn-diffused source junctions, In: 2013 IEEE International Electron Devices Meeting (IEDM), pp. 28.1.1–28.1.4 (2013). doi:10.1109/IEDM.2013.6724707
Sarkar, D., Xie, X., Liu, W., Cao, W., Kang, J., Gong, Y., Kraemer, S., Ajayan, P.M., Banerjee, K.: A subthermionic tunnel field-effect transistor with an atomically thin channel. Nature 526(7571), 91 (2015). doi:10.1038/nature15387
Khayer, M.A., Lake, R.K.: Effects of band-tails on the subthreshold characteristics of nanowire band-to-band tunneling transistors. J. Appl. Phys. 110(7), 074508 (2011). doi:10.1063/1.3642954
Mookerjea, S., Mohata, D., Mayer, T., Narayanan, V., Datta, S.: Temperature-dependent I–V characteristics of a vertical \({\rm In}_{0.53}{\rm Ga}_{0.47}{\rm As}\) tunnel FET. IEEE Electron Dev. Lett. 31(6), 564 (2010). doi:10.1109/LED.2010.2045631
Pala, M., Esseni, D., Conzatti, F.: Impact of interface traps on the IV curves of InAs Tunnel-FETs and MOSFETs: a full quantum study. In: IEEE IEDM Technical Digest, pp. 6.6.1–6.6.4 (2012). doi:10.1109/IEDM.2012.6478992
Koswatta, S., Lundstrom, M., Nikonov, D.: Influence of phonon scattering on the performance of p-i-n band-to-band tunneling transistors. Appl. Phys. Lett. 92(4), 043125 (2008). doi:10.1063/1.2839375
Pala, M., Esseni, D.: Interface traps in InAs nanowire tunnel-FETs and MOSFETs—Part I: model description and single trap analysis in tunnel-FETs. IEEE Trans. Electron Dev. 60(9), 2795 (2013). doi:10.1109/TED.2013.2274196
Esseni, D., Pala, M.: Interface Traps in InAs Nanowire Tunnel FETs and MOSFETs – Part II: Comparative Analysis and Trap-Induced Variability. IEEE Trans. Electron Dev. 60(9), 2802 (2013). doi:10.1109/TED.2013.2274197
Datta, S.: Quantum Transport—Atom to Transistor. Cambridge University Press, Cambridge (2005)
Venugopal, R., Ren, Z., Datta, S., Lundstrom, M.S., Jovanovic, D.: Simulating quantum transport in nanoscale transistors: Real versus mode-space approaches. J. Appl. Phys. 92(7), 3730 (2002). doi:10.1063/1.1503165
Poli, S., Pala, M., Poiroux, T., Deleonibus, S., Baccarani, G., Trans, I.E.E.E.: Size dependence of surface-roughness-limited mobility in Silicon-nanowire FETs. Electron Dev. 55(11), 2968 (2008). doi:10.1109/TED.2008.2005164
Shin, M.: Full-quantum simulation of hole transport and band-to-band tunneling in nanowires using the k\(\cdot {}\)p method. J. Appl. Phys. 106(5), 054505 (2009). doi:10.1063/1.3208067
Mahan, G.: Many-Particle Physics. Plenum Press, New York (1990)
Rogdakis, K., Poli, S., Bano, E., Zekentes, K., Pala, M.: Phonon and surface roughness limited mobility of gate-all-around 3C-SiC and Si nanowire FETs. Nanotechnology 20(29), 295202 (2009). http://stacks.iop.org/0957-4484/20/i=29/a=295202
Ferry, D., Goodnick, S.: Transport in Nanostructures. Cambridge University Press, Cambridge (1997)
Anantram, M.P., Lundstrom, M.S., Nikonov, D.E.: Modeling of Nanoscale Devices. Proc. of IEEE 96, 1511 (2008). doi:10.1109/JPROC.2008.927355
Lopez Sancho, M.P., Lopez Sancho, J.M., Rubio, J.: Quick iterative scheme for the calculation of transfer matrices: application to Mo (100). J. Phys. F 14, 1205 (1984). doi:10.1088/0305-4608/14/5/016
Luisier, M., Klimeck, G.: Atomistic full-band simulations of silicon nanowire transistors: effects of electron-phonon scattering. Phys. Rev. B 80, 155430 (2009). doi:10.1103/PhysRevB.80.155430
Bahder, T.B.: Eight-band k\(\cdot {}\)p model of strained zinc-blende crystals. Phys. Rev. B 41(17), 11992 (1990). doi:10.1103/PhysRevB.41.11992
Luisier, M., Klimeck, G.: Atomistic full-band design study of InAs band-to-band tunneling field-effect transistors. IEEE Electron Dev. Lett. 30(6), 602 (2009). doi:10.1109/LED.2009.2020442
Luisier, M., Klimeck, G.: Simulation of nanowire tunneling transistors: from the Wentzel–Kramers–Brillouin approximation to full-band phonon-assisted tunneling. J. Appl. Phys. 107(8), 084507 (2010). doi:10.1063/1.3386521
Avci, U., Hasan, S., Nikonov, D., Rios, R., Kuhn, K., Young, I.: Understanding the feasibility of scaled III-V TFET for logic by bridging atomistic simulations and experimental results. In: 2012 Symposium on VLSI Technology (VLSIT), pp. 183–184 (2012). doi:10.1109/VLSIT.2012.6242522
Shin, M., Lee, S., Klimeck, G.: Computational study on the performance of Si nanowire pMOSFETs based on the k \(\cdot \) p method. IEEE Trans. Electron Dev. 57(9), 2274 (2010). doi:10.1109/TED.2010.2052400
Conzatti, F., Pala, M., Esseni, D., Bano, E., Selmi, L.: Strain-induced performance improvements in InAs nanowire tunnel FETs. IEEE Trans. Electron Dev. 59(8), 2085 (2012). doi:10.1109/TED.2012.2200253
Fischetti, M.V.: Monte Carlo simulation of transport in technologically significant semiconductors of the Diamond and Zinc-Blende structures - Part I: homogeneous transport. IEEE Trans. Electron Dev. ED–38, 634 (1991). doi:10.1109/16.75176
Vurgaftman, I., Meyer, J.R., Ram-Mohan, L.R.: Band parameters for III–V compound semiconductors and their alloys. J. Appl. Phys. 89(11), 5815 (2001). doi:10.1063/1.1368156
Veprek, R.G., Steiger, S., Witzigmann, B.: Ellipticity and the spurious solution problem of k\(\cdot {}\)p envelope equations. Phys. Rev. B 76, 165320 (2007). doi:10.1103/PhysRevB.76.165320
Mookerjea, S., Mohata, D., Krishnan, R., Singh, J., Vallet, A-, Ali, A., Mayer, T., Narayanan, V., Schlom, D., Liu, A., Datta, S.: Experimental demonstration of 100nm channel length In\(_{0.53}\)Ga\(_{0.47}\)As-based vertical inter-band tunnel Field Effect Transistors (TFETs) for ultra low-power logic and SRAM applications. In: IEEE IEDM Technical Digest, pp. 949–952 (2009). doi:10.1109/IEDM.2009.5424355
Brocard, S., Pala, M., Esseni, D.: Design options for hetero-junction tunnel FETs with high on current and steep sub-threshold voltage slope. In: Electron Devices Meeting (IEDM), 2013 IEEE International, pp. 5.4.1–5.4.4 (2013) doi:10.1109/IEDM.2013.6724567
Mingda, L., Esseni, D., Snider, G., Jena, D., Xing, H.G.: Single particle transport in two-dimensional heterojunction interlayer tunneling field effect transistor. J. Appl. Phys. 115, 074508 (2014). doi:10.1063/1.4866076
Szabo, A., Koester, S., Luisier, M.: Ab-initio simulation of van der Waals MoTe\(_2\)-SnS\(_2\) heterotunneling FETs for low-power electronics. IEEE Electron Dev. Lett. 36(5), 514 (2015). doi:10.1109/LED.2015.2409212
Cao, J., Logoteta, D., Özkaya, S., Biel, B., Cresti, A., Pala, M., Esseni, D.: A computational study of van der Waals tunnel transistors: Fundamental aspects and design challenges. In: 2015 IEEE International Electron Devices Meeting (IEDM) (IEEE, 2015), pp. 12.5.1–12.5.4. doi:10.1109/IEDM.2015.7409684
Szabo, A., Koester, S. J., Luisier, M.: Metal-dichalcogenide hetero-TFETs: are they a viable option for low power electronics? Device Research Conference (DRC), 19 (2014). doi:10.1109/DRC.2014.6872279
Torun, E., Sahin, H., Cahangirov, S., Rubio, A., Peeters, F.M.: Anisotropic electronic, mechanical, and optical properties of monolayer WTe\(_2\) J. Appl. Phys. 119, 074307 (2016). doi:10.1063/1.4942162
Cao, J., Cresti, A., Esseni, D., Pala, M.: Quantum simulation of a heterojunction vertical tunnel FET based on 2D transition metal dichalcogenides. Solid-State Electron. 116, 1 (2016). doi:10.1016/j.sse.2015.11.003
Kaasbjerg, K., Thygesen, K.S., Jacobsen, K.W.: Phonon-limited mobility in \(n\)-type single-layer MoS\({}_{2}\) from first principles. Phys. Rev. B 85, 115317 (2012). doi:10.1103/PhysRevB.85.115317
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This work was supported by the French ANR through the project No. ANR-13-NANO-0009-01 (“NOODLES”).
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Pala, M.G., Grillet, C., Cao, J. et al. Impact of inelastic phonon scattering in the OFF state of Tunnel-field-effect transistors. J Comput Electron 15, 1240–1247 (2016). https://doi.org/10.1007/s10825-016-0900-8
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DOI: https://doi.org/10.1007/s10825-016-0900-8