Prospects for graphene

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Prospects for graphene electronics Jari Kinaret 1 and Daniel Neumaier 2 1 Chalmers University of Technology, Sweden 2 AMO GmbH, Germany

Graphene-based electronics At its infancy: Si anno 1955 Not just graphene but also other two-dimensional materials (BN, MoS 2, MoSe 2, NbSe 2, Bi 2 Te 3, ): a whole new palette Different aspects: Pre-requisites: it materials and device fabrication Digital vs. analog Consumer vs. high-performance Integrated systems: optical, flexible Novel components For recent reviews, see D. Reddy et al., J. Phys. D 44, 313001 (2011); F. Schwierz, Nature Nanotechnology 5, 487 (2010); S.K. Banarjee et al., Proc. IEEE 98, 2032 (2010)

What s so special about graphene? Conducting (semi-metal: ambipolar) High carrier mobility (up to 200 000 cm²/vs, on substrate ~10 000 cm 2 /Vs) Large saturation ti velocity (4 x10 5 m/s) /) High current-carrying capacity Linear dispersion relation (Dirac fermions) Ultimately thin Compatible with planar technology Optically transparent (absorption πα 2.3 %) Flexible and strong (100-300 stronger than steel) Best conductor of heat Chemically inert Biocompatible

Materials production Efliti Exfoliation Mechanical: highest quality, not scalable Chemical: mostly flakes, OK for many applications Mobility up to 200 000 cm 2 /Vs and higher (suspended) CVD Scalable, transferable, rapidly developing Usually on Cu but also other metals and insulators Roll-to-roll production Mobility up to 7 000 cm 2 /Vs on SiO 2, 3x higher on h-bn (A. Venugopal et al., J. Appl. Phys. 109, 104511 (2011)) SiC sublimation High electrical quality, expensive, not transferable Chemical synthesis Atomistic control, placement issues similar to CNTs Exploratory techniques S. Bae et al. Nature Nano. 5, 571 (2010)

Other (mono-)layered materials Graphene is the first material in a palette of monolayers from layered materials Hexagonal BN Insulator NbSe 2 semimetal MoS 2 Direct-bandgap SC (MoS 2 FET: Nature Nano 6, 147 (2011)) (K. Novoselov, Rev. Mod. Phys. 83, 837 (2011))

Device fabrication Planar technology: conventional lithography is applicable integrable Sandwich structures G-BN-G (L.A. Ponomarenko et al., to appear in Nature Phys.) ) 16,200 FET devices 2 graphene layers, individually contacted and separated by 5 BN layers Coulomb drag etc. L C : 10 μm L W : 5 μm Challenge is to use CVD or similar but without having to transfer!

Analog electronics High mobility and high saturation velocity give promise for fast electronics Extrapolated performance IBM: f T = 100 GHz @ 240 nm; UCLA: f T = 300 GHz @ 144 nm Poor power gain due to absence of a gap 100 GHz IBM Ambipolar: new design feature that enables novel devices (Palacios) 300GHz UCLA, X. Duan (adapted from F. Schwierz)

Comparison of graphene RF-transistors in terms of maximal transconductance g m, minimal source-drain conductance g 0, and maximum power gain A Oxid (EOT) g m max (ms/µm) g 0 min (ms/µm) A max IBM (SiC) PHS/HfO 2 (17 nm) 0.15 0.4 <<1 IBM (CVD) Al 2 O 3 (10 nm) 0.04 0.2 <<1 UCLA (Exfoliated) Al 2 O 3 (8 nm) 1.2 2 <1 Columbia (BN) BN (8 nm) 0.4 0.05 0.1 4 8 Columbia(pulsed) PVA/HfO 2 (7nm) 0.5 0.1 0.2 2.5 5 AMO (E G = zero) Al 2 O 3 (8nm) 0.12 0.02 6 AMO (E G ~ 100meV) Al 2 O 3 (8nm) 0.12 0.002 60 AMO unpublished

Exploiting ambipolarity for RF applications Frequency doubling (Z. Wang et al., APL 96, 173104 (2010) Mixer with one transistor (L. Liao et al., Nano Lett, June 7, 2011) Room for many more innovations!

Digital electronics Challenge: absence of a band gap makes it hard to turn the devices off Old thinking: create a gap Graphene nanoribbons (GNR) E g 0.8 ev nm/w Lithographically: hard, need width 2-5 nm, good edges Chemical synthesis: on metals, hard to position, no transport measurements exist yet Unzipping i of CNTs or synthesis inside id a CNT Bilayer graphene with electric field: gap 100-200 mev, required V bg ~100 V Chemical modification (e.g., nitrophenyl), gap 0.4 ev (S. Niyogi et al., Nano Lett. 10, 4061 (2010)) New thinking: under research BiSFET, tunnel FET, Veselago lens device: both BiSFET and tunnel FET are predicted to have very low switching energies, but they have not been demostrated experimentally X.Li et al., Science 319, 1229 (2008) Y. Zhang et al., Nature 459, 820 (2009)

Consumer electronics Printable electronics Thin film transistors with μ up to 100 cm 2 /Vs (private information): no longer slow, still cheap may capture some markets from conventional electronics Approaching maturity: Vorbeck Materials conducting ink on market in 2012

Optoelectronics ITO replacement In is a scarce resource with few suppliers Sheet resistance and transparency OK Samsung prototype AMOLED Fast lasers, photodetectors, modulators Saturable absorbtion enables fast lasers with sub-ps pulses Unique, universal wideband absorption can be exploited in photodetectors Etc. graphene photonics and plasmonics is one of the fastest growing research areas at the moment F. Bonaccorso et al. Nature Phot.. 4, 6111 (2010)

Beyond CMOS Spintronics: large spin coherence lengths and pure spin currents (D.N. Ababnin et al., Science 332, 328 (2011)) large resistance signal for spin-dependent transport in spintronic logic devices (A. Fert, talk in Graphene2020, March 2011) NEMS: low mass and large Young s modulus are promising advantages high frequency NEMS larger area implies larger signals than for CNT-devices possibility to shape and to sensitively control nonlinearities by tension yield new design freedoms

Benchmarking Beyond CMOS Devices Technology Gain Signal/Noise ratio Non-linearity Speed Power consumption Architecture/Integrability (Inputs/outputs, digital, multilevel, analog, size etc.) Other specific properties Manufacturability (Fabrication processes needed, tolerances etc.) Timeline (When exploitable or when foreseen in production) Graphene Poor, would benefit from a gap High Low high mobility, good gate coupling Demonstrated integrability. System level integration - multifunctional Mostly OK, except for ribbon fabrication Challenges in transferless fabrication Optical and printable first (~2 years). Analog a few years later. Digital last. Non-standard devices (BiSFET etc.) not demonstrated yet.