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2009 CARBON ALLOTROPESEdge fingerprints and magneto-conductance in graph<strong>en</strong>e nanoribbonsThe control of the curr<strong>en</strong>t flow in gated graph<strong>en</strong>e nanoribbons(GNR) constitutes a fascinating chall<strong>en</strong>ge for the futureof carbon-based electronic devices. The combinationof the extraordinary electronic properties of the Diracfermions in graph<strong>en</strong>e, like their outstanding mobility atroom temperature, with a sizeable <strong>en</strong>ergy gap, op<strong>en</strong>s a routeto outperform the ultimate scaling of silicon field effecttransistors [Wang et al, Phys. Rev. Lett. 100 206803(2008)]. However, the lateral confinem<strong>en</strong>t goes along witha problematic decay of the mobility. Low temperaturetransport measurem<strong>en</strong>ts performed on nano-lithographedGNR also unveil a ubiquitous <strong>en</strong>ergy gap, irrespective ofthe edges ori<strong>en</strong>tation and exceeding the expected confinem<strong>en</strong>tgap.Drawing a parallel betwe<strong>en</strong> GNR and carbon nanotubes(CNT) is certainly tempting. The pres<strong>en</strong>ce of edges in GNRimposes Dirichlet boundary conditions and results in a lossof one conducting channel at the Charge Neutrality Point(CNP), compared to armchair CNT.obtained on high quality GNR is sorely lacking. Applyinga large transverse magnetic field is also a suitable tool toboth explore the expected 1D-electronic band structure andthe disorder induced localization.In this work, we pres<strong>en</strong>t evid<strong>en</strong>ce of 1D-subbands signatureson the electronic transport on an 11 nm wide GNR.Comparison to band structures calculations of a set ofGNRs in a width window of 11±0.3 nm allows an assignationof the carbon atoms arrangem<strong>en</strong>t at the edges and th<strong>en</strong>umber of dimers (figure 7).The application of a 60 T perp<strong>en</strong>dicular magnetic field inducesa drastic increase of the conductance, whose magnitudedep<strong>en</strong>ds on the doping level (figure 8(left). At zero<strong>en</strong>ergy, we demonstrate that the large positive magnetoconductanceoriginates from the onset of the first Landaustate accompanying the closing of the <strong>en</strong>ergy gap (figure8(right). Landauer-Buttiker simulations of the conductanceof GNR including bulk and edge disorder (and curr<strong>en</strong>tlyin progress) demonstrate that the magnetoconductanceresults from a subtle combination of magnetic bandformations and quantum interfer<strong>en</strong>ce effects in pres<strong>en</strong>ce ofdisorder.Figure 7: Conductance versus back-gate voltage at 80 K measuredon the 11 nm wide GNR for two V bias , 50 mV and 1 mV(respectively red and blue curve). Superimposed is the calculatedd<strong>en</strong>sity of states (black curve) as a function of V g , for four distinctGNRs : (a,b,c) aGNR, N = 90,91,92 and (d) zGNR, N = 52.Non-perfect edges are also source of short range pot<strong>en</strong>tialdisorder responsible for inter-valley backscattering. Drasticconsequ<strong>en</strong>ces on the electronic transport have be<strong>en</strong> theoreticalanticipated with the formation of a mobility gap at zero<strong>en</strong>ergy, ev<strong>en</strong> in the pres<strong>en</strong>ce of an ultra-smooth edge roughness.However, a direct comparison with experim<strong>en</strong>tal dataFigure 8: (Left) Magnetoconductance measured on the 11 nmwide GNR for various back gate voltages at 80 K. For comparison,the black dashed curve is the magnetoconductance measuredon a 90 nm GNR varying from 0.6 to 0.4G 0 under 55 T. (Right)Magnetoconductance at the CNP measured at 80,50 and 20 K.The black dashed curves are the simulated magnetoconductanceassuming a thermally activated regime and a magnetic field inducedclosing of the <strong>en</strong>ergy gap along with the onset of the firstLandau level at zero <strong>en</strong>ergy.J-M Poumirol, W. Escoffier, M. Goiran, J-M Broto, B. RaquetS. Roche, A. Cresti (Commissariat à l’Energie Atomique, INAC, SP2M, Gr<strong>en</strong>oble), X. Wang, H. Dai (Physics departm<strong>en</strong>tand Chemistry Laboratory, Stanford, US)9

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