Hyperbolic Cooling of a Graphene on BN Transistor in the Zener-Klein Regime

Abstract

Engineering of cooling mechanisms is a bottleneck in nanoelectronics. Whereas thermal exchanges in diffusive graphene are driven by defect-assisted supercollisions [1], the case of high-mobility graphene on hBN is radically different with a prominent contribution of remote phonons from the substrate. Here, we show that a bilayer graphene on hBN transistor can be driven in the Zener-Klein (ZK) tunnelling regime where current is fully saturated. Using sensitive GHz noise thermometry [2], we show that ZK-tunnelling triggers a new cooling pathway due to the emission of hyperbolic phonons polaritons (HPPs) in hBN by out-of-equilibrium electron-hole pairs (Figure 1). The most striking consequence is a reversal of the doping dependence of the electronic temperature due to the Pauli blocking of ZK-tunnelling at finite doping. HPP cooling is the most efficient mechanism in graphene and promotes graphene Zener-Klein transistors as a valuable route for RF power amplification. A. Betz et al., Nat. Phys., 9 (2013) 109 W. Yang et al., submitted (2016) Figure 1