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A graphene nanoribbon (GNR) tunnel field-effect transistor (TFET) is proposed and modeled analytically. Ribbon widths between 3 and 10 nm are considered to effect energy bandgaps in the range of 0.46 to 0.14 eV. It is shown that a 5-nm ribbon width TFET can switch from on to off with only 0.1-V gate swing. The transistor achieves 800 muA/mum on -state current and 26 pA/mum off-state current, with an effective subthreshold swing of 0.19 mV/dec. Compared to a projected 2009 n MOSFET, the GNR TFET can provide 5times higher speed, 20times lower dynamic power, and 280 000times lower off-state power dissipation. The high performance of GNR TFETs results from their narrow bandgaps and their 1-D nature.