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intriguing electric and transport properties have attract wide attention since its discovery in 2004.The electronic structures and the transport properties for perfect and nitrogen doped (zig-zag grapheme nanoribbons) z-GNRs were investigated by first-principles calculations using non-equilibrium Green Function approach.The effect of doping site on the electronic structures and transport properties were investigated.For the perfect Z-5-8 GNR, the band structure, DOS and transport coefficient is almost symmetry around the Fermi level, and the Ⅰ-Ⅴ curve is almost linear.