Fano Resonance in Multiply-Connected Carbon Nanotubes

Gunn Kim, Sang Bong Lee, Tae-Suk Kim, and Jisoon Ihm

School of Physics, Seoul Nantional University, Korea

We have performed tight-binding calculations of conductance of multiply-connected carbon nanotubes(MCCNs) within Landauer formalism. The channels are featured with the resonant tunneling of perfect transmission. Descrete energy levels, broadened by coupling to two (10,10) tubes, in two (5,5) arms give rise to the conductance peaks. The Fano resonance is evident in the asymmetric line shapes in the channels. This novel effect is originated from the interfering current paths through between broad levels and narrow levels in the two arms. As length of the (5,5) arms increases, the number of the resonant states also increases. These resonant states have odd parity with respect to the mirror symmetry plane containing the (10,10) tube axis.
 

[Figure 1] Model Structure of a MCCN with L=8.

[Figure 2] Conductance Plots of as the functions of incident energy E for the MCCNs. The Fermi level is set to zero. (a) L=1, (b) L=3, and (c) L=10.

[Figure 3] Conductance and wave functions for L= 11.