Luttinger Liquid Behavior in Carbon Nanotubes

Luttinger Liquid Behavior in Carbon Nanotubes

| Marc Bockrath*, David H. Cobden*, Jia Lu*, Andrew G. Rinzler*, Richard E. Smalley*, Leon Balents#, and Paul L. McEuen*
The paper investigates the Luttinger Liquid (LL) behavior in single-walled carbon nanotubes (SWNTs). SWNTs are one-dimensional (1D) conductors that exhibit unique electronic properties due to strong Coulomb interactions, leading to a LL characterized by a power-law vanishing of the density of states at the Fermi level. The authors present measurements of the conductance of individual SWNT ropes as a function of temperature and voltage, observing power-law behavior: \( G \sim T^\alpha \) and \( dI/dV \sim V^\alpha \). These results are in good agreement with theoretical predictions for tunneling into a LL. The study uses two geometries: bulk-contacted and end-contacted samples. Bulk-contacted samples show power-law behavior from 8 to 300 K with exponents around 0.33, while end-contacted samples show behavior from 10 to 100 K with exponents around 0.6. The data collapse onto a universal scaling curve, supporting the LL theory. The findings suggest that SWNTs can exhibit LL behavior even at room temperature, providing strong evidence for their LL nature.The paper investigates the Luttinger Liquid (LL) behavior in single-walled carbon nanotubes (SWNTs). SWNTs are one-dimensional (1D) conductors that exhibit unique electronic properties due to strong Coulomb interactions, leading to a LL characterized by a power-law vanishing of the density of states at the Fermi level. The authors present measurements of the conductance of individual SWNT ropes as a function of temperature and voltage, observing power-law behavior: \( G \sim T^\alpha \) and \( dI/dV \sim V^\alpha \). These results are in good agreement with theoretical predictions for tunneling into a LL. The study uses two geometries: bulk-contacted and end-contacted samples. Bulk-contacted samples show power-law behavior from 8 to 300 K with exponents around 0.33, while end-contacted samples show behavior from 10 to 100 K with exponents around 0.6. The data collapse onto a universal scaling curve, supporting the LL theory. The findings suggest that SWNTs can exhibit LL behavior even at room temperature, providing strong evidence for their LL nature.
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