Tomonaga-Luttinger Liquid and Coulomb Blockade in Multiwall Carbon Nanotubes under Pressure

Abstract

We report that the conductance of macroscopic multiwall nanotube (MWNT) bundles under pressure shows power laws in temperature and voltage, as corresponding to a network of bulk-bulk connected Tomonaga-Luttinger Liquids (LL). Contrary to individual MWNT, where the observed power laws are attributed to Coulomb blockade, the measured ratio for the end and bulk obtained exponents, ~2.4, can only be accounted for by LL theory. At temperatures characteristic of interband separation, it increases due to thermal population of the conducting sheets unoccupied bands.

High-pressure resistance reversibility of polymer composites based on multiwalled carbon nanotubes

“…Initial resistance R int at atmospheric pressure is 164 X, 1364 X, and 3226 X for samples #1, #2, and #3, respectively. It is noticed that as the pressure goes up 9 GPa, all samples show a similar decrease in R. This R reduction under pressure (hence increase in the electrical conductivity) is typical in MWCNT, as already reported in the measurements up to 18 GPa, 6 and 20 GPa, 7 as well as at kPa pressures for carbon black, 22 even under uniaxial compression. The average aspect ratio for R 9GPa /R int , in kX samples, # 1 and # 2 is about 7 times and for X sample, # 3, is 5 times.…”

Interplay of Tomonaga-Luttinger liquids and superconductive phase in carbon nanotubes

“…On the other hand, besides the dependence on temperature, the power law behavior of the observables as a function of the bias voltage V provides absolute evidence of the TLL behavior [2,3,20]. Thus, it is crucial to investigate the regime eV ≫ kT to discuss in depth the transition from the TLL behavior to the SC phase.…”

“…4(a) exhibits doubly logarithmic plots of the normalized differential conductance vs. eV /kT , which is one of the typical dependences to check the TLL behavior for eV ≫ kT [20]. It shows that the entire data collapse suitably onto a single universal curve at T 7 K. This agrees with the results reported in previous investigations of the TLL behavior [1,2,20]. As shown by the red dotted line, this universal curve can be fitted by the following result for a TLL [20]:…”

“…where V is the applied voltage, Γ(x) the Gamma-function, k the Boltzmann constant and γ the inverse number of the measured junctions M weighted by their resistance [20]. For M junctions in series, the value of γ should be within γ =1/M .…”

The effect of metal-contacts on carbon nanotube for high frequency interconnects and devices

“…5 We note that a lot of work has been done in the development of carbon based devices operating in the direct current (DC) regime. 6,7 While the focus is now being extended to fast switching devices that promise to out shine those of current technology it goes without saying that full characterisation of the effect of nano-contacts must be accomplished.…”