Crossover from Luttinger liquid to Coulomb blockade regime in carbon nanotubes

Abstract

We develop a theoretical approach to the low-energy properties of 1D electron systems aimed to encompass the mixed features of Luttinger liquid and Coulomb blockade behavior observed in the crossover between the two regimes. For this aim we extend the Luttinger liquid description by incorporating the effects of a discrete single-particle spectrum. The intermediate regime is characterized by a power-law behavior of the conductance, but with an exponent oscillating with the gate voltage, in agreement with recent experimental observations. Our construction also accounts naturally for the existence of a crossover in the zero-bias conductance, mediating between two temperature ranges where the power-law behavior is preserved but with different exponent.

arXiv comment5 pages, 3 figures

References in corpus (13)

• Luttinger Liquid Behavior in Carbon Nanotubes
• Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
• Effective low-energy theory for correlated carbon nanotubes
• Interference and Interaction in Multiwall Carbon Nanotubes
• The Electrochemical Carbon Nanotube Field-Effect Transistor
• Luttinger liquid behavior in multi-wall carbon nanotubes
• Multi-wall carbon nanotubes as quantum dots
• Suppression of tunneling into multi-wall carbon nanotubes
• Bulk and boundary zero-bias anomaly in multi-wall carbon nanotubes
• On the Coulomb interaction in chiral-invariant one-dimensional electron systems
• Crossover from marginal Fermi liquid to Luttinger liquid behavior in carbon nanotubes
• Large N Effects and Renormalization of the Long-Range Coulomb Interaction in Carbon Nanotubes
• Doping- and size-dependent suppression of tunneling in carbon nanotubes

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• Electronic screening and correlated superconductivity in carbon nanotubes
• Magnetic field effects and renormalization of the long-range Coulomb interaction in Carbon Nanotubes
• Modulation of Luttinger liquid exponents in multi-walled carbon nanotubes
• Transport through a double barrier in Large Radius Carbon Nanotubes in the presence of a transverse magnetic field
• Electrical transport properties of small diameter single-walled carbon nanotubes aligned on ST-cut quartz substrates
• Influence of dimensionality on superconductivity in carbon nanotubes