Wigner oscillations in strongly correlated carbon nanotube quantum dots

The competition between Friedel and Wigner oscillations in the density of strongly interacting carbon nanotubes is inspected within the Luttinger liquid picture. The power laws of the low temperature density oscillations are different from the usual case of quantum dots defined in quantum wires. Temperature plays an important role in the visibility of Wigner oscillations: both Friedel and Wigner oscillations are suppressed, but Friedel oscillations are suppressed at much lower temperature, signalling the incipience of spin-incoherent Luttinger liquid state.