Twist instability in strongly correlated carbon nanotubes

Abstract

We show that strong Luttinger correlations of the electron liquid in armchair carbon nanotubes lead to a significant enhancement of the onset temperature of the putative twist Peierls instability. The instability results in a spontaneous uniform twist deformation of the lattice at low temperatures, and a gapped ground state. Depending on values of the coupling constants the umklapp electron scattering processes can assist or compete with the twist instability. In case of the competition the umklapp processes win in wide tubes. In narrow tubes the outcome of the competition depends on the relative strength of the e-e and e-ph backscattering. Our estimates show that the twist instability may be realized in free standing (5,5) tubes.

4 pages, 1 figure

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• Decay of a plasmon into neutral modes in a carbon nanotube
• Influence of electron-phonon coupling on low temperature phases of metallic single-wall carbon nanotubes
• Spontaneous twisting and shrinking of carbon nanotubes
• Quantum criticality in a Mott pn-junction in an armchair carbon nanotube
• Binding and spontaneous condensation of excitons in narrow-gap carbon nanotubes
• Anomalous screening in narrow-gap carbon nanotubes