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

Twist instability in strongly correlated carbon nanotubes