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Twist Instability in Strongly Correlated Carbon Nanotubes

2008/07/14 by Wei Chen, A. V. Andreev, A. M. Tsvelik +1 · 1 citation
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Carbon nanotube #Condensed matter physics #Electron #Instability #Luttinger liquid #Materials science #Mechanical and Optical Resonators #Mechanics #Nanotechnology #Physics #Quantum and electron transport phenomena #Quantum mechanics #RADIUS #Twist #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.101.246802

4 pages, 1 figure

arxiv created 2008/07/14 · openalex publication_date 2008/12/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that strong Luttinger correlations of the electron liquid in armchair carbon nanotubes significantly enhance the onset temperature of the putative twist Peierls instability and lead to its 1/R3 dependence on the tube radius. Depending on the values of the coupling constants the umklapp processes can either assist or compete with the twist instability. In the case of a 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 freestanding (5,5) tubes.

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