Topological characterization of carbon nanotubes

Xiaoning Zang, Nirpendra Singh, Udo Schwingenschlögl

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We show that the tight-binding Hamiltonian of any carbon nanotube with C N symmetry can be represented by N decoupled tight-binding Hamiltonians of molecular chains, for which a general pseudospin formulation, characterized by specific paths in a two-dimensional auxiliary space, is developed. The quantum phases therefore are given by a set of N winding numbers of the paths. The paths degenerate to lines and circles for armchair and zigzag carbon nanotubes, respectively. They rotate in the auxiliary space when a magnetic field of varying strength is applied along the carbon nanotube, which gives rise to quantum phase transitions.

Original languageBritish English
Article number335301
JournalJournal of Physics Condensed Matter
Issue number33
StatePublished - 23 Jul 2018


  • nanotube
  • pseudospin
  • quantum phase


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