Topological characterization of carbon nanotubes

Xiaoning Zang, Nirpendra Singh, Udo Schwingenschlögl

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish (US)
Pages (from-to)335301
JournalJournal of Physics: Condensed Matter
Issue number33
StatePublished - Jul 23 2018


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