TY - JOUR
T1 - Topological characterization of carbon nanotubes
AU - Zang, Xiaoning
AU - Singh, Nirpendra
AU - Schwingenschlögl, Udo
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The research reported in this publication was supported by funding from King Abdullah University of Science and Technology (KAUST). The authors thank Dr Sen Lin and Prof Zhi Song for helpful discussions.
PY - 2018/7/23
Y1 - 2018/7/23
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/630763
UR - https://iopscience.iop.org/article/10.1088/1361-648X/aad21f
UR - http://www.scopus.com/inward/record.url?scp=85051442373&partnerID=8YFLogxK
U2 - 10.1088/1361-648x/aad21f
DO - 10.1088/1361-648x/aad21f
M3 - Article
C2 - 30033939
AN - SCOPUS:85051442373
VL - 30
SP - 335301
JO - Journal of Physics: Condensed Matter
JF - Journal of Physics: Condensed Matter
SN - 0953-8984
IS - 33
ER -