Topological Winding Number Change and Broken Inversion Symmetry in a Hofstadter's Butterfly.

Autor: Wang P; Department of Physics and Astronomy, University of California , Riverside, California 92521, United States., Cheng B; Department of Physics and Astronomy, University of California , Riverside, California 92521, United States., Martynov O; Department of Physics and Astronomy, University of California , Riverside, California 92521, United States., Miao T; Department of Physics and Astronomy, University of California , Riverside, California 92521, United States., Jing L; Department of Physics and Astronomy, University of California , Riverside, California 92521, United States., Taniguchi T; Advanced Materials Laboratory, National Institute for Materials Science , Tsukuba, Ibaraki 305-0044, Japan., Watanabe K; Advanced Materials Laboratory, National Institute for Materials Science , Tsukuba, Ibaraki 305-0044, Japan., Aji V; Department of Physics and Astronomy, University of California , Riverside, California 92521, United States., Lau CN; Department of Physics and Astronomy, University of California , Riverside, California 92521, United States., Bockrath M; Department of Physics and Astronomy, University of California , Riverside, California 92521, United States.
Jazyk: angličtina
Zdroj: Nano letters [Nano Lett] 2015 Oct 14; Vol. 15 (10), pp. 6395-9. Date of Electronic Publication: 2015 Oct 01.
DOI: 10.1021/acs.nanolett.5b01568
Abstrakt: Graphene's quantum Hall features are associated with a π Berry's phase due to its odd topological pseudospin winding number. In nearly aligned graphene-hexagonal BN heterostructures, the lattice and orientation mismatch produce a superlattice potential, yielding secondary Dirac points in graphene's electronic spectrum, and under a magnetic field, a Hofstadter butterfly-like energy spectrum. Here we report an additional π Berry's phase shift when tuning the Fermi level past the secondary Dirac points, originating from a change in topological winding number from odd to even when the Fermi-surface electron orbit begins to enclose the secondary Dirac points. At large hole doping inversion symmetry breaking generates a distinct hexagonal pattern in the longitudinal resistivity versus magnetic field and charge density. Major Hofstadter butterfly features persist up to ∼100 K, demonstrating the robustness of the fractal energy spectrum in these systems.
Databáze: MEDLINE