Seminars
Topological Color-Hall Insulators: SU(3) Fermions in Optical Lattices
September 13th, 2019 Carlos A. R. Sá de Melo School of Physics, Georgia Institute of Technology, Atlanta

The emergence of topological color insulators in optical lattices as quantum phases of SU(3) ultra-cold neutral fermions is discussed. The Chern matrix is constructed and used to classify all insulating phases in terms of three topological invariants: the charge-charge, the color-charge and the color-color Chern numbers. The classification for SU(3) topological insulators transcends that of SU(2) systems which require only the charge-charge (charge-Hall) and spincharge (spin-Hall) Chern numbers[1]. In order to illustrate the topological classification of the insulating phases of SU(3) fermions, phase diagrams of chemical potential and color-orbit parameter versus color-flip fields for fixed magnetic flux ratio are discussed.[2]

  • [1] Man Hon Yau and C. A. R. Sá de Melo, Chern-number spectrum of ultracold fermions in optical lattices tuned independently via artificial magnetic, Zeeman, and spin-orbit fields, Phys. Rev. A 99, 043625 (2019).
  • [2] Man Hon Yau and C. A. R. Sá de Melo, Topological Color-Hall Insulators: SU(3) Fermions in Optical Lattices, arXiv:1904.12791v1 (2019).


Seminar, September 13, 2019, 16:00. ICFO’s Seminar Room

Hosted by Prof. Maciej Lewenstein

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