2010/09/30 by Machi Zhang, Hsiang-Hsuan Hung, Hsiang-hsuan Hung +2 · 1 citation
Mathematics · Physics and Astronomy · #Atomic orbital #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Density of states #Electron #Electronic band structure #Geometry #Honeycomb #Lattice (music) #Mathematics #Physics #Quantum #Quantum Hall effect #Quantum mechanics #Quantum, superfluid, helium dynamics #Topological Materials and Phenomena #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.83.023615
published as Phys. Rev. A 83, 023615 (2011) · 15 pages, 13 figures
arxiv created 2011/01/10 · openalex publication_date 2011/02/23 · arxiv updated 2011/03/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the quantum anomalous Hall states in the p-orbital bands of the honeycomb optical lattices loaded with single-component fermions. Such an effect has not yet been realized in both condensed-matter and cold-atom systems. By applying the available experimental techniques to rotate each lattice site around its own center, the band structures become topologically nontrivial. At a certain rotation angular velocity \ensuremathΩ, a flat band structure appears with localized eigenstates carrying chiral current moments. By imposing the soft confining potential, the density profile exhibits a wedding-cake-shaped distribution with insulating plateaus at commensurate fillings. Moreover, the inhomogeneous confining potential induces dissipationless circulation currents, the magnitudes and chiralities of which vary with the distance from the trap center. In the insulating regions, the Hall conductances are quantized, and in the metallic regions, the directions and magnitudes of chiral currents can not be described by the usual local-density approximation. The quantum anomalous Hall effects are robust at temperature scales that are small compared to band gaps, which increase the feasibility of experimental realizations.