Quantum anomalous Hall states in the $p$-orbital honeycomb optical lattices

Abstract

We study the quantum anomalous Hall states in the $p$-orbital bands of the honeycomb optical lattices loaded with the single component fermions. Such an effect has not been realized in both condensed matter and cold atom systems yet. By applying the available experimental technique developed by Gemelke \textit{et al.} to rotate each lattice site around its own center, the band structures become topologically non-trivial. At a certain rotation angular velocity $\Omega$, a flat band structure appears with localized eigenstates carrying chiral current moments. With 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 whose magnitudes and chiralities 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 cannot be described by the usual local-density-approximation. The quantum anomalous Hall effects are robust at temperature scales small compared to band gaps, which increases the feasibility of experimental realizations.

15 pages, 13 figures

References in corpus (30)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Dissipationless Quantum Spin Current at Room Temperature
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• On the $Z_2$ classification of Quantum Spin Hall Models
• Spin Hall effects for cold atoms in a light induced gauge potential
• The $p_{x,y}$-orbital counterpart of graphene: cold atoms in the honeycomb optical lattice
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Orbital analogue of quantum anomalous Hall effect in $p$-band systems
• Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
• Ultracold Fermions in a Graphene-Type Optical Lattice
• Orbital ordering and frustration of $p$-band Mott-insulators
• Trapped Fermi Gases in Rotating Optical Lattices: Realization and Detection of the Topological Hofstadter Insulator
• Unconventional Bose-Einstein Condensations Beyond the "No-node" Theorem
• Rotating Few-body Atomic Systems in the Fractional Quantum Hall Regime
• Incommensurate superfluidity of bosons in a double-well optical lattice
• Anomalous Hall Effect in $t_{2g}$ Orbital Kagome Lattice due to Non-collinearity:Significance of Orbital Aharonov-Bohm Effect
• Edge Transport in 2D Cold Atom Optical Lattices

Cited by in corpus (2)

• Nearly-flat bands with nontrivial topology
• Stable Fulde-Ferrell-Larkin-Ovchinnikov pairing states in 2D and 3D optical lattices