Probe of Three-Dimensional Chiral Topological Insulators in an Optical Lattice

Abstract

We propose a feasible experimental scheme to realize a three-dimensional chiral topological insulator with cold fermionic atoms in an optical lattice, which is characterized by an integer topological invariant distinct from the conventional $Z_2$ topological insulators and has a remarkable macroscopic zero-energy flat band. To probe its property, we show that its characteristic surface states---the Dirac cones---can be probed through time-of-flight imaging or Bragg spectroscopy and the flat band can be detected via measurement of the atomic density profile in a weak global trap. The realization of this novel topological phase with a flat band in an optical lattice will provide a unique experimental platform to study the interplay between interaction and topology and open new avenues for application of topological states.

8 pages, 6 figures, including Supplemental Material, version accepted by PRL

References in corpus (9)

• Classification of topological insulators and superconductors in three spatial dimensions
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Topological surface states in three-dimensional magnetic insulators
• Spin gradient demagnetization cooling of ultracold atoms
• Lattice model of three-dimensional topological singlet superconductor with time-reversal symmetry
• Systematic Construction of tight-binding Hamiltonians for Topological Insulators and Superconductors

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