Hidden-symmetry-protected quantum pseudo-spin Hall effect in optical lattices
arXiv:1606.00088 · doi:10.1103/PhysRevA.93.063626
Abstract
We propose a scheme to realize a new Z_2 topological insulator in a square optical lattice. Different from the conventional topological insulator protected by the time-reversal symmetry, here, the optical lattice possesses a novel hidden symmetry, which is responsible for the present Z_2 topological order. With a properly defined pseudo-spin, such a topological insulator is characterized by the helical edge states which exhibits pseudo-spin-momentum locking, so that it can be considered as a quantum pseudo-spin Hall insulator. The Z_2 topological invariant is derived and its experimental detection is discussed as well.
To appear in Physical Review A
References in corpus (19)
- 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
- Classification of topological insulators and superconductors in three spatial dimensions
- Topological Crystalline Insulators
- Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
- Direct imaging of topological edge states in cold-atom systems
- Wilson Fermions and Axion Electrodynamics in Optical Lattices
- Detecting Chiral Edge States in the Hofstadter Optical Lattice
- Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
- Interferometric approach to measuring band topology in 2D optical lattices
- Measuring Z2 topological invariants in optical lattices using interferometry
Cited by in corpus (4)
- Long-range hopping and indexing assumption in one-dimensional topological insulators
- Hidden-symmetry-protected Z_2 topological insulator in a cubic lattice
- Hidden topology in flat-band topological insulators: Strong, weak and square-root topological states
- Tunable zero modes and quantum interferences in flat-band topological insulators