Topology-induced phase transitions in quantum spin Hall lattices
arXiv:1007.2056 · doi:10.1103/PhysRevA.83.023609
Abstract
Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological properties at room temperature and without the need of external magnetic fields. These topological insulators are band insulators with large spin-orbit interactions and exhibit the quantum spin-Hall (QSH) effect. Here we investigate the transition between QSH and normal insulating phases under topological deformations of a two-dimensional lattice. We demonstrate that the QSH phase present in the honeycomb lattice looses its robustness as the occupancy of extra lattice sites is allowed. Furthermore, we propose a method for verifying our predictions with fermionic cold atoms in optical lattices. In this context, the spin-orbit interaction is engineered via an appropriate synthetic gauge field.
References in corpus (32)
- Many-Body Physics with Ultracold Gases
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Topological Order and the Quantum Spin Hall Effect
- 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
- Quantum Spin Hall Effect
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Nonlocal edge state transport in the quantum spin Hall state
- Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
- Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
- Stability of the quantum spin Hall effect: effects of interactions, disorder, and Z_2 topology
- Topological insulator on the kagome lattice
- Aharonov-Bohm cages in two-dimensional structures
- Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory
- Disordered quantum gases under control
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Topological Insulators on the Lieb and Perovskite Lattices
- Massless Dirac-Weyl Fermions in a T_3 Optical Lattice
- How to escape Aharonov-Bohm cages ?
- Ultracold Fermions in a Graphene-Type Optical Lattice
- Topological states in two-dimensional optical lattices
- Quantum Anomalous Hall Effect with Cold Atoms Trapped in a Square Lattice
- Topological aspects of quantum spin Hall effect in graphene: Z topological order and spin Chern number
- Trapped Fermi Gases in Rotating Optical Lattices: Realization and Detection of the Topological Hofstadter Insulator
- Phase Diagram of the Bose-Hubbard Model with T_3 symmetry
- Topological phase transitions in the non-Abelian honeycomb lattice
- Rashba effect induced localization in quantum networks
- Rashba effect in quantum networks
- Vortex ordering in fully-frustrated superconducting systems with dice lattice
Cited by in corpus (35)
- Topological insulators and superconductors
- Light-induced gauge fields for ultracold atoms
- Topological Flat Band Models and Fractional Chern Insulators
- Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
- Quantum transport in Rashba spin-orbit materials: A review
- Barrier transmission of Dirac-like pseudospin-one particles
- Lattice generalization of the Dirac equation to general spin and the role of the flat band
- Topological phase transitions driven by next-nearest-neighbor hopping in two-dimensional lattices
- Topological insulators and fractional quantum Hall effect on the ruby lattice
- Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices
- Exciton-polariton condensates near the Dirac point in a triangular lattice
- Band topology and quantum spin Hall effect in bilayer graphene
- Relativistic quantum effects of Dirac particles simulated by ultracold atoms
- Nonlinear dynamics of Aharonov-Bohm cages
- Coexistence of spin-1/2 and spin-1 Dirac-Weyl fermions in the edge-centered honeycomb lattice
- Three-level Haldane-like model on dice optical lattice
- Correlated Topological Phases and Exotic Magnetism with Ultracold Fermions
- Many-Body Effects and Optical Properties of Single- and Double Layer - Lattices
- Nontrivial topological states on a Möbius band
- Solitons in one-dimensional lattices with a flat band
- Identifying topological edge states in 2D optical lattices using light scattering
- Topological features of Haldane model on a dice lattice: role of flat band on transport properties
- Many-body Aharonov-Bohm caging in a lattice of rings
- Superscattering of pseudospin-1 wave in photonic lattice
- Predicting Large-Chern-Number Phases in a Shaken Optical Dice Lattice
- Volkov-Pankratov states in topological graphene nanoribbons
- Andreev reflection of massive pseudospin-1 fermions
- Edge states and topological properties of electrons on the bismuth on silicon surface with giant spin-orbit coupling
- Holstein polaron in a pseudospin- quantum spin Hall system: first and second order topological phase transitions
- Implementation and characterization of the dice lattice in the electron quantum simulator
- Tunable Aharonov-Bohm cages through anti--symmetric imaginary couplings
- Electrical and thermal transport through NIS junction
- Aharonov-Bohm caging of an electron in a quantum fractal
- Geometric semimetals and their simulation in synthetic matter
- Quantum pumping with adiabatically modulated barriers in three-band pseudospin-1 Dirac-Weyl systems