Second-order topological insulator in periodically driven lattice

Abstract

The higher-order topological insulator (HOTI) is a new type of topological system which has special bulkedge correspondence compared with conventional topological insulators. In this work, we propose a scheme to realize Floquet HOTI in ultracold atom systems. With the combination of periodically spin-dependent driving of the superlattices and a next-next-nearest-neighbor d-wave-like anisotropic coupling term between different spin components, a Floquet second-order topological insulator with four zero-energy corner states emerges, whose Wannier bands are gapless and exhibit interesting bulk topology. Furthermore, the anisotropic coupling with nearest-neighbor form will also induce some intriguing topological phenomena, e.g. non-topologically protected corner states and topological semimetal for two different types of lattice structures respectively. Our scheme may give insight into the construction of different types of higher-order topological insulators in synthetic systems. It also provides an experimentally feasible platform to research the relations between different types of topological states and may have a wide range of applications in future.

References in corpus (49)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• New directions in the pursuit of Majorana fermions in solid state systems
• Weyl Semimetal in a Topological Insulator Multilayer
• Experimental realisation of the topological Haldane model
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Majorana Zero Modes and Topological Quantum Computation
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Topolectrical circuit realization of topological corner modes
• Reflection symmetric second-order topological insulators and superconductors
• Observation of a phononic quadrupole topological insulator
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Higher-Order Topology in Bismuth
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Bose-Einstein condensation of atoms in a uniform potential
• Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Coherent transport of neutral atoms in spin-dependent optical lattice potentials
• Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
• Realization of an anomalous Floquet topological system with ultracold atoms
• Higher-order bulk-boundary correspondence for topological crystalline phases
• Majorana corner modes in a high-temperature platform
• Higher-order topological corner states induced by gain and loss
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Möbius Insulator and Higher-Order Topology in MnBi${}_{2n}$Te${}_{3n+1}$
• Majorana Kramers pairs in higher-order topological insulators
• Topological semimetal in a fermionic optical lattice
• Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling
• Bloch state tomography using Wilson lines
• Engineering Corner States from Two-Dimensional Topological Insulators
• Universal Approach to Magnetic Second-Order Topological Insulator
• Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• Helical Hinge Majoranas in Iron-Based Superconductors
• Second-order Topological Superconductors with Mixed Pairing
• Lattice symmetry assisted second order topological superconductors and Majorana patterns
• Out of equilibrium higher-order topological insulator: Floquet engineering and quench dynamics
• Boundary-obstructed topological high-T${}_c$ superconductivity in iron pnictides
• Hidden-Symmetry-Protected Topological Semimetals on a Square Lattice
• Floquet Second-Order Topological Superconductor Driven via Ferromagnetic Resonance
• Vortex-line topology in iron-based superconductors with and without second-order topology
• Chiral d-wave superfluid in periodically driven lattices
• Time-reversal-invariant $C_2$-symmetric higher-order topological superconductors
• Lattice distortion induced first and second order topological phase transition in rectangular high-T${}_{\mathrm{c}}$ superconducting monolayer
• Discrete-Time Quantum-Walk & Floquet Topological Insulators via Distance-Selective Rydberg-Interaction

Cited by in corpus (2)

• Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
• Gapless higher-order topology and corner states in Floquet systems