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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
Published on: March 30, 2017
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Generation of higher-order topological insulators using periodic driving
Arnob Kumar Ghosh1,2,3, Tanay Nag3,4, Arijit Saha1,2
1Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, India.
Journal of Physics. Condensed Matter : an Institute of Physics Journal
|November 20, 2023
Summary
This study explores generating higher-order topological insulators (HOTIs) using Floquet drives. Researchers demonstrate creating novel dynamical topological states, including anomalous π-modes, in 2D and 3D systems.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Quantum Mechanics
Background:
- Topological insulators (TIs) possess unique boundary states protected by symmetry.
- Higher-order TIs (HOTIs) exhibit topological boundary states at lower dimensions (d-n) compared to conventional TIs.
- Non-equilibrium control of topological phases remains a significant challenge.
Purpose of the Study:
- To explore periodic Floquet driving protocols for generating higher-order topological phases.
- To investigate the creation of dynamical anomalous π-modes alongside conventional 0-modes.
- To demonstrate Floquet higher-order topological modes in 2D and 3D systems.
Main Methods:
- Utilizing periodic Floquet driving protocols to engineer topological phases.
- Starting from non-topological or first-order topological phases.
- Systematically analyzing Floquet higher-order topological modes in 2D and 3D lattices.
Main Results:
- Successfully generated Floquet higher-order topological insulators (HOTIs) from non-topological or first-order phases.
- Demonstrated the creation of dynamical anomalous π-modes, achievable only in dynamical systems.
- Exemplified Floquet second-order TIs (FSOTIs) in 2D with 0- and π-corner modes.
- Showcased 3D FSOTIs and Floquet third-order TIs with 1D hinge and 0D corner modes, respectively.
Conclusions:
- Periodic Floquet driving offers a powerful route to realize novel non-equilibrium topological phases.
- Dynamical anomalous π-modes can be generated in Floquet HOTIs, expanding the landscape of topological phenomena.
- The presented methods provide a systematic framework for exploring and designing Floquet higher-order topological states in various dimensions.
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