Related Experiment Video
Updated: Nov 7, 2025

Electric-field Control of Electronic States in WS2 Nanodevices by Electrolyte Gating
Published on: April 12, 2018
Valley-Selective Topological Corner States in Sonic Crystals.
Xiujuan Zhang1, Le Liu1,2, Ming-Hui Lu1,3,4
1National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University, Nanjing 210093, China.
Researchers created switchable, valley-selective corner states in a 2D sonic crystal, a new type of higher-order topological insulator (HOTI). This allows flexible control over sound localization for advanced acoustic and photonic devices.
Area of Science:
- Condensed Matter Physics
- Acoustics
- Materials Science
Background:
- Higher-order topological insulators (HOTIs) exhibit unique topological boundary states (corner/hinge states) often dictated by crystalline symmetries.
- Current HOTI boundary states lack flexibility, being fixed to specific locations and difficult to switch or select.
- Exploiting topological phases is crucial for developing robust topological waveguides and novel electronic/photonic devices.
Purpose of the Study:
- To experimentally realize topologically switchable and valley-selective corner states.
- To investigate the interplay between higher-order topology and the valley degree of freedom.
- To demonstrate flexible control and manipulation of wave localization in a two-dimensional sonic crystal.
Main Methods:
- Fabrication of a two-dimensional sonic crystal exhibiting second-order topological properties.
- Utilizing the valley degree of freedom in conjunction with higher-order topology.
- Experimental observation of topological switching and valley-selective corner states via spatial scanning of the sound field.
Main Results:
- Demonstrated a valley higher-order topological insulator (HOTI) with nontrivial bulk polarization.
- Observed valley-dependent corner states enabling flexible wave localization control.
- Successfully switched corner states on/off and selected valleys, confirmed by sound field measurements.
- Designed complex patterns with tunable corner states based on valley selection.
Conclusions:
- The study establishes a novel valley HOTI, showcasing switchable and valley-selective corner states.
- This work provides fundamental insights into the synergy between higher-order topology and valley physics.
- The findings pave the way for lower-dimensional valleytronics with potential applications in integrated acoustics and photonics.
Related Concept Videos
Woodward–Hoffmann Selection Rules and Microscopic Reversibility
Limits with Oscillating Discontinuities
Equipotential Surfaces and Conductors
Region of Convergence
Phase Transitions
Crystal Field Theory - Octahedral Complexes
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...

