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Related Concept Videos

Phase Transitions02:31

Phase Transitions

Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to occupy...
Phase Transitions01:21

Phase Transitions

A phase transition is the process in which a substance changes from one state of matter to another, like from a solid to a liquid, liquid to gas, or vice versa, at a specific temperature and under given pressure conditions. This change is spontaneous and is affected by alterations in temperature and pressure. These parameters impact the strength of the forces between molecules (intermolecular forces) in the substance.During a phase transition, both the initial and final phases of the substance...
Phase Transitions: Sublimation and Deposition02:33

Phase Transitions: Sublimation and Deposition

Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
Phase Transitions: Melting and Freezing02:39

Phase Transitions: Melting and Freezing

Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
Region of Convergence of Laplace Tarnsform01:20

Region of Convergence of Laplace Tarnsform

The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This substitution...
Phase Transitions: Vaporization and Condensation02:39

Phase Transitions: Vaporization and Condensation

The physical form of a substance changes on changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. Vaporization occurs when the thermal motion of the molecules overcome the intermolecular forces, and the molecules (at the surface) escape into the gaseous state. When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase molecules...

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Updated: Jul 8, 2026

High-resolution Thermal Micro-imaging Using Europium Chelate Luminescent Coatings
09:01

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Published on: April 16, 2017

Highly Localized Plasmonic Jackiw-Rebbi State from a Topological Phase Transition.

Ziyi Fu1,2, Cai Luo1, Zhixiang Yu1,2

  • 1Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.

Nano Letters
|July 6, 2026
PubMed
Summary
This summary is machine-generated.

Researchers observed a plasmonic Jackiw-Rebbi (JR) state in a metal-dielectric grating, achieving robust optical states with significantly enhanced confinement. This breakthrough combines topological protection with compact field localization for advanced photonic applications.

Keywords:
Band topologyJR statesPlasmonicTopological phase transition

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Area of Science:

  • Topological photonics
  • Plasmonics
  • Condensed matter physics

Background:

  • Topological photonics offers disorder-robust optical states.
  • Jackiw-Rebbi (JR) states are zero-mode excitations bound to interfaces.
  • Previous realizations in dielectric platforms had extended mode volumes.

Purpose of the Study:

  • To experimentally observe a plasmonic JR state.
  • To achieve enhanced field confinement in topological states.
  • To explore topological band inversion in a 1D metal-dielectric grating.

Main Methods:

  • Fabrication of a 1D metal-dielectric grating.
  • Inducing topological band inversion by varying a geometric parameter.
  • Characterizing the midgap state at the interface between topological phases.

Main Results:

  • Experimental observation of a plasmonic JR state.
  • A sharp midgap state was localized at the interface.
  • Lateral localization length experimentally bounded by <5 μm, simulated ~0.7 μm.
  • Enhanced confinement due to flattened plasmonic dispersion.

Conclusions:

  • Established a platform for plasmonic JR states.
  • Demonstrated combined topological robustness and compact field confinement.
  • Potential for novel photonic devices leveraging these properties.