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A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...

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Related Experiment Video

Updated: Jan 24, 2026

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor

Published on: August 30, 2012

Probing topological phases in waveguide superlattices.

|May 16, 2019

Summary

This summary is machine-generated.

We present a new bulk probing method to measure topological invariants in waveguide superlattices. This technique accurately identifies topological edge states in quadrimeric superlattices without needing Wannier functions.

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Last Updated: Jan 24, 2026

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor

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Published on: August 30, 2012

Fabrication of Zero Mode Waveguides for High Concentration Single Molecule Microscopy

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Atom Probe Tomography Analysis of Exsolved Mineral Phases

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Published on: October 25, 2019

Area of Science:

Condensed Matter Physics
Topological Materials
Photonics

Background:

One-dimensional superlattices exhibit topological properties and tunable edge states.
Probing topological properties beyond simple dimer cases remains challenging.

Purpose of the Study:

To develop a general method for bulk probing topological invariants in waveguide superlattices.
To identify topological edge states in more complex superlattice structures.

Main Methods:

A novel bulk probing technique using spatial displacement of discretized beams.
Tailored initial beam excitation corresponding to a superposition of Wannier functions.
Application to quadrimeric superlattices to distinguish topological from non-topological edge states.

Main Results:

The proposed method directly measures band gap topological numbers.
A simplified bulk probing approach for quadrimeric superlattices is demonstrated.
The method effectively discriminates zero-energy topological edge states.

Conclusions:

The developed bulk probing method offers a general approach to characterize topological properties in waveguide superlattices.
This technique simplifies the identification of topological edge states, particularly in complex lattice designs.