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States of Matter and Phase Changes00:59

States of Matter and Phase Changes

The internal energy of a substance—the total kinetic energy of all its molecules and the potential energy of their associated forces—depends on the strength of the intermolecular forces in the condensed phases and the pressure exerted on the substance. The internal energy of a substance is the highest in the gaseous state, the lowest in the solid state, and intermediate in the liquid state. Phase transitions are caused by changes in physical conditions, such as temperature and pressure, that...
Molecular Comparison of Gases, Liquids, and Solids02:26

Molecular Comparison of Gases, Liquids, and Solids

Particles in a solid are tightly packed together (fixed shape) and often arranged in a regular pattern; in a liquid, they are close together with no regular arrangement (no fixed shape); in a gas, they are far apart with no regular arrangement (no fixed shape). Particles in a solid vibrate about fixed positions (cannot flow) and do not generally move in relation to one another; in a liquid, they move past each other (can flow) but remain in essentially constant contact; in a gas, they move...
States of Matter01:20

States of Matter

Solids, liquids, and gases are the three states of matter commonly found on Earth. A solid is rigid and possesses a definite shape. A liquid flows and takes the shape of its container, except it forms a flat or slightly curved upper surface when acted upon by gravity. Both liquid and solid samples have volumes nearly independent of pressure. A gas takes both the shape and volume of its container.
Scientists have discovered a fourth state of matter, plasma, that occurs naturally in the interiors...
Classifying Matter by State02:49

Classifying Matter by State

Chemistry is the study of matter and the changes it undergoes. Matter is anything that has mass and occupies space. Matter is all around us; the air, water, soil, mountains, even our bodies are all examples of matter. Matter is divided into three states — solid, liquid, and gas — that are commonly found on earth. The fourth state of matter, plasma, occurs naturally in the interiors of stars.
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...
Two Components: Liquid–Liquid Systems01:27

Two Components: Liquid–Liquid Systems

A pressure-composition phase diagram explicitly describes the behavior of an ideal solution of two volatile liquids under varying pressures and compositions. A pressure-composition diagram has two main curves. The bubble point curve represents the plot of pressure versus liquid mole fraction. It indicates the pressure at which the first bubble of vapor forms from the liquid phase as the system pressure decreases.The dew point curve is the pressure versus vapor mole fraction. It indicates the...

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Related Experiment Video

Updated: May 14, 2026

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects

Published on: February 8, 2014

Compressible matter at a holographic interface.

Moshe Rozali1

  • 1Department of Physics and Astronomy, University British Columbia, Vancouver, British Columbia V6T 1Z1, Canada.

Physical Review Letters
|February 2, 2013
PubMed
Summary
This summary is machine-generated.

Researchers explored the interface of topological and ordinary insulators using holography. They discovered a compressible state with gapless fermionic excitations and hyperscaling violation at low temperatures.

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Last Updated: May 14, 2026

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects
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Area of Science:

  • Condensed matter physics
  • Quantum field theory
  • Holographic duality

Background:

  • Topological insulators possess unique surface states with protected properties.
  • Holography provides a powerful tool to study strongly correlated quantum systems.
  • Interfaces between different topological phases can host novel phenomena.

Purpose of the Study:

  • To investigate the properties of matter at the interface between a fractional topological insulator and an ordinary insulator.
  • To understand the nature of emergent excitations in this system under a chemical potential.
  • To explore the thermodynamic behavior and identify potential phases at low temperatures.

Main Methods:

  • Utilizing holographic methods to model the topological insulator interface.
  • Introducing a chemical potential to induce a finite density of excitations.
  • Analyzing the system's thermodynamics and excitation properties.

Main Results:

  • A symmetry-preserving compressible state emerges at low temperatures.
  • The system's excitations exhibit hyperscaling violation.
  • Evidence for gapless fermionic excitations forming a Fermi surface at finite density was found.

Conclusions:

  • The interface hosts a novel compressible state with unique electronic properties.
  • The findings support theoretical expectations of fermionic excitations at finite density.
  • Holographic duality offers insights into complex condensed matter interfaces.