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Phase Transitions02:31

Phase Transitions

23.9K
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...
23.9K
Phase Transitions01:21

Phase Transitions

77
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...
77
Phase Transitions: Sublimation and Deposition02:33

Phase Transitions: Sublimation and Deposition

21.0K
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...
21.0K
Phase Diagrams02:39

Phase Diagrams

51.9K
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...
51.9K
Phase Diagrams of Ternary Systems01:28

Phase Diagrams of Ternary Systems

102
Consider a ternary system, which is composed of three components: water (W), ethanoic acid (E), and trichloromethane (T). Here, Ethanoic acid (E) is fully miscible with both water (W) and trichloromethane (T), meaning it can mix entirely with either of them. However, water and trichloromethane have partial miscibility, meaning they can only mix to a certain extent, beyond which two separate phases will form.The phase diagram of a ternary system is represented as an equilateral triangle, where...
102
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model01:09

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

917
Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
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Related Experiment Video

Updated: Apr 9, 2026

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
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Exploring topological phases with extended Su-Schrieffer-Heeger models.

Raditya Weda Bomantara1

  • 1Department of Physics, Interdisciplinary Research Center for Advanced Quantum Computing, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Saudi Arabia.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|April 7, 2026
PubMed
Summary
This summary is machine-generated.

The Su-Schrieffer-Heeger (SSH) model, a simple lattice, exhibits topological phases with end-localized zero modes. This review explores extensions to the SSH model, revealing sophisticated topological phenomena in higher dimensions and complex unit cells.

Keywords:
the Su–Schrieffer–Heeger modeltopological edge modestopological phases of matter

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Area of Science:

  • Condensed Matter Physics
  • Topological Matter Physics

Background:

  • The Su-Schrieffer-Heeger (SSH) model describes a 1D lattice with alternating amplitudes.
  • It exhibits a topological phase characterized by localized zero energy modes at lattice ends.

Purpose of the Study:

  • To review existing approaches for extending the SSH model.
  • To discuss case studies of extended SSH models and their topological properties.

Main Methods:

  • Reviewing literature on SSH model extensions.
  • Analyzing extensions involving increased dimensionality, enlarged unit cells, and added physical terms.
  • Discussing topological properties of extended models.

Main Results:

  • The SSH model can be extended in various ways to explore complex topological phenomena.
  • Dimensionality increase, unit cell enlargement, and inclusion of physical effects yield sophisticated topological phases.
  • Case studies demonstrate the topological origins of noteworthy properties in extended SSH models.

Conclusions:

  • Extending the SSH model provides a versatile platform for investigating advanced topological matter.
  • These extensions are crucial for understanding novel topological phases and their unique characteristics.