Physics:Quantum materials/topological phase: Difference between revisions

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{{Short description|Phase of matter defined by global structural properties}}
{{Short description|Phase of matter defined by global structural properties}}
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A '''topological phase''' is a [[Physics:Quantum matter/phase|phase]] of [[Physics:Quantum matter/matter|matter]] characterized by global structural properties that remain unchanged under continuous deformations.
'''topological phase''' is a Book II topic in the Quantum Collection. A topological phase is a phase of matter characterized by global structural properties that remain unchanged under continuous deformations. Unlike conventional phases, which are defined by local order (such as crystal structure), topological phases are defined by global features of the system. These features are robust against local disturbances. Topological phases can give rise to special states at the boundaries of materials, which remain stable even in the presence of imperfections. topological phase is a matter-scale concept used to organize how quantum theory describes atoms, particles, fields, condensed matter, plasma, or spacetime-related systems. In the Quantum Collection it is placed by scale so the reader can move from materials and molecules down to subatomic degrees of freedom.


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<div style="font-size:90%;">Topological materials exhibit robust edge states determined by global properties.</div>
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[[File:Topological_insulator.png|thumb|280px|Quantum materials/topological phase.]]
[[File:Topological_insulator.png|thumb|280px|Topological materials exhibit robust edge states determined by global properties.]]
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* not characterized by local order
* not characterized by local order
* linked to [[Physics:Quantum fields/symmetry|symmetry]]
* linked to [[Physics:Quantum fields/symmetry|symmetry]]
== Description ==
'''topological phase''' is a matter-scale concept used to organize how quantum theory describes atoms, particles, fields, condensed matter, plasma, or spacetime-related systems. In the Quantum Collection it is placed by scale so the reader can move from materials and molecules down to subatomic degrees of freedom.
== Quantum context ==
At this scale, the relevant behavior is controlled by quantized states, interactions, conservation laws, and the way excitations or particles are observed. The concept is normally linked to measurable properties such as energy, momentum, charge, spin, spectra, scattering rates, or collective modes.
== Role in the collection ==
This page provides a compact reference point for related pages in Book II. It should be read together with nearby matter-scale topics and the corresponding foundations in [[Physics:Quantum mechanics|quantum mechanics]].<ref name="matter-wiki">{{cite web |url=https://en.wikipedia.org/wiki/Quantum_mechanics |title=Quantum mechanics |website=Wikipedia |access-date=2026-05-20}}</ref>
== Interpretation ==
For topological phase, the quantum description is useful because it separates the allowed states, interactions, and measurable quantities from the classical picture. The same concept may appear differently in spectroscopy, scattering, condensed matter, field theory, or cosmology.
== Related measurements ==
Typical measurements involve spectra, decay products, transition rates, transport behavior, correlation functions, or detector signatures. These observations provide the empirical link between the page topic and the wider Quantum Collection.


=See also=
=See also=

Latest revision as of 11:34, 22 May 2026

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Next : Materials/crystal lattice →

topological phase is a Book II topic in the Quantum Collection. A topological phase is a phase of matter characterized by global structural properties that remain unchanged under continuous deformations. Unlike conventional phases, which are defined by local order (such as crystal structure), topological phases are defined by global features of the system. These features are robust against local disturbances. Topological phases can give rise to special states at the boundaries of materials, which remain stable even in the presence of imperfections. topological phase is a matter-scale concept used to organize how quantum theory describes atoms, particles, fields, condensed matter, plasma, or spacetime-related systems. In the Quantum Collection it is placed by scale so the reader can move from materials and molecules down to subatomic degrees of freedom.

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Topological materials exhibit robust edge states determined by global properties.

Description

Unlike conventional phases, which are defined by local order (such as crystal structure), topological phases are defined by global features of the system. These features are robust against local disturbances.

Topological phases can give rise to special states at the boundaries of materials, which remain stable even in the presence of imperfections.

Properties

  • defined by global structure
  • robust against perturbations
  • not characterized by local order
  • linked to symmetry

Description

topological phase is a matter-scale concept used to organize how quantum theory describes atoms, particles, fields, condensed matter, plasma, or spacetime-related systems. In the Quantum Collection it is placed by scale so the reader can move from materials and molecules down to subatomic degrees of freedom.

Quantum context

At this scale, the relevant behavior is controlled by quantized states, interactions, conservation laws, and the way excitations or particles are observed. The concept is normally linked to measurable properties such as energy, momentum, charge, spin, spectra, scattering rates, or collective modes.

Role in the collection

This page provides a compact reference point for related pages in Book II. It should be read together with nearby matter-scale topics and the corresponding foundations in quantum mechanics.[1]

Interpretation

For topological phase, the quantum description is useful because it separates the allowed states, interactions, and measurable quantities from the classical picture. The same concept may appear differently in spectroscopy, scattering, condensed matter, field theory, or cosmology.

Typical measurements involve spectra, decay products, transition rates, transport behavior, correlation functions, or detector signatures. These observations provide the empirical link between the page topic and the wider Quantum Collection.

See also

Table of contents (84 articles)

Index

Full contents

References


Author: Harold Foppele


Source attribution: Physics:Quantum materials/topological phase