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physics2023

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- What is meant when a phase is said to have "symmetry protected"?

What is meant when a phase is said to have "symmetry protected"?

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- Thread starter physics2023
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- #1

physics2023

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- TL;DR Summary
- What is meant when a phase is said to have "symmetry protected"?

What is meant when a phase is said to have "symmetry protected"?

- #2

Nugatory

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- #3

physics2023

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I recently encountered the topic of topological phases of matter. There I encountered the following term:

"symmetry protected topological phases"

- #4

PeterDonis

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I recently encountered the topic of topological phases of matter. There I encountered the following term:

"symmetry protected topological phases"

- #5

physics2023

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https://www.its.caltech.edu/~xcchen/img/Summer_School/lecture-CalSWARM.pdfWheredid you encounter these things? We need a specific reference--book, article, paper, website, etc.--not just a description of what you found.

- #6

DrClaude

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You have a full document explaining what you are asking???

Symmetry protected topological phases are gapped phases with certain global symmetry (time reversal, charge conjugation, discrete ##Z_N## symmetry, spatial symmetry etc.). The ground state does not spontaneously break the symmetry and is unique on closed manifolds. On an open manifold on the other hand, the system has nontrivial edge modes (degenerate or gapless) such that there cannot be a unique gapped ground state.

- #7

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I guess he wants a simpler explanation than given in the paper.You have a full document explaining what you are asking???

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