Thermal Equilibration on the Edges of Topological Liquids
Thermal conductance has emerged as a powerful probe of topological order in the quantum Hall effect and beyond. The interpretation of experiments crucially depends on the ratio of the sample size and the equilibration length, on which energy exchange among contrapropagating chiral modes becomes significant. We show that at low temperatures the equilibration length diverges as 1/T^{2} for almost all Abelian and non-Abelian topological orders. A faster 1/T^{4} divergence is present on the edges of the non-Abelian PH-Pfaffian and negative-flux Read-Rezayi liquids. We address experimental consequences of the 1/T^{2} and 1/T^{4} laws in a sample, shorter than the equilibration length.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2020 |
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| Erschienen: |
2020 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:125 |
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| Enthalten in: |
Physical review letters - 125(2020), 1 vom: 03. Juli, Seite 016801 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Ma, Ken K W [VerfasserIn] |
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Date Revised 20.07.2020 published: Print Citation Status PubMed-not-MEDLINE |
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| doi: |
10.1103/PhysRevLett.125.016801 |
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| funding: |
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| PPN (Katalog-ID): |
NLM312549547 |
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| 520 | |a Thermal conductance has emerged as a powerful probe of topological order in the quantum Hall effect and beyond. The interpretation of experiments crucially depends on the ratio of the sample size and the equilibration length, on which energy exchange among contrapropagating chiral modes becomes significant. We show that at low temperatures the equilibration length diverges as 1/T^{2} for almost all Abelian and non-Abelian topological orders. A faster 1/T^{4} divergence is present on the edges of the non-Abelian PH-Pfaffian and negative-flux Read-Rezayi liquids. We address experimental consequences of the 1/T^{2} and 1/T^{4} laws in a sample, shorter than the equilibration length | ||
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