Quantum Hall edges beyond the plasma analogy
We demonstrate that the widely used plasma analogy is unreliable at predicting edge properties of quantum Hall states. This discrepancy arises from a fundamental difference between quantum Hall droplets and plasmas (Coulomb gases): The former are incompressible liquids subject to area-preserving def...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.023134 |
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| _version_ | 1849313454151696384 |
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| author | Per Moosavi Blagoje Oblak Bastien Lapierre Benoit Estienne Jean-Marie Stéphan |
| author_facet | Per Moosavi Blagoje Oblak Bastien Lapierre Benoit Estienne Jean-Marie Stéphan |
| author_sort | Per Moosavi |
| collection | DOAJ |
| description | We demonstrate that the widely used plasma analogy is unreliable at predicting edge properties of quantum Hall states. This discrepancy arises from a fundamental difference between quantum Hall droplets and plasmas (Coulomb gases): The former are incompressible liquids subject to area-preserving deformations, while the latter are governed by electrostatics and thus involve conformal transformations. Consequently, the plasma analogy fails at the edge, except in fine-tuned geometries, as it does not account for the emergent local edge velocity. We quantitatively show how the analogy's failure affects physical quantities, such as fluctuations of local observables and absorption rates in microwave spectroscopy, measurable in both solid-state experiments and quantum simulators. |
| format | Article |
| id | doaj-art-aee2198a451240b09199ecf0a22e7b68 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-aee2198a451240b09199ecf0a22e7b682025-08-20T03:52:46ZengAmerican Physical SocietyPhysical Review Research2643-15642025-05-017202313410.1103/PhysRevResearch.7.023134Quantum Hall edges beyond the plasma analogyPer MoosaviBlagoje OblakBastien LapierreBenoit EstienneJean-Marie StéphanWe demonstrate that the widely used plasma analogy is unreliable at predicting edge properties of quantum Hall states. This discrepancy arises from a fundamental difference between quantum Hall droplets and plasmas (Coulomb gases): The former are incompressible liquids subject to area-preserving deformations, while the latter are governed by electrostatics and thus involve conformal transformations. Consequently, the plasma analogy fails at the edge, except in fine-tuned geometries, as it does not account for the emergent local edge velocity. We quantitatively show how the analogy's failure affects physical quantities, such as fluctuations of local observables and absorption rates in microwave spectroscopy, measurable in both solid-state experiments and quantum simulators.http://doi.org/10.1103/PhysRevResearch.7.023134 |
| spellingShingle | Per Moosavi Blagoje Oblak Bastien Lapierre Benoit Estienne Jean-Marie Stéphan Quantum Hall edges beyond the plasma analogy Physical Review Research |
| title | Quantum Hall edges beyond the plasma analogy |
| title_full | Quantum Hall edges beyond the plasma analogy |
| title_fullStr | Quantum Hall edges beyond the plasma analogy |
| title_full_unstemmed | Quantum Hall edges beyond the plasma analogy |
| title_short | Quantum Hall edges beyond the plasma analogy |
| title_sort | quantum hall edges beyond the plasma analogy |
| url | http://doi.org/10.1103/PhysRevResearch.7.023134 |
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