Charge-conserving equilibration of quantum Hall edge states
We address the experimentally relevant situation, where a nonequilibrium state is created by injecting charge current into a chiral quantum Hall edge state. We show that the commonly accepted picture of the full equilibration of a nonequilibrium state at finite distances contradicts the charge-conse...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013042 |
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| _version_ | 1841543278374158336 |
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| author | Edvin G. Idrisov Ivan P. Levkivskyi Eugene V. Sukhorukov |
| author_facet | Edvin G. Idrisov Ivan P. Levkivskyi Eugene V. Sukhorukov |
| author_sort | Edvin G. Idrisov |
| collection | DOAJ |
| description | We address the experimentally relevant situation, where a nonequilibrium state is created by injecting charge current into a chiral quantum Hall edge state. We show that the commonly accepted picture of the full equilibration of a nonequilibrium state at finite distances contradicts the charge-conservation requirement. We propose and solve the transmission line model that accounts for the local equilibration process and the charge- and energy-conserving dynamics of the collective mode. We find that the correction of the electron distribution function to its eventual equilibrium form scales down slowly as 1/sqrt[L] at long distances L. |
| format | Article |
| id | doaj-art-03dd2c79d686448fb444b03df66aefe4 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-03dd2c79d686448fb444b03df66aefe42025-01-13T15:02:50ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-017101304210.1103/PhysRevResearch.7.013042Charge-conserving equilibration of quantum Hall edge statesEdvin G. IdrisovIvan P. LevkivskyiEugene V. SukhorukovWe address the experimentally relevant situation, where a nonequilibrium state is created by injecting charge current into a chiral quantum Hall edge state. We show that the commonly accepted picture of the full equilibration of a nonequilibrium state at finite distances contradicts the charge-conservation requirement. We propose and solve the transmission line model that accounts for the local equilibration process and the charge- and energy-conserving dynamics of the collective mode. We find that the correction of the electron distribution function to its eventual equilibrium form scales down slowly as 1/sqrt[L] at long distances L.http://doi.org/10.1103/PhysRevResearch.7.013042 |
| spellingShingle | Edvin G. Idrisov Ivan P. Levkivskyi Eugene V. Sukhorukov Charge-conserving equilibration of quantum Hall edge states Physical Review Research |
| title | Charge-conserving equilibration of quantum Hall edge states |
| title_full | Charge-conserving equilibration of quantum Hall edge states |
| title_fullStr | Charge-conserving equilibration of quantum Hall edge states |
| title_full_unstemmed | Charge-conserving equilibration of quantum Hall edge states |
| title_short | Charge-conserving equilibration of quantum Hall edge states |
| title_sort | charge conserving equilibration of quantum hall edge states |
| url | http://doi.org/10.1103/PhysRevResearch.7.013042 |
| work_keys_str_mv | AT edvingidrisov chargeconservingequilibrationofquantumhalledgestates AT ivanplevkivskyi chargeconservingequilibrationofquantumhalledgestates AT eugenevsukhorukov chargeconservingequilibrationofquantumhalledgestates |