Environmental induced renormalization effects in quantum Hall edge states due to 1/f noise and dissipation
We propose a general mechanism for the renormalization of the tunnelling exponents in edge states of the fractional quantum Hall effect. Mutual effects of the coupling with out-of-equilibrium 1/ f noise and dissipation are considered for both the Laughlin sequence and the composite co- and counter-p...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2012-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/14/9/093032 |
| _version_ | 1827874587866562560 |
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| author | A Braggio D Ferraro M Carrega N Magnoli M Sassetti |
| author_facet | A Braggio D Ferraro M Carrega N Magnoli M Sassetti |
| author_sort | A Braggio |
| collection | DOAJ |
| description | We propose a general mechanism for the renormalization of the tunnelling exponents in edge states of the fractional quantum Hall effect. Mutual effects of the coupling with out-of-equilibrium 1/ f noise and dissipation are considered for both the Laughlin sequence and the composite co- and counter-propagating edge states with Abelian or non-Abelian statistics. For states with counter-propagating modes, we demonstrate the robustness of the proposed mechanism in the so-called disorder-dominated phase. Prototypes of these states, such as ν = 2/3 and ν = 5/2, are discussed in detail, and the rich phenomenology induced by the presence of a noisy environment is presented. The proposed mechanism could help justify the strong renormalizations reported in many experimental observations carried out at low temperatures. We show how environmental effects could affect the relevance of the tunnelling excitations, leading to important implications, in particular for the ν = 5/2 case. |
| first_indexed | 2024-03-12T16:54:01Z |
| format | Article |
| id | doaj.art-cf40a1f9a5a94f308de1cbdb0dfcff99 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:54:01Z |
| publishDate | 2012-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-cf40a1f9a5a94f308de1cbdb0dfcff992023-08-08T11:02:29ZengIOP PublishingNew Journal of Physics1367-26302012-01-0114909303210.1088/1367-2630/14/9/093032Environmental induced renormalization effects in quantum Hall edge states due to 1/f noise and dissipationA Braggio0D Ferraro1M Carrega2N Magnoli3M Sassetti4SPIN-CNR, Via Dodecaneso 33, 16146 Genova, ItalySPIN-CNR, Via Dodecaneso 33, 16146 Genova, Italy; Dipartimento di Fisica, Università di Genova , Via Dodecaneso 33, 16146 Genova, Italy; INFN, Sezione di Genova, Via Dodecaneso 33, 16146 Genova, ItalyNEST, Istituto Nanoscienze-CNR , and Scuola Normale Superiore, I-56126 Pisa, ItalyDipartimento di Fisica, Università di Genova , Via Dodecaneso 33, 16146 Genova, Italy; INFN, Sezione di Genova, Via Dodecaneso 33, 16146 Genova, ItalySPIN-CNR, Via Dodecaneso 33, 16146 Genova, Italy; Dipartimento di Fisica, Università di Genova , Via Dodecaneso 33, 16146 Genova, ItalyWe propose a general mechanism for the renormalization of the tunnelling exponents in edge states of the fractional quantum Hall effect. Mutual effects of the coupling with out-of-equilibrium 1/ f noise and dissipation are considered for both the Laughlin sequence and the composite co- and counter-propagating edge states with Abelian or non-Abelian statistics. For states with counter-propagating modes, we demonstrate the robustness of the proposed mechanism in the so-called disorder-dominated phase. Prototypes of these states, such as ν = 2/3 and ν = 5/2, are discussed in detail, and the rich phenomenology induced by the presence of a noisy environment is presented. The proposed mechanism could help justify the strong renormalizations reported in many experimental observations carried out at low temperatures. We show how environmental effects could affect the relevance of the tunnelling excitations, leading to important implications, in particular for the ν = 5/2 case.https://doi.org/10.1088/1367-2630/14/9/093032 |
| spellingShingle | A Braggio D Ferraro M Carrega N Magnoli M Sassetti Environmental induced renormalization effects in quantum Hall edge states due to 1/f noise and dissipation New Journal of Physics |
| title | Environmental induced renormalization effects in quantum Hall edge states due to 1/f noise and dissipation |
| title_full | Environmental induced renormalization effects in quantum Hall edge states due to 1/f noise and dissipation |
| title_fullStr | Environmental induced renormalization effects in quantum Hall edge states due to 1/f noise and dissipation |
| title_full_unstemmed | Environmental induced renormalization effects in quantum Hall edge states due to 1/f noise and dissipation |
| title_short | Environmental induced renormalization effects in quantum Hall edge states due to 1/f noise and dissipation |
| title_sort | environmental induced renormalization effects in quantum hall edge states due to 1 f noise and dissipation |
| url | https://doi.org/10.1088/1367-2630/14/9/093032 |
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