Environmental induced renormalization effects in quantum Hall edge states due to 1/ f noise and dissipation. Braggio, A., Ferraro, D., Carrega, M., Magnoli, N., & Sassetti, M. New Journal of Physics, 14(9):093032, IOP Publishing, 9, 2012.
Website doi abstract bibtex 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.
@article{
title = {Environmental induced renormalization effects in quantum Hall edge states due to 1/ f noise and dissipation},
type = {article},
year = {2012},
pages = {093032},
volume = {14},
websites = {http://dx.doi.org/10.1088/1367-2630/14/9/093032},
month = {9},
publisher = {IOP Publishing},
day = {17},
id = {a7cb11ab-a640-3a60-9f52-ce8624aaac7e},
created = {2021-10-22T17:54:33.272Z},
file_attached = {false},
profile_id = {c7cbc68e-8b7c-3e7e-a55d-e02e1b0580e8},
last_modified = {2021-10-25T06:47:38.597Z},
read = {false},
starred = {false},
authored = {true},
confirmed = {true},
hidden = {false},
citation_key = {Braggio:NJP:2012},
source_type = {article},
private_publication = {false},
abstract = {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.},
bibtype = {article},
author = {Braggio, A and Ferraro, D and Carrega, M and Magnoli, N and Sassetti, M},
doi = {10.1088/1367-2630/14/9/093032},
journal = {New Journal of Physics},
number = {9}
}
Downloads: 0
{"_id":"C6ibEbsTgrJyKMzcC","bibbaseid":"braggio-ferraro-carrega-magnoli-sassetti-environmentalinducedrenormalizationeffectsinquantumhalledgestatesdueto1fnoiseanddissipation-2012","author_short":["Braggio, A.","Ferraro, D.","Carrega, M.","Magnoli, N.","Sassetti, M."],"bibdata":{"title":"Environmental induced renormalization effects in quantum Hall edge states due to 1/ f noise and dissipation","type":"article","year":"2012","pages":"093032","volume":"14","websites":"http://dx.doi.org/10.1088/1367-2630/14/9/093032","month":"9","publisher":"IOP Publishing","day":"17","id":"a7cb11ab-a640-3a60-9f52-ce8624aaac7e","created":"2021-10-22T17:54:33.272Z","file_attached":false,"profile_id":"c7cbc68e-8b7c-3e7e-a55d-e02e1b0580e8","last_modified":"2021-10-25T06:47:38.597Z","read":false,"starred":false,"authored":"true","confirmed":"true","hidden":false,"citation_key":"Braggio:NJP:2012","source_type":"article","private_publication":false,"abstract":"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.","bibtype":"article","author":"Braggio, A and Ferraro, D and Carrega, M and Magnoli, N and Sassetti, M","doi":"10.1088/1367-2630/14/9/093032","journal":"New Journal of Physics","number":"9","bibtex":"@article{\n title = {Environmental induced renormalization effects in quantum Hall edge states due to 1/ f noise and dissipation},\n type = {article},\n year = {2012},\n pages = {093032},\n volume = {14},\n websites = {http://dx.doi.org/10.1088/1367-2630/14/9/093032},\n month = {9},\n publisher = {IOP Publishing},\n day = {17},\n id = {a7cb11ab-a640-3a60-9f52-ce8624aaac7e},\n created = {2021-10-22T17:54:33.272Z},\n file_attached = {false},\n profile_id = {c7cbc68e-8b7c-3e7e-a55d-e02e1b0580e8},\n last_modified = {2021-10-25T06:47:38.597Z},\n read = {false},\n starred = {false},\n authored = {true},\n confirmed = {true},\n hidden = {false},\n citation_key = {Braggio:NJP:2012},\n source_type = {article},\n private_publication = {false},\n abstract = {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.},\n bibtype = {article},\n author = {Braggio, A and Ferraro, D and Carrega, M and Magnoli, N and Sassetti, M},\n doi = {10.1088/1367-2630/14/9/093032},\n journal = {New Journal of Physics},\n number = {9}\n}","author_short":["Braggio, A.","Ferraro, D.","Carrega, M.","Magnoli, N.","Sassetti, M."],"urls":{"Website":"http://dx.doi.org/10.1088/1367-2630/14/9/093032"},"biburl":"https://bibbase.org/service/mendeley/c7cbc68e-8b7c-3e7e-a55d-e02e1b0580e8","bibbaseid":"braggio-ferraro-carrega-magnoli-sassetti-environmentalinducedrenormalizationeffectsinquantumhalledgestatesdueto1fnoiseanddissipation-2012","role":"author","metadata":{"authorlinks":{}},"html":""},"bibtype":"article","biburl":"https://bibbase.org/service/mendeley/c7cbc68e-8b7c-3e7e-a55d-e02e1b0580e8","dataSources":["saG9iafDvLnTzsEPZ","7yFHLsPsZcFGZtaN2","zpipxwGFmLF9nKGcb","X8T3QgdG2e5qpLsz5","Jt7o5NtvxXeDPKAxu","2252seNhipfTmjEBQ"],"keywords":[],"search_terms":["environmental","induced","renormalization","effects","quantum","hall","edge","states","due","noise","dissipation","braggio","ferraro","carrega","magnoli","sassetti"],"title":"Environmental induced renormalization effects in quantum Hall edge states due to 1/ f noise and dissipation","year":2012}