Analytical results for scaling properties of the spectrum of the Fibonacci chain

We solve the approximate renormalization group found by Niu and Nori for a quasiperiodic tight-binding Hamiltonian on the Fibonacci chain. This enables us to characterize analytically the spectral properties of this model.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Physical review letters 1995-06, Vol.74 (26), p.5248-5251
Hauptverfasser: Piéchon, F, Benakli, M, Jagannathan, A
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 5251
container_issue 26
container_start_page 5248
container_title Physical review letters
container_volume 74
creator Piéchon, F
Benakli, M
Jagannathan, A
description We solve the approximate renormalization group found by Niu and Nori for a quasiperiodic tight-binding Hamiltonian on the Fibonacci chain. This enables us to characterize analytically the spectral properties of this model.
doi_str_mv 10.1103/physrevlett.74.5248
format Article
fullrecord <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_04190755v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1859296041</sourcerecordid><originalsourceid>FETCH-LOGICAL-c453t-8e37d873958bf1f477d0149c5aa5ae6b14143792e30560125bc567d0b71458713</originalsourceid><addsrcrecordid>eNpNkN9LwzAQx4MoOn_8BYL0UR8675qkaR_HUCcUFNHnkGapi3RtTdLB_nszNsWnI8fne3f5EHKNMEUEej-stt6ZTWtCmAo25RkrjsgEQZSpQGTHZAJAMS0BxBk59_4LADDLi1NyhgC8EBlMyOusU-02WK3axBk_tsEnTe8SHxu2-0wG1w_GBWt80jdJWJnED0YHN65_34-27jultU30Stnukpw0qvXm6lAvyMfjw_t8kVYvT8_zWZVqxmlIC0PFshC05EXdYMOEWAKyUnOluDJ5jQwZFWVmKPA8ns1rzfPI1AJZPB3pBbnbz12pVg7OrpXbyl5ZuZhVctcDhiUIzjc79nbPxt98j8YHubZem7ZVnelHL7HgZVbmMRFRuke1633U2_zNRpA77fI1an8zmypql4LJnfaYujksGOu1Wf7L7D3TH2bZf3Y</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1859296041</pqid></control><display><type>article</type><title>Analytical results for scaling properties of the spectrum of the Fibonacci chain</title><source>American Physical Society Journals</source><creator>Piéchon, F ; Benakli, M ; Jagannathan, A</creator><creatorcontrib>Piéchon, F ; Benakli, M ; Jagannathan, A</creatorcontrib><description>We solve the approximate renormalization group found by Niu and Nori for a quasiperiodic tight-binding Hamiltonian on the Fibonacci chain. This enables us to characterize analytically the spectral properties of this model.</description><identifier>ISSN: 0031-9007</identifier><identifier>EISSN: 1079-7114</identifier><identifier>DOI: 10.1103/physrevlett.74.5248</identifier><identifier>PMID: 10058720</identifier><language>eng</language><publisher>United States: American Physical Society</publisher><subject>Physics</subject><ispartof>Physical review letters, 1995-06, Vol.74 (26), p.5248-5251</ispartof><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c453t-8e37d873958bf1f477d0149c5aa5ae6b14143792e30560125bc567d0b71458713</citedby><cites>FETCH-LOGICAL-c453t-8e37d873958bf1f477d0149c5aa5ae6b14143792e30560125bc567d0b71458713</cites><orcidid>0000-0001-9875-4967</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,780,784,885,2876,2877,27924,27925</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/10058720$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://hal.science/hal-04190755$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Piéchon, F</creatorcontrib><creatorcontrib>Benakli, M</creatorcontrib><creatorcontrib>Jagannathan, A</creatorcontrib><title>Analytical results for scaling properties of the spectrum of the Fibonacci chain</title><title>Physical review letters</title><addtitle>Phys Rev Lett</addtitle><description>We solve the approximate renormalization group found by Niu and Nori for a quasiperiodic tight-binding Hamiltonian on the Fibonacci chain. This enables us to characterize analytically the spectral properties of this model.</description><subject>Physics</subject><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1995</creationdate><recordtype>article</recordtype><recordid>eNpNkN9LwzAQx4MoOn_8BYL0UR8675qkaR_HUCcUFNHnkGapi3RtTdLB_nszNsWnI8fne3f5EHKNMEUEej-stt6ZTWtCmAo25RkrjsgEQZSpQGTHZAJAMS0BxBk59_4LADDLi1NyhgC8EBlMyOusU-02WK3axBk_tsEnTe8SHxu2-0wG1w_GBWt80jdJWJnED0YHN65_34-27jultU30Stnukpw0qvXm6lAvyMfjw_t8kVYvT8_zWZVqxmlIC0PFshC05EXdYMOEWAKyUnOluDJ5jQwZFWVmKPA8ns1rzfPI1AJZPB3pBbnbz12pVg7OrpXbyl5ZuZhVctcDhiUIzjc79nbPxt98j8YHubZem7ZVnelHL7HgZVbmMRFRuke1633U2_zNRpA77fI1an8zmypql4LJnfaYujksGOu1Wf7L7D3TH2bZf3Y</recordid><startdate>19950626</startdate><enddate>19950626</enddate><creator>Piéchon, F</creator><creator>Benakli, M</creator><creator>Jagannathan, A</creator><general>American Physical Society</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0000-0001-9875-4967</orcidid></search><sort><creationdate>19950626</creationdate><title>Analytical results for scaling properties of the spectrum of the Fibonacci chain</title><author>Piéchon, F ; Benakli, M ; Jagannathan, A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c453t-8e37d873958bf1f477d0149c5aa5ae6b14143792e30560125bc567d0b71458713</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1995</creationdate><topic>Physics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Piéchon, F</creatorcontrib><creatorcontrib>Benakli, M</creatorcontrib><creatorcontrib>Jagannathan, A</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Physical review letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Piéchon, F</au><au>Benakli, M</au><au>Jagannathan, A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical results for scaling properties of the spectrum of the Fibonacci chain</atitle><jtitle>Physical review letters</jtitle><addtitle>Phys Rev Lett</addtitle><date>1995-06-26</date><risdate>1995</risdate><volume>74</volume><issue>26</issue><spage>5248</spage><epage>5251</epage><pages>5248-5251</pages><issn>0031-9007</issn><eissn>1079-7114</eissn><abstract>We solve the approximate renormalization group found by Niu and Nori for a quasiperiodic tight-binding Hamiltonian on the Fibonacci chain. This enables us to characterize analytically the spectral properties of this model.</abstract><cop>United States</cop><pub>American Physical Society</pub><pmid>10058720</pmid><doi>10.1103/physrevlett.74.5248</doi><tpages>4</tpages><orcidid>https://orcid.org/0000-0001-9875-4967</orcidid><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0031-9007
ispartof Physical review letters, 1995-06, Vol.74 (26), p.5248-5251
issn 0031-9007
1079-7114
language eng
recordid cdi_hal_primary_oai_HAL_hal_04190755v1
source American Physical Society Journals
subjects Physics
title Analytical results for scaling properties of the spectrum of the Fibonacci chain
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-01T21%3A25%3A02IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Analytical%20results%20for%20scaling%20properties%20of%20the%20spectrum%20of%20the%20Fibonacci%20chain&rft.jtitle=Physical%20review%20letters&rft.au=Pi%C3%A9chon,%20F&rft.date=1995-06-26&rft.volume=74&rft.issue=26&rft.spage=5248&rft.epage=5251&rft.pages=5248-5251&rft.issn=0031-9007&rft.eissn=1079-7114&rft_id=info:doi/10.1103/physrevlett.74.5248&rft_dat=%3Cproquest_hal_p%3E1859296041%3C/proquest_hal_p%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1859296041&rft_id=info:pmid/10058720&rfr_iscdi=true