Power-law energy level spacing distributions in fractals
In this paper we investigate the energy spectrum statistics of fractals at the quantum level. We show that the energy level distribution of a fractal follows a power-law behavior, if its energy spectrum is a limit set of piecewise linear functions. We propose that such a behavior is a general featur...
Gespeichert in:
| Veröffentlicht in: | Physical review. B 2019-02, Vol.99 (7), p.075402, Article 075402 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 7 |
| container_start_page | 075402 |
| container_title | Physical review. B |
| container_volume | 99 |
| creator | Iliasov, Askar A. Katsnelson, Mikhail I. Yuan, Shengjun |
| description | In this paper we investigate the energy spectrum statistics of fractals at the quantum level. We show that the energy level distribution of a fractal follows a power-law behavior, if its energy spectrum is a limit set of piecewise linear functions. We propose that such a behavior is a general feature of fractals, which can not be described properly by random matrix theory. Several other arguments for the power-law behavior of the energy level spacing distributions are proposed. |
| doi_str_mv | 10.1103/PhysRevB.99.075402 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2207139103</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2207139103</sourcerecordid><originalsourceid>FETCH-LOGICAL-c275t-b566fcc2b65168105b7629cd93ba6e2914c32e5aa2266dfd479d7d9c060275983</originalsourceid><addsrcrecordid>eNo9kE9LwzAYxoMoOOa-gKeA59Y3aZP0PepQJwwcoueQpunsqG1N2o1-eytVT89zeP7Aj5BrBjFjkNzuPsbw6o73MWIMSqTAz8iCpxIjRInn_17AJVmFcAAAJgEV4IJku_bkfFSbE3WN8_uR1u7oaho6Y6tmT4sq9L7Kh75qm0Crhpbe2N7U4YpclJO41a8uyfvjw9t6E21fnp7Xd9vIciX6KBdSltbyXAomMwYiV5KjLTDJjXQcWWoT7oQxnEtZlEWqsFAFWpAw9TFLluRm3u18-zW40OtDO_hmutScg2IJTgimFJ9T1rcheFfqzlefxo-agf6BpP8gaUQ9Q0q-AQXIWwc</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2207139103</pqid></control><display><type>article</type><title>Power-law energy level spacing distributions in fractals</title><source>American Physical Society Journals</source><creator>Iliasov, Askar A. ; Katsnelson, Mikhail I. ; Yuan, Shengjun</creator><creatorcontrib>Iliasov, Askar A. ; Katsnelson, Mikhail I. ; Yuan, Shengjun</creatorcontrib><description>In this paper we investigate the energy spectrum statistics of fractals at the quantum level. We show that the energy level distribution of a fractal follows a power-law behavior, if its energy spectrum is a limit set of piecewise linear functions. We propose that such a behavior is a general feature of fractals, which can not be described properly by random matrix theory. Several other arguments for the power-law behavior of the energy level spacing distributions are proposed.</description><identifier>ISSN: 2469-9950</identifier><identifier>EISSN: 2469-9969</identifier><identifier>DOI: 10.1103/PhysRevB.99.075402</identifier><language>eng</language><publisher>College Park: American Physical Society</publisher><subject>Energy distribution ; Energy levels ; Energy spectra ; Fractals ; Linear functions ; Matrix theory ; Power law</subject><ispartof>Physical review. B, 2019-02, Vol.99 (7), p.075402, Article 075402</ispartof><rights>Copyright American Physical Society Feb 15, 2019</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c275t-b566fcc2b65168105b7629cd93ba6e2914c32e5aa2266dfd479d7d9c060275983</citedby><cites>FETCH-LOGICAL-c275t-b566fcc2b65168105b7629cd93ba6e2914c32e5aa2266dfd479d7d9c060275983</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,2876,2877,27924,27925</link.rule.ids></links><search><creatorcontrib>Iliasov, Askar A.</creatorcontrib><creatorcontrib>Katsnelson, Mikhail I.</creatorcontrib><creatorcontrib>Yuan, Shengjun</creatorcontrib><title>Power-law energy level spacing distributions in fractals</title><title>Physical review. B</title><description>In this paper we investigate the energy spectrum statistics of fractals at the quantum level. We show that the energy level distribution of a fractal follows a power-law behavior, if its energy spectrum is a limit set of piecewise linear functions. We propose that such a behavior is a general feature of fractals, which can not be described properly by random matrix theory. Several other arguments for the power-law behavior of the energy level spacing distributions are proposed.</description><subject>Energy distribution</subject><subject>Energy levels</subject><subject>Energy spectra</subject><subject>Fractals</subject><subject>Linear functions</subject><subject>Matrix theory</subject><subject>Power law</subject><issn>2469-9950</issn><issn>2469-9969</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNo9kE9LwzAYxoMoOOa-gKeA59Y3aZP0PepQJwwcoueQpunsqG1N2o1-eytVT89zeP7Aj5BrBjFjkNzuPsbw6o73MWIMSqTAz8iCpxIjRInn_17AJVmFcAAAJgEV4IJku_bkfFSbE3WN8_uR1u7oaho6Y6tmT4sq9L7Kh75qm0Crhpbe2N7U4YpclJO41a8uyfvjw9t6E21fnp7Xd9vIciX6KBdSltbyXAomMwYiV5KjLTDJjXQcWWoT7oQxnEtZlEWqsFAFWpAw9TFLluRm3u18-zW40OtDO_hmutScg2IJTgimFJ9T1rcheFfqzlefxo-agf6BpP8gaUQ9Q0q-AQXIWwc</recordid><startdate>20190201</startdate><enddate>20190201</enddate><creator>Iliasov, Askar A.</creator><creator>Katsnelson, Mikhail I.</creator><creator>Yuan, Shengjun</creator><general>American Physical Society</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>H8D</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>20190201</creationdate><title>Power-law energy level spacing distributions in fractals</title><author>Iliasov, Askar A. ; Katsnelson, Mikhail I. ; Yuan, Shengjun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c275t-b566fcc2b65168105b7629cd93ba6e2914c32e5aa2266dfd479d7d9c060275983</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Energy distribution</topic><topic>Energy levels</topic><topic>Energy spectra</topic><topic>Fractals</topic><topic>Linear functions</topic><topic>Matrix theory</topic><topic>Power law</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Iliasov, Askar A.</creatorcontrib><creatorcontrib>Katsnelson, Mikhail I.</creatorcontrib><creatorcontrib>Yuan, Shengjun</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physical review. B</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Iliasov, Askar A.</au><au>Katsnelson, Mikhail I.</au><au>Yuan, Shengjun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Power-law energy level spacing distributions in fractals</atitle><jtitle>Physical review. B</jtitle><date>2019-02-01</date><risdate>2019</risdate><volume>99</volume><issue>7</issue><spage>075402</spage><pages>075402-</pages><artnum>075402</artnum><issn>2469-9950</issn><eissn>2469-9969</eissn><abstract>In this paper we investigate the energy spectrum statistics of fractals at the quantum level. We show that the energy level distribution of a fractal follows a power-law behavior, if its energy spectrum is a limit set of piecewise linear functions. We propose that such a behavior is a general feature of fractals, which can not be described properly by random matrix theory. Several other arguments for the power-law behavior of the energy level spacing distributions are proposed.</abstract><cop>College Park</cop><pub>American Physical Society</pub><doi>10.1103/PhysRevB.99.075402</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2469-9950 |
| ispartof | Physical review. B, 2019-02, Vol.99 (7), p.075402, Article 075402 |
| issn | 2469-9950 2469-9969 |
| language | eng |
| recordid | cdi_proquest_journals_2207139103 |
| source | American Physical Society Journals |
| subjects | Energy distribution Energy levels Energy spectra Fractals Linear functions Matrix theory Power law |
| title | Power-law energy level spacing distributions in fractals |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-28T01%3A38%3A20IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Power-law%20energy%20level%20spacing%20distributions%20in%20fractals&rft.jtitle=Physical%20review.%20B&rft.au=Iliasov,%20Askar%20A.&rft.date=2019-02-01&rft.volume=99&rft.issue=7&rft.spage=075402&rft.pages=075402-&rft.artnum=075402&rft.issn=2469-9950&rft.eissn=2469-9969&rft_id=info:doi/10.1103/PhysRevB.99.075402&rft_dat=%3Cproquest_cross%3E2207139103%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2207139103&rft_id=info:pmid/&rfr_iscdi=true |