{"id":"https://openalex.org/W2083222003","doi":"https://doi.org/10.1088/0022-3719/16/24/015","title":"Eigenfunction in disordered systems near the mobility edge","display_name":"Eigenfunction in disordered systems near the mobility edge","publication_year":1983,"publication_date":"1983-08-30","ids":{"openalex":"https://openalex.org/W2083222003","doi":"https://doi.org/10.1088/0022-3719/16/24/015","mag":"2083222003"},"language":"en","primary_location":{"id":"doi:10.1088/0022-3719/16/24/015","doi":"https://doi.org/10.1088/0022-3719/16/24/015","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0022-3719/16/24/015","pdf_url":"https://iopscience.iop.org/article/10.1088/0022-3719/16/24/015/pdf","source":{"id":"https://openalex.org/S164261264","display_name":"Journal of Physics C Solid State Physics","issn_l":"0022-3719","issn":["0022-3719","1747-3802"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics C: Solid State Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1088/0022-3719/16/24/015/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042853291","display_name":"A. Brezini","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I12323705","display_name":"The Abdus Salam International Centre for Theoretical Physics (ICTP)","ror":"https://ror.org/009gyvm78","country_code":"IT","type":"facility","lineage":["https://openalex.org/I12323705","https://openalex.org/I1286959531","https://openalex.org/I1293226324","https://openalex.org/I2801247003"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"A Brezini","raw_affiliation_strings":["Internat. Center for Theoretical Phys., Trieste, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Internat. Center for Theoretical Phys., Trieste, Italy","institution_ids":["https://openalex.org/I12323705"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042853291"],"corresponding_institution_ids":["https://openalex.org/I12323705"],"apc_list":null,"apc_paid":null,"fwci":0.8164,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73112932,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"16","issue":"24","first_page":"4839","last_page":"4847"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.7006999850273132,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.7006999850273132,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.15489999949932098,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10382","display_name":"Quantum and electron transport phenomena","score":0.045099999755620956,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/anderson-localization","display_name":"Anderson localization","score":0.7099999785423279},{"id":"https://openalex.org/keywords/mobility-edge","display_name":"mobility edge","score":0.7720000147819519},{"id":"https://openalex.org/keywords/disordered-systems","display_name":"disordered systems","score":0.8379999995231628},{"id":"https://openalex.org/keywords/cayley-tree","display_name":"Cayley tree","score":0.7739999890327454},{"id":"https://openalex.org/keywords/eigenfunction-statistics","display_name":"eigenfunction statistics","score":0.597000002861023},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.7279999852180481},{"id":"https://openalex.org/keywords/weak-disorder","display_name":"weak disorder","score":0.7870000004768372},{"id":"https://openalex.org/keywords/one-dimensional-localization","display_name":"one-dimensional localization","score":0.39899998903274536}],"concepts":[{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.7822629809379578},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.6437652707099915},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5303072929382324},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5249733328819275},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5132967829704285},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4983806610107422},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.48460158705711365},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4051420986652374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3888781666755676},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.305397629737854},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1679714322090149},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.15285003185272217},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11576607823371887},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/0022-3719/16/24/015","doi":"https://doi.org/10.1088/0022-3719/16/24/015","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0022-3719/16/24/015","pdf_url":"https://iopscience.iop.org/article/10.1088/0022-3719/16/24/015/pdf","source":{"id":"https://openalex.org/S164261264","display_name":"Journal of Physics C Solid State Physics","issn_l":"0022-3719","issn":["0022-3719","1747-3802"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics C: Solid State Physics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1088/0022-3719/16/24/015","doi":"https://doi.org/10.1088/0022-3719/16/24/015","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0022-3719/16/24/015","pdf_url":"https://iopscience.iop.org/article/10.1088/0022-3719/16/24/015/pdf","source":{"id":"https://openalex.org/S164261264","display_name":"Journal of Physics C Solid State Physics","issn_l":"0022-3719","issn":["0022-3719","1747-3802"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics C: Solid State Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322679","display_name":"International Atomic Energy Agency","ror":"https://ror.org/02zt1gg83"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2083222003.pdf","grobid_xml":"https://content.openalex.org/works/W2083222003.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1970768087","https://openalex.org/W1978931910","https://openalex.org/W1990565985","https://openalex.org/W2036663389","https://openalex.org/W2047874787","https://openalex.org/W2056657540","https://openalex.org/W2064975723","https://openalex.org/W2070248434","https://openalex.org/W2079863266","https://openalex.org/W2087375600","https://openalex.org/W2087583145","https://openalex.org/W2146859865","https://openalex.org/W2264002775","https://openalex.org/W2326878643"],"related_works":["https://openalex.org/W2042348496","https://openalex.org/W2056657540","https://openalex.org/W2087583145","https://openalex.org/W2091053061","https://openalex.org/W2146859865","https://openalex.org/W2024999954","https://openalex.org/W1981997118","https://openalex.org/W1984941385","https://openalex.org/W1978931910","https://openalex.org/W2046032200"],"abstract_inverted_index":{"A":[0],"model":[1],"is":[2,53],"proposed":[3],"to":[4,55],"calculate":[5],"the":[6,10,14,37,43,46,56,59,63,71,77],"average":[7,11],"probability":[8],"and":[9],"size":[12],"of":[13,39,45],"localisation":[15],"domain":[16],"for":[17,49,76,80],"an":[18],"electron":[19],"being":[20],"localised":[21,64],"at":[22],"a":[23,27],"given":[24],"site":[25,50],"in":[26,36,42,62,70],"Cayley":[28],"tree":[29],"lattice.":[30],"The":[31],"numerical":[32],"results":[33],"are":[34,74],"presented":[35],"limit":[38],"weak":[40],"disorder":[41],"case":[44,73],"Cauchy":[47],"distribution":[48],"energies.":[51],"Attention":[52],"paid":[54],"states":[57],"near":[58],"mobility":[60],"edge":[61],"regime.":[65],"In":[66],"particular,":[67],"features":[68],"exhibited":[69],"linear-chain":[72],"observed":[75],"first":[78],"time":[79],"higher":[81],"dimensions.":[82]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2016-06-24T00:00:00"}