Machine Learning Study on the Flat-Band States Constructed by Molecular-Orbital Representation with Randomness

التفاصيل البيبلوغرافية
العنوان: Machine Learning Study on the Flat-Band States Constructed by Molecular-Orbital Representation with Randomness
المؤلفون: Kuroda, Takumi, Mizoguchi, Tomonari, Araki, Hiromu, Hatsugai, Yasuhiro
المصدر: J. Phys. Soc. Jpn. 91, 044703 (2022)
سنة النشر: 2021
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Mesoscale and Nanoscale Physics
الوصف: We study the characteristic probability density distribution of random flat band models by machine learning. The models considered here are constructed on the basis of the molecular-orbital representation, which guarantees the existence of the macroscopically degenerate zero-energy modes even in the presence of randomness. We find that flat band states are successfully distinguished from conventional extended and localized states, indicating the characteristic feature of the flat band states. We also find that the flat band states can be detected when the target data are defined in the different lattice from the training data, which implies the universal feature of the flat band states constructed by the molecular-orbital representation.
Comment: 6 pages, 7 figures
نوع الوثيقة: Working Paper
DOI: 10.7566/JPSJ.91.044703
URL الوصول: http://arxiv.org/abs/2111.15177
رقم الانضمام: edsarx.2111.15177
قاعدة البيانات: arXiv
ResultId 1
Header edsarx
arXiv
edsarx.2111.15177
1022
3
Report
report
1021.68157958984
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsarx&AN=edsarx.2111.15177&custid=s6537998&authtype=sso
FullText Array ( [Availability] => 0 )
Array ( [0] => Array ( [Url] => http://arxiv.org/abs/2111.15177 [Name] => EDS - Arxiv [Category] => fullText [Text] => View record in Arxiv [MouseOverText] => View record in Arxiv ) )
Items Array ( [Name] => Title [Label] => Title [Group] => Ti [Data] => Machine Learning Study on the Flat-Band States Constructed by Molecular-Orbital Representation with Randomness )
Array ( [Name] => Author [Label] => Authors [Group] => Au [Data] => <searchLink fieldCode="AR" term="%22Kuroda%2C+Takumi%22">Kuroda, Takumi</searchLink><br /><searchLink fieldCode="AR" term="%22Mizoguchi%2C+Tomonari%22">Mizoguchi, Tomonari</searchLink><br /><searchLink fieldCode="AR" term="%22Araki%2C+Hiromu%22">Araki, Hiromu</searchLink><br /><searchLink fieldCode="AR" term="%22Hatsugai%2C+Yasuhiro%22">Hatsugai, Yasuhiro</searchLink> )
Array ( [Name] => TitleSource [Label] => Source [Group] => Src [Data] => J. Phys. Soc. Jpn. 91, 044703 (2022) )
Array ( [Name] => DatePubCY [Label] => Publication Year [Group] => Date [Data] => 2021 )
Array ( [Name] => Subset [Label] => Collection [Group] => HoldingsInfo [Data] => Condensed Matter )
Array ( [Name] => Subject [Label] => Subject Terms [Group] => Su [Data] => <searchLink fieldCode="DE" term="%22Condensed+Matter+-+Mesoscale+and+Nanoscale+Physics%22">Condensed Matter - Mesoscale and Nanoscale Physics</searchLink> )
Array ( [Name] => Abstract [Label] => Description [Group] => Ab [Data] => We study the characteristic probability density distribution of random flat band models by machine learning. The models considered here are constructed on the basis of the molecular-orbital representation, which guarantees the existence of the macroscopically degenerate zero-energy modes even in the presence of randomness. We find that flat band states are successfully distinguished from conventional extended and localized states, indicating the characteristic feature of the flat band states. We also find that the flat band states can be detected when the target data are defined in the different lattice from the training data, which implies the universal feature of the flat band states constructed by the molecular-orbital representation.<br />Comment: 6 pages, 7 figures )
Array ( [Name] => TypeDocument [Label] => Document Type [Group] => TypDoc [Data] => Working Paper )
Array ( [Name] => DOI [Label] => DOI [Group] => ID [Data] => 10.7566/JPSJ.91.044703 )
Array ( [Name] => URL [Label] => Access URL [Group] => URL [Data] => <link linkTarget="URL" linkTerm="http://arxiv.org/abs/2111.15177" linkWindow="_blank">http://arxiv.org/abs/2111.15177</link> )
Array ( [Name] => AN [Label] => Accession Number [Group] => ID [Data] => edsarx.2111.15177 )
RecordInfo Array ( [BibEntity] => Array ( [Identifiers] => Array ( [0] => Array ( [Type] => doi [Value] => 10.7566/JPSJ.91.044703 ) ) [Subjects] => Array ( [0] => Array ( [SubjectFull] => Condensed Matter - Mesoscale and Nanoscale Physics [Type] => general ) ) [Titles] => Array ( [0] => Array ( [TitleFull] => Machine Learning Study on the Flat-Band States Constructed by Molecular-Orbital Representation with Randomness [Type] => main ) ) ) [BibRelationships] => Array ( [HasContributorRelationships] => Array ( [0] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => Kuroda, Takumi ) ) ) [1] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => Mizoguchi, Tomonari ) ) ) [2] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => Araki, Hiromu ) ) ) [3] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => Hatsugai, Yasuhiro ) ) ) ) [IsPartOfRelationships] => Array ( [0] => Array ( [BibEntity] => Array ( [Dates] => Array ( [0] => Array ( [D] => 30 [M] => 11 [Type] => published [Y] => 2021 ) ) ) ) ) ) )
IllustrationInfo