{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1360848659368613376.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1088/1742-5468/2014/11/p11020"}},{"identifier":{"@type":"URI","@value":"http://stacks.iop.org/1742-5468/2014/i=11/a=P11020/pdf"}},{"identifier":{"@type":"URI","@value":"http://stacks.iop.org/1742-5468/2014/i=11/a=P11020?key=crossref.e105e21eac7a895445144847a7ba11d1"}},{"identifier":{"@type":"DOI","@value":"10.48550/arxiv.1407.4187"}}],"resourceType":"学術雑誌論文(journal article)","dc:title":[{"@value":"Finite-temperature behavior of an impurity in the spin-1/2 XXZ chain"}],"description":[{"notation":[{"@value":"We study the zero- and the finite-temperature behavior of the integrable spin-1/2 XXZ periodic chain with an impurity by the algebraic and thermal Bethe ansatz methods. We evaluate the impurity local magnetization at zero temperature analytically and derive the impurity susceptibility exactly from it. In the graphs of the impurity specific heat versus temperature, we show how the impurity spin becomes more liberated from the bulk many-body effect as the exchange coupling between the impurity spin and other spins decreases, and also that in low temperature it couples strongly to them such as the Kondo effect. Thus, we observe not only the crossover behavior from the high- to the low-temperature regime but also another one from the $N$-site chain to the $(N-1)$-site chain with a free impurity spin. We also show that the estimate of the Wilson ratio at a given low temperature is independent of the impurity parameter if its absolute value is small enough with respect to the temperature, and the universality class is described by the XXZ anisotropy in terms of the dressed charge."}]},{"notation":[{"@value":"32 pages, 13 figures. To appear in JSTAT"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380848659368613633","@type":"Researcher","foaf:name":[{"@value":"Ryoko Yahagi"}]},{"@id":"https://cir.nii.ac.jp/crid/1420282801183231232","@type":"Researcher","personIdentifier":[{"@type":"KAKEN_RESEARCHERS","@value":"10735723"},{"@type":"NRID","@value":"1000010735723"},{"@type":"NRID","@value":"9000414098803"},{"@type":"NRID","@value":"9000414386780"}],"foaf:name":[{"@value":"Jun Sato"}]},{"@id":"https://cir.nii.ac.jp/crid/1420845751164786048","@type":"Researcher","personIdentifier":[{"@type":"KAKEN_RESEARCHERS","@value":"70227544"},{"@type":"NRID","@value":"1000070227544"},{"@type":"NRID","@value":"9000003315892"},{"@type":"NRID","@value":"9000239572852"},{"@type":"NRID","@value":"9000239574522"},{"@type":"NRID","@value":"9000239575358"},{"@type":"NRID","@value":"9000376937466"},{"@type":"NRID","@value":"9000254139009"},{"@type":"NRID","@value":"9000401858987"},{"@type":"NRID","@value":"9000401891836"},{"@type":"NRID","@value":"9000364897532"},{"@type":"NRID","@value":"9000023634853"},{"@type":"NRID","@value":"9000239575044"},{"@type":"NRID","@value":"9000239575200"},{"@type":"NRID","@value":"9000254568605"},{"@type":"NRID","@value":"9000401864057"},{"@type":"NRID","@value":"9000258195536"},{"@type":"NRID","@value":"9000296673641"},{"@type":"NRID","@value":"9000237741128"},{"@type":"NRID","@value":"9000277500822"},{"@type":"NRID","@value":"9000254137419"},{"@type":"NRID","@value":"9000401951781"},{"@type":"NRID","@value":"9000401867484"},{"@type":"NRID","@value":"9000401871897"},{"@type":"NRID","@value":"9000401894895"},{"@type":"NRID","@value":"9000402475295"},{"@type":"NRID","@value":"9000257984237"},{"@type":"NRID","@value":"9000045669504"},{"@type":"NRID","@value":"9000254571149"},{"@type":"NRID","@value":"9000237702296"},{"@type":"NRID","@value":"9000023638339"},{"@type":"NRID","@value":"9000244016362"},{"@type":"NRID","@value":"9000388526919"},{"@type":"NRID","@value":"9000398806112"},{"@type":"NRID","@value":"9000254565856"},{"@type":"NRID","@value":"9000254135990"},{"@type":"NRID","@value":"9000254138518"},{"@type":"NRID","@value":"9000401858112"},{"@type":"NRID","@value":"9000107351999"},{"@type":"NRID","@value":"9000045643979"},{"@type":"NRID","@value":"9000003313634"},{"@type":"NRID","@value":"9000364897530"},{"@type":"NRID","@value":"9000024266306"},{"@type":"NRID","@value":"9000237742374"},{"@type":"NRID","@value":"9000242842884"},{"@type":"NRID","@value":"9000239575354"},{"@type":"NRID","@value":"9000415062360"},{"@type":"NRID","@value":"9000401865511"},{"@type":"NRID","@value":"9000401886998"},{"@type":"NRID","@value":"9000402475298"},{"@type":"NRID","@value":"9000402475592"},{"@type":"NRID","@value":"9000364886824"},{"@type":"NRID","@value":"9000322093709"},{"@type":"NRID","@value":"9000023649571"},{"@type":"NRID","@value":"9000237741121"},{"@type":"NRID","@value":"9000312842299"},{"@type":"NRID","@value":"9000254564912"},{"@type":"NRID","@value":"9000401858910"},{"@type":"NRID","@value":"9000401860055"},{"@type":"NRID","@value":"9000401861139"},{"@type":"NRID","@value":"9000364889069"},{"@type":"NRID","@value":"9000322093019"},{"@type":"NRID","@value":"9000237742366"},{"@type":"NRID","@value":"9000239575356"},{"@type":"NRID","@value":"9000264244141"},{"@type":"NRID","@value":"9000264243283"},{"@type":"NRID","@value":"9000388526640"},{"@type":"NRID","@value":"9000254564417"},{"@type":"NRID","@value":"9000402476048"},{"@type":"NRID","@value":"9000046036172"},{"@type":"NRID","@value":"9000046035903"},{"@type":"NRID","@value":"9000364895082"},{"@type":"NRID","@value":"9000364884359"},{"@type":"NRID","@value":"9000331910332"},{"@type":"NRID","@value":"9000237741764"},{"@type":"NRID","@value":"9000312842301"},{"@type":"NRID","@value":"9000254137279"},{"@type":"NRID","@value":"9000401951778"},{"@type":"NRID","@value":"9000364893237"},{"@type":"NRID","@value":"9000364893234"},{"@type":"NRID","@value":"9000241164537"},{"@type":"NRID","@value":"9000241165021"},{"@type":"NRID","@value":"9000254570366"},{"@type":"NRID","@value":"9000254568116"},{"@type":"NRID","@value":"9000254564679"},{"@type":"NRID","@value":"9000254139445"},{"@type":"NRID","@value":"9000401867943"},{"@type":"NRID","@value":"9000257992741"},{"@type":"NRID","@value":"9000364784616"},{"@type":"NRID","@value":"9000364897482"},{"@type":"NRID","@value":"9000239575201"},{"@type":"NRID","@value":"9000376938407"},{"@type":"NRID","@value":"9000401861972"},{"@type":"NRID","@value":"9000258200366"},{"@type":"NRID","@value":"9000243739670"},{"@type":"NRID","@value":"9000264243284"},{"@type":"NRID","@value":"9000388526657"},{"@type":"NRID","@value":"9000254565453"},{"@type":"NRID","@value":"9000254569413"},{"@type":"NRID","@value":"9000402475631"},{"@type":"NRID","@value":"9000398816879"},{"@type":"NRID","@value":"9000045671490"},{"@type":"NRID","@value":"9000331910654"},{"@type":"NRID","@value":"9000023649527"},{"@type":"NRID","@value":"9000277501408"},{"@type":"NRID","@value":"9000312843833"},{"@type":"NRID","@value":"9000241164214"},{"@type":"NRID","@value":"9000239572849"},{"@type":"NRID","@value":"9000376937556"},{"@type":"NRID","@value":"9000401859865"},{"@type":"NRID","@value":"9000401858464"},{"@type":"NRID","@value":"9000401857030"},{"@type":"NRID","@value":"9000401885884"},{"@type":"NRID","@value":"9000401896186"},{"@type":"NRID","@value":"9000402476671"},{"@type":"NRID","@value":"9000402475562"},{"@type":"NRID","@value":"9000277508386"},{"@type":"NRID","@value":"9000243739666"},{"@type":"NRID","@value":"9000258201160"},{"@type":"NRID","@value":"9000003354910"},{"@type":"NRID","@value":"9000282391997"},{"@type":"NRID","@value":"9000023645678"},{"@type":"NRID","@value":"9000237739627"},{"@type":"NRID","@value":"9000277500823"},{"@type":"NRID","@value":"9000242843256"},{"@type":"NRID","@value":"9000239575351"},{"@type":"NRID","@value":"9000401864799"},{"@type":"NRID","@value":"9000401865567"},{"@type":"NRID","@value":"9000257992749"},{"@type":"NRID","@value":"9000023649508"},{"@type":"NRID","@value":"9000247075382"},{"@type":"NRID","@value":"9000401868189"},{"@type":"NRID","@value":"9000401890099"},{"@type":"NRID","@value":"9000364897485"},{"@type":"NRID","@value":"9000364895856"},{"@type":"NRID","@value":"9000364897359"},{"@type":"NRID","@value":"9000364897498"},{"@type":"NRID","@value":"9000364892163"},{"@type":"NRID","@value":"9000364889905"},{"@type":"NRID","@value":"9000364893079"},{"@type":"RESEARCHMAP","@value":"https://researchmap.jp/deguchi_tetsuo"}],"foaf:name":[{"@value":"Tetsuo Deguchi"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"17425468"}],"prism:publicationName":[{"@value":"Journal of Statistical Mechanics: Theory and Experiment"}],"dc:publisher":[{"@value":"IOP Publishing"}],"prism:publicationDate":"2014-11-18","prism:volume":"2014","prism:number":"11","prism:startingPage":"P11020"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","dc:rights":["http://iopscience.iop.org/info/page/text-and-data-mining","http://iopscience.iop.org/page/copyright"],"url":[{"@id":"http://stacks.iop.org/1742-5468/2014/i=11/a=P11020/pdf"},{"@id":"http://stacks.iop.org/1742-5468/2014/i=11/a=P11020?key=crossref.e105e21eac7a895445144847a7ba11d1"}],"createdAt":"2014-11-18","modifiedAt":"2020-04-11","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=Statistics,%20Probability%20and%20Uncertainty","dc:title":"Statistics, Probability and Uncertainty"},{"@id":"https://cir.nii.ac.jp/all?q=Statistics%20and%20Probability","dc:title":"Statistics and Probability"},{"@id":"https://cir.nii.ac.jp/all?q=Statistical%20and%20Nonlinear%20Physics","dc:title":"Statistical and Nonlinear Physics"}],"project":[{"@id":"https://cir.nii.ac.jp/crid/1040282257184869120","@type":"Project","projectIdentifier":[{"@type":"KAKEN","@value":"24540396"},{"@type":"JGN","@value":"JP24540396"},{"@type":"URI","@value":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24540396/"}],"notation":[{"@language":"ja","@value":"可積分量子多体系の非平衡ダイナミクスと相関関数：再帰性と量子エルゴ―ド定理の検証"},{"@language":"en","@value":"Non-equilibrium dynamics of integrable quantum many-body systems and their correlation functions: exact study of recurrence and quantum ergodicity"}]}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360011143903919104","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Transmission through barriers and resonant tunneling in an interacting one-dimensional electron gas"}]},{"@id":"https://cir.nii.ac.jp/crid/1360011146498411904","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"The Physics of Dilute Magnetic Alloys"}]},{"@id":"https://cir.nii.ac.jp/crid/1360292620065037184","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Impurity-induced critical behaviour in antiferromagnetic Heisenberg chains"}]},{"@id":"https://cir.nii.ac.jp/crid/1360292620601665664","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Exact results in the theory of magnetic alloys"}]},{"@id":"https://cir.nii.ac.jp/crid/1360566396826536832","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Resistance Minimum in Dilute Magnetic Alloys"}]},{"@id":"https://cir.nii.ac.jp/crid/1360574094291850496","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Correlation functions of the XXZ Heisenberg spin- chain in a magnetic field"}]},{"@id":"https://cir.nii.ac.jp/crid/1360855569460645120","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Transport in a one-channel Luttinger liquid"}]},{"@id":"https://cir.nii.ac.jp/crid/1361137044325092224","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Bethe-ansatz quantum sine-Gordon thermodynamics. The specific heat"}]},{"@id":"https://cir.nii.ac.jp/crid/1361418518822333440","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"The renormalization group: Critical phenomena and the Kondo problem"}]},{"@id":"https://cir.nii.ac.jp/crid/1361418519950233600","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Disordered magnetic impurities in uniaxial critical quantum spin chains"}]},{"@id":"https://cir.nii.ac.jp/crid/1361418520067039872","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Exact Thermodynamics of Disordered Impurities in Quantum Spin Chains"}]},{"@id":"https://cir.nii.ac.jp/crid/1361418520463573632","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems"}]},{"@id":"https://cir.nii.ac.jp/crid/1361699994231512960","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Renormalization-group analysis of the one-dimensional extended Hubbard model with a single impurity"}]},{"@id":"https://cir.nii.ac.jp/crid/1361699994401969280","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Thermodynamics of One-Dimensional Solvable Models"}]},{"@id":"https://cir.nii.ac.jp/crid/1361699994781399040","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"An Exactly Soluble Model of a Many-Fermion System"}]},{"@id":"https://cir.nii.ac.jp/crid/1362262943545764864","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Susceptibility of the spin 1/2 Heisenberg antiferromagnetic chain"}]},{"@id":"https://cir.nii.ac.jp/crid/1362262944189334144","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Critical exponents for integrable models"}]},{"@id":"https://cir.nii.ac.jp/crid/1362262945974688384","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Tunneling in one-dimensional non-Luttinger electron liquid"}]},{"@id":"https://cir.nii.ac.jp/crid/1362262946394455296","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Heisenberg chain with impurities (an integrable model)"}]},{"@id":"https://cir.nii.ac.jp/crid/1362544419175528832","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Critical theory of overscreened Kondo fixed points"}]},{"@id":"https://cir.nii.ac.jp/crid/1362544420401765632","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"The open spin chain with impurity: an exact solution"}]},{"@id":"https://cir.nii.ac.jp/crid/1362544421226051584","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Exact, asymptotic, three-dimensional, space- and time-dependent, Green’s functions in the multichannel Kondo effect"}]},{"@id":"https://cir.nii.ac.jp/crid/1362825893485775872","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Microscopic calculations of the finite-size spectrum in the Kondo problem"}]},{"@id":"https://cir.nii.ac.jp/crid/1362825893776500096","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Finite Size Effects in Correlated Electron Models"}]},{"@id":"https://cir.nii.ac.jp/crid/1362825894890628096","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Magnetic impurities in half-integer-spin Heisenberg antiferromagnetic chains"}]},{"@id":"https://cir.nii.ac.jp/crid/1362825896014326656","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Absence of backscattering at integrable impurities in one-dimensional quantum many-body systems"}]},{"@id":"https://cir.nii.ac.jp/crid/1363107368359829632","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Solution of the Kondo problem"}]},{"@id":"https://cir.nii.ac.jp/crid/1363107368788085888","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"The electrical resistance of gold, copper and lead at low temperatures"}]},{"@id":"https://cir.nii.ac.jp/crid/1363107369966970880","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Single-barrier problem and Anderson localization in a one-dimensional interacting electron system"}]},{"@id":"https://cir.nii.ac.jp/crid/1363107370511233664","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Multichannel Kondo problem and some applications"}]},{"@id":"https://cir.nii.ac.jp/crid/1363388843532809344","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Impurity in a Luttinger liquid away from half-filling: A numerical study"}]},{"@id":"https://cir.nii.ac.jp/crid/1363388844464326912","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"The Kondo Problem to Heavy Fermions"}]},{"@id":"https://cir.nii.ac.jp/crid/1363388846099678336","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Non-Fermi-liquid behavior of impurity spins in the anisotropic Heisenberg chain"}]},{"@id":"https://cir.nii.ac.jp/crid/1363388846219706752","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Conduction of a weakly interacting one-dimensional electron gas through a single barrier"}]},{"@id":"https://cir.nii.ac.jp/crid/1363670318444306432","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Magnetic impurity in a Luttinger liquid: A conformal field theory approach"}]},{"@id":"https://cir.nii.ac.jp/crid/1363670318871671040","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"One-Dimensional Chain of Anisotropic Spin-Spin Interactions. II. Properties of the Ground-State Energy Per Lattice Site for an Infinite System"}]},{"@id":"https://cir.nii.ac.jp/crid/1363951793307118208","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Thermionic effect in a quasi-one-dimensional conductor in the Luttinger state stabilized by impurities at low temperatures"}]},{"@id":"https://cir.nii.ac.jp/crid/1364233270220318720","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"A ?fermi-liquid? description of the Kondo problem at low temperatures"}]},{"@id":"https://cir.nii.ac.jp/crid/1364233270637581696","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"The anisotropic multichannel spin-$\\mathsf{S}$ Kondo model: Calculation of scales from a novel exact solution"}]},{"@id":"https://cir.nii.ac.jp/crid/1520010379938836864","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Onc-dimensional anisotropic Heisenberg model at finite temperatures"},{"@language":"ja-Kana","@value":"Onc-dimensional anisotropic Heisenberg model at finite temperatures"}]},{"@id":"https://cir.nii.ac.jp/crid/1522262179906888192","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Low-temperature specific heat ofspin-1/2 anisotropic Heisenberg Ring"},{"@language":"ja-Kana","@value":"Low-temperature specific heat ofspin-1 2 anisotropic Heisenberg Ring"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1088/1742-5468/2014/11/p11020"},{"@type":"KAKEN","@value":"PRODUCT-14645420"},{"@type":"OPENAIRE","@value":"doi_dedup___::a50e2ddd4f27c86b5edea132a072407c"}]}