The isotropic XY model on the inhomogeneous periodic chain

Show simple item record Lima, J. P. de Alves, TFA Goncalves, L. L. 2016-01-24T12:41:01Z 2016-01-24T12:41:01Z 2006-03-01
dc.identifier.citation Journal of Magnetism and Magnetic Materials. Amsterdam: Elsevier B.V., v. 298, n. 2, p. 95-121, 2006.
dc.identifier.issn 0304-8853
dc.description.abstract The static and dynamic properties of the isotropic XY-model (s = 1/2) on the inhomogeneous periodic chain, composed of N segments with n different exchange interactions and magnetic moments, in a transverse field h, are obtained exactly at arbitrary temperatures. the properties are determined by introducing the generalized Jordan - Wigner transformation and by reducing the problem to a diagonalization of a finite matrix of nth order. the diagonalization procedure is discussed in detail and the critical behaviour induced by the transverse field, at T = 0, is presented. the quantum transitions are determined by analyzing the behaviour of the induced magnetization, defined as (1/n) Sigma(m=1)(n) mu(m) [S-j,m(z)] where mu(m) is the magnetic moment at site in within the segment j, as a function of the field, and the critical fields determined exactly. the dynamic correlations, [S-j,m(z)(t)S-j,m(z) (0)], and the dynamic susceptibility chi(q)(zz)(omega) are also obtained at arbitrary temperatures. Explicit results are presented in the limit T = 0, where the critical behaviour occurs, for the static susceptibility chi(q)(zz)(0) as a function of the transverse field h, and for the frequency dependency of dynamic,q susceptibility chi(q)(zz)(omega). Also in this limit, the transverse time-correlation (S-j,m(x)(t)S-j,m'(x)(0)) and the dynamic and isothermal susceptibilities, chi(q)(xx)(omega) and chi(T)(xx), are obtained for the transverse field greater or equal than the saturation field. (C) 2005 Elsevier B.V. All rights reserved. en
dc.format.extent 95-121
dc.language.iso eng
dc.publisher Elsevier B.V.
dc.relation.ispartof Journal of Magnetism and Magnetic Materials
dc.rights Acesso restrito
dc.subject XY model en
dc.subject quantum transition en
dc.subject inhomogeneous chain en
dc.title The isotropic XY model on the inhomogeneous periodic chain en
dc.type Artigo
dc.contributor.institution Universidade Federal de São Paulo (UNIFESP)
dc.contributor.institution Univ Fed Ceara
dc.description.affiliation Universidade Federal de São Paulo, Inst Fis, Dept Fis Geral, BR-05315970 São Paulo, Brazil
dc.description.affiliation Univ Fed Ceara, Dept Fis, BR-60451970 Fortaleza, Ceara, Brazil
dc.description.affiliationUnifesp Universidade Federal de São Paulo, Inst Fis, Dept Fis Geral, BR-05315970 São Paulo, Brazil
dc.identifier.doi 10.1016/j.jmmm.2005.03.001
dc.description.source Web of Science
dc.identifier.wos WOS:000233704100004


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