Publicação: Wannier functions of isolated bands in one-dimensional crystals
dc.contributor.author | Bruno-Alfonso, A. | |
dc.contributor.author | Nacbar, D. R. | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.date.accessioned | 2014-05-20T13:26:30Z | |
dc.date.available | 2014-05-20T13:26:30Z | |
dc.date.issued | 2007-03-01 | |
dc.description.abstract | We present a simple procedure to obtain the maximally localized Wannier function of isolated bands in one-dimensional crystals with or without inversion symmetry. First, we discuss the generality of dealing with real Wannier functions. Next, we use a transfer-matrix technique to obtain nonoptimal Bloch functions which are analytic in the wave number. This produces two classes of real Wannier functions. Then, the minimization of the variance of the Wannier functions is performed, by using the antiderivative of the Berry connection. In the case of centrosymmetric crystals, this procedure leads to the Wannier-Kohn functions. The asymptotic behavior of the Wannier functions is also analyzed. The maximally localized Wannier functions show the expected exponential and power-law decays. Instead, nonoptimal Wannier functions may show reduced exponential and anisotropic power-law decays. The theory is illustrated with numerical calculations of Wannier functions for conduction electrons in semiconductor superlattices. | en |
dc.description.affiliation | Univ Estadual Paulista, Fac Ciências, Dept Matemat, BR-17033360 Bauru, SP, Brazil | |
dc.description.affiliationUnesp | Univ Estadual Paulista, Fac Ciências, Dept Matemat, BR-17033360 Bauru, SP, Brazil | |
dc.format.extent | 17 | |
dc.identifier | http://dx.doi.org/10.1103/PhysRevB.75.115428 | |
dc.identifier.citation | Physical Review B. College Pk: Amer Physical Soc, v. 75, n. 11, 17 p., 2007. | |
dc.identifier.doi | 10.1103/PhysRevB.75.115428 | |
dc.identifier.file | WOS000245329600133.pdf | |
dc.identifier.issn | 1098-0121 | |
dc.identifier.lattes | 1023310738730000 | |
dc.identifier.uri | http://hdl.handle.net/11449/8548 | |
dc.identifier.wos | WOS:000245329600133 | |
dc.language.iso | eng | |
dc.publisher | Amer Physical Soc | |
dc.relation.ispartof | Physical Review B | |
dc.relation.ispartofsjr | 1,604 | |
dc.rights.accessRights | Acesso aberto | |
dc.source | Web of Science | |
dc.title | Wannier functions of isolated bands in one-dimensional crystals | en |
dc.type | Artigo | |
dcterms.license | http://publish.aps.org/authors/transfer-of-copyright-agreement | |
dcterms.rightsHolder | Amer Physical Soc | |
dspace.entity.type | Publication | |
unesp.author.lattes | 1023310738730000[1] | |
unesp.author.orcid | 0000-0002-6194-529X[1] | |
unesp.campus | Universidade Estadual Paulista (UNESP), Faculdade de Ciências, Bauru | pt |
unesp.department | Matemática - FC | pt |
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