Analytical optimization of spread and change of exponential decay of generalized Wannier functions in one dimension

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorNacbar, Denis R.-
Autor(es): dc.creatorBruno-Alfonso, Alexys-
Data de aceite: dc.date.accessioned2025-08-21T19:40:20Z-
Data de disponibilização: dc.date.available2025-08-21T19:40:20Z-
Data de envio: dc.date.issued2022-04-29-
Data de envio: dc.date.issued2022-04-29-
Data de envio: dc.date.issued2012-05-14-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1103/PhysRevB.85.195127-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/226833-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/226833-
Descrição: dc.descriptionGeneralized Wannier functions of a couple of bands in a one-dimensional crystal are investigated. A lower bound for the global minimum of the total spread is obtained. Assumption of such a value being the minimum leads to a first-order differential equation for the transformation matrix. Simple analytical solutions leading to real generalized Wannier functions are presented for consecutive bands in a crystal with inversion symmetry. Results are displayed for a particle in a diatomic Kronig-Penney potential. For the lowest couple of bands, calculated single-band Wannier functions resemble orbitals of a diatomic molecule, whereas generalized Wannier functions seem like orthogonalized atomic orbitals. The latter functions are neither symmetric nor antisymmetric and display increased exponential decay. For the next two pairs of bands, Wannier functions retain their centers and symmetries, and exponential decay does not increase. Results are also shown to be in agreement with solutions of the eigenvalue problem of the band-projected position operator. © 2012 American Physical Society.-
Descrição: dc.descriptionPrograma de Pós-Graduação em Ciência e Tecnologia de Materiais Unesp, 17033-360 Bauru, São Paulo-
Descrição: dc.descriptionDepartamento de Matemática Faculdade de Ciências Unesp, 17033-360 Bauru, São Paulo-
Descrição: dc.descriptionPrograma de Pós-Graduação em Ciência e Tecnologia de Materiais Unesp, 17033-360 Bauru, São Paulo-
Descrição: dc.descriptionDepartamento de Matemática Faculdade de Ciências Unesp, 17033-360 Bauru, São Paulo-
Idioma: dc.languageen-
Relação: dc.relationPhysical Review B - Condensed Matter and Materials Physics-
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Título: dc.titleAnalytical optimization of spread and change of exponential decay of generalized Wannier functions in one dimension-
Tipo de arquivo: dc.typelivro digital-
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