The diagrammatic method of Berezinskii for one-dimensional disordered wire with spin–orbit interaction

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buir.contributor.authorTanatar, Bilal
buir.contributor.orcidTanatar, Bilal|0000-0002-5246-0119
dc.citation.epage7en_US
dc.citation.issueNumber115550
dc.citation.spage1
dc.citation.volumeNumber146
dc.contributor.authorSuleymanli, B.
dc.contributor.authorNakhmedov, E.
dc.contributor.authorTatardar, F.
dc.contributor.authorTanatar, Bilal
dc.date.accessioned2024-03-06T06:10:45Z
dc.date.available2024-03-06T06:10:45Z
dc.date.issued2022-10-29
dc.departmentDepartment of Physics
dc.description.abstractWe extend Berezinskii’s diagram technique to the one-dimensional disordered wire containing Rashba and Dresselhaus spin–orbit interactions. The retarded and advanced Green’s functions are factorized in coordinates space in the presence of spin–orbit interactions. This factorization allows us to transform all coordinate dependence of the Green’s functions from lines to the impurity vertices. Our calculations show that all possible impurity vertices giving a contribution to the correlators do not differ from those given in the conventional technique, except that they are written in a 2 × 2 matrix form and the Fermi velocity $v_{F}^{*}$ now depends on the spin–orbit coupling constants. The diagrammatic method of Berezinskii with spin–orbit interaction is used to obtain the distribution of the electron density of the localized state $p_{\infty} \left(\right. y \left.\right)$.
dc.description.provenanceMade available in DSpace on 2024-03-06T06:10:45Z (GMT). No. of bitstreams: 1 The_diagrammatic_method_of_Berezinskii_for_one-dimensional_disordered_wire_with_spin-orbit_interaction.pdf: 659304 bytes, checksum: 77e8e129368a7e69223f4678b0a83ac7 (MD5) Previous issue date: 2022-10-29en
dc.embargo.release2024-10-29
dc.identifier.doi10.1016/j.physe.2022.115550
dc.identifier.eissn1873-1759
dc.identifier.issn1386-9477
dc.identifier.urihttps://hdl.handle.net/11693/114353
dc.language.isoen
dc.publisherElsevier BV * North-Holland
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.physe.2022.115550
dc.rightsCC BY 4.0 DEED (Attribution 4.0 International)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.source.titlePhysica E: Low-dimensional Systems and Nanostructures
dc.subjectWhite-noise Gaussian random potential
dc.subjectSpin–orbit interaction
dc.subjectElectron density distribution
dc.titleThe diagrammatic method of Berezinskii for one-dimensional disordered wire with spin–orbit interaction
dc.typeArticle

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