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

Suleymanli B., Nakhmedov E., Tatardar F., Tanatar B.

Physica E: Low-Dimensional Systems and Nanostructures, vol.146, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 146
  • Publication Date: 2023
  • Doi Number: 10.1016/j.physe.2022.115550
  • Journal Name: Physica E: Low-Dimensional Systems and Nanostructures
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC
  • Keywords: White-noise Gaussian random potential, Spin-orbit interaction, Electron density distribution
  • Yıldız Technical University Affiliated: Yes


© 2022 Elsevier B.V.We 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 vF∗ 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∞(y).