Aubry–André–Harper model: multifractality analysis versus Landauer conductance for quasicrystal chains

KAYA T.

Indian Journal of Physics, cilt.98, sa.2, ss.489-496, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 98 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s12648-023-02810-z
  • Dergi Adı: Indian Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, INSPEC, zbMATH
  • Sayfa Sayıları: ss.489-496
  • Anahtar Kelimeler: Anderson localization, Aubry–André (AA) model, Fractal dimension, Landauer formula
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

We present the result of the localization feature of the quasiperiodic Aubry–André model. Localization and delocalization of energy eigenstates of the system are investigated by taking into account well-known theoretical perspectives such as the fractal dimension and the Landauer formula. Energy spectra of the system are obtained in the form of a Hofstadter butterfly for different values of the incommensurate parameter of the Aubry–André model and different values of the quasiperiodic disordered potentials. The inverse participation ratio analysis and fractal analysis of conductance are used for describing the localization feature of energy eigenstates. The conductance of the eigenstates is also obtained by calculating the transmission eigenvalues in the Landauer picture.