English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Anderson localization problem for non-interacting two-dimensional electrongas subject to strong magnetic field, disordered potential and spin-orbitcoupling is studied numerically on a square lattice. The nature of thecorresponding localization-delocalization transition and the properties of thepertinent extended states depend on the nature of the spin-orbit coupling(uniform or fully random). For uniform spin-orbit coupling (such as Rashbacoupling), there is a band of extended states in the center of a Landau band asin a "standard" Anderson metal-insulator transition. However, for fully randomspin-orbit coupling, the familiar pattern of Landau bands disappears. Instead,there is a central band of critical states with definite fractal structureseparated at two critical energies from two side bands of localized states.Moreover, finite size scaling analysis suggests that for this novel transition,on the localized side of a critical energy $E_c$, the localization lengthdiverges as $\xi(E) \propto\exp(\alpha/\sqrt{|E-E_c|})$, a behavior which,along with the band of critical states, is reminiscent of aBerezinskii-Kosterlitz-Thouless transition.

A Band of Critical States in Anderson Localization at Strong Magnetic Field with Random Spin-Orbit Scattering