Metallic-insulator phase transitions in the extended Harper model

Abstract

In this work we investigate the transport properties of non-relativistic quantum particles on incommensurate multilayered structures with the thicknesses $w_n$ of the layers following an extended Harper model given by $w_n=w_0|\cos (\pi a{n}^{\nu })|$. For the normal incidence case, which means an one-dimensional system, we obtained that for a specific range of energy, it is possible to see a metallic-insulator transition with the exponent $\nu$. A metallic phase is supported for $\nu <1$. We also obtained that for the specific value $\nu =1$ there is an alternation between metallic and insulator phases as we change the disorder strength $w_0$. When we integrate out all incidence angles, which means a two-dimensional system, the metallic-insulator transition can be seen for much larger range of energy compared to the normal incidence case.

References in corpus (4)

• The transfer matrix: a geometrical perspective
• Critical properties of the many-particle (interacting) Aubry-André model ground-state localization-delocalization transition
• Non-equilibrium steady state phases of the interacting Aubry-Andre-Harper model
• Controlled charge and spin current rectifications in a spin polarized device