We propose a solvable class of 1D quasiperiodic tight-binding models encompassing
extended, localized, and critical phases, separated by nontrivial mobility edges. Limiting …

Twisting van der Waals heterostructures to induce correlated many body states provides a
novel tuning mechanism in solid state physics. In this work, we theoretically investigate the …

We find that quasiperiodicity-induced transitions between extended and localized phases in
generic 1D systems are associated with hidden dualities that generalize the well-known …

Junctions provide a wealth of information on the symmetry of the order parameter of
superconductors. We analyze junctions between a scanning tunneling microscope (STM) tip …

We theoretically study the interplay of short-range random and quasiperiodic static
potentials on the low-energy properties of three-dimensional Weyl semimetals. This setting …

Angle disorder is an intrinsic feature of twisted bilayer graphene and other moiré materials.
Here, we discuss electron transport in twisted bilayer graphene in the presence of angle …

A quasiperiodic system is an intermediate state between periodic and disordered systems
with a unique delocalization-localization transition driven by the quasiperiodic potential …

We study the fate of a two-dimensional quadratic band crossing topological phases under a
one-dimensional quasiperiodic modulation. By employing numerically exact methods, we …

Level statistics is an important quantity for exploring and understanding localized physics.
The level-spacing distribution (LSD) of the disordered localized phase follows Poisson …

We propose a class of 1D quasiperiodic tight binding models that includes extended,
localized and critical phases and analytically determine its phase diagram. Limiting cases of …