Critical phase dualities in 1D exactly solvable quasiperiodic models
We propose a solvable class of 1D quasiperiodic tight-binding models encompassing
extended, localized, and critical phases, separated by nontrivial mobility edges. Limiting …
extended, localized, and critical phases, separated by nontrivial mobility edges. Limiting …
Moiré superlattice on the surface of a topological insulator
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 …
novel tuning mechanism in solid state physics. In this work, we theoretically investigate the …
Hidden dualities in 1D quasiperiodic lattice models
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 …
generic 1D systems are associated with hidden dualities that generalize the well-known …
Junctions and superconducting symmetry in twisted bilayer graphene
H Sainz-Cruz, PA Pantaleón, VT Phong… - Physical Review Letters, 2023 - APS
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 …
superconductors. We analyze junctions between a scanning tunneling microscope (STM) tip …
Connecting the avoided quantum critical point to the magic-angle transition in three-dimensional Weyl semimetals
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 …
potentials on the low-energy properties of three-dimensional Weyl semimetals. This setting …
High transmission in twisted bilayer graphene with angle disorder
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 …
Here, we discuss electron transport in twisted bilayer graphene in the presence of angle …
Universality classes of the Anderson transitions driven by quasiperiodic potential in the three-dimensional Wigner-Dyson symmetry classes
A quasiperiodic system is an intermediate state between periodic and disordered systems
with a unique delocalization-localization transition driven by the quasiperiodic potential …
with a unique delocalization-localization transition driven by the quasiperiodic potential …
Fate of quadratic band crossing under quasiperiodic modulation
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 …
one-dimensional quasiperiodic modulation. By employing numerically exact methods, we …
Level-spacing distribution of localized phases induced by quasiperiodic potentials
C Yang, Y Wang - Physical Review B, 2024 - APS
Level statistics is an important quantity for exploring and understanding localized physics.
The level-spacing distribution (LSD) of the disordered localized phase follows Poisson …
The level-spacing distribution (LSD) of the disordered localized phase follows Poisson …
[PDF][PDF] Critical phase in a class of 1D quasiperiodic models with exact phase diagram and generalized dualities
M Gonçalves, B Amorim, EV Castro… - arXiv preprint arXiv …, 2023 - researchgate.net
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 …
localized and critical phases and analytically determine its phase diagram. Limiting cases of …