Arithmetic Phase Transitions For Mosaic Maryland Model
arXiv:2209.01442 · doi:10.1063/5.0123576
Abstract
We give a precise description of spectral types of the Mosaic Maryland model with any irrational frequency, which provides a quasi-periodic unbounded model with non-monotone potential has arithmetic phase transition.
arXiv commentarXiv admin note: substantial text overlap with arXiv:2205.04021 by other authors
References in corpus (12)
- One dimensional quasiperiodic mosaic lattice with exact mobility edges
- Sharp Phase transitions for the almost Mathieu operator
- Absolute Continuity of the Integrated Density of States for the Almost Mathieu Operator with Non-Critical Coupling
- Arithmetic Spectral Transitions for the Maryland Model
- Exact mobility edges for 1D quasiperiodic models
- Critical integer quantum Hall topology and the integrable Maryland model as a topological quantum critical point
- Pure point spectrum for the Maryland model: a constructive proof
- Singular continuous spectrum for singular potential
- Anderson localization for the completely resonant phases
- Maryland model in optical waveguide lattices
- Perturbative diagonalisation for Maryland-type quasiperiodic operators with flat pieces
- Anti-resonances and sharp analysis of Maryland localization for all parameters