Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
arXiv:2312.04349 · doi:10.1103/4sqj-jqz9
Abstract
Quasiperiodic systems extend the concept of the Anderson transition to quasi-random and low-dimensional realms and have garnered widespread attention. Here, we propose the asymptotic quasiperiodic two-dimensional systems characterized by a sequence of rational magnetic fluxes, which have an irrational limit, and predict exotic universal wave-packet dynamics and transport phenomena associated with the asymptotic quasiperiodicity (AQP). The predictions unveil a class of multiple metal-insulator transitions driven by a novel interplay effect between AQP, relaxation, and finite temperature, which further reveals a unified and profound mechanism. Specifically, all the transport phenomena, including the wave-packet dynamics, the bulk and edge transport, are unified in the universal scaling laws unveiled in the asymptotic quasiperiodic regime, which demonstrate a nontrivial asymptotic connection to quantum phases in the quasiperiodic limit. Our work enriches the universal quantum transport phenomena, adds to the basic mechanisms underlying metal-insulator transitions, and opens up an avenue to study the exotic transport physics with AQP in high dimensions.
arXiv comment5+9 pages. 4+8 figures. Significant updates made according to referee feedbacks
References in corpus (68)
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Boron nitride substrates for high-quality graphene electronics
- Anderson localization of a non-interacting Bose-Einstein condensate
- Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Quantum trajectories and open many-body quantum systems
- Fractional Chern insulators in magic-angle twisted bilayer graphene
- Tunable Moiré Bands and Strong Correlations in Small-Twist-Angle Bilayer Graphene
- Probing entanglement in a many-body-localized system
- Electron Localization in the Insulating State
- Many-Body Localization in a Quasiperiodic System
- Nearest neighbor tight binding models with an exact mobility edge in one dimension
- Predicted mobility edges in one-dimensional incommensurate optical lattices: An exactly solvable model of Anderson localization
- Dirac Electrons in a Dodecagonal Graphene Quasicrystal
- Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
- Atomic Bose and Anderson glasses in optical lattices
- Controlling the dynamics of an open many-body quantum system with localized dissipation
- Numerical studies of confined states in rotated bilayers of graphene
- Observation of fractional Chern insulators in a van der Waals heterostructure
- Critical change in the Fermi surface of iron arsenic superconductors at the onset of superconductivity
- Two universality classes for the many-body localization transition
- Mobility Edges in 1D Bichromatic Incommensurate Potentials
- One dimensional quasiperiodic mosaic lattice with exact mobility edges
- Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasi-Periodic Systems
- Observation of many-body localization in a one-dimensional system with single-particle mobility edge
- One-dimensional quasicrystals with power-law hopping
- Observation of Quantized Conductance in Neutral Matter
- Lifshitz critical point in the cuprate superconductor YBa2Cu3Oy from high-field Hall effect measurements
- Phase Diagram of Bosonic Atoms in Two-Color Superlattices
- The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
- Observation of tunable mobility edges in generalized Aubry-André lattices
- Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials
- Many body localization and quantum non-ergodicity in a model with a single-particle mobility edge
- Localization and adiabatic pumping in a generalized Aubry-André-Harper model
- Reentrant Localization Transition in a Quasiperiodic Chain
- Strain-induced quantum phase transitions in magic angle graphene
- Phase diagram of a non-Abelian Aubry-André-Harper model with -wave superfluidity
- Many body localization in the presence of a single particle mobility edge
- Aperiodic Quantum Random Walks
- Engineering a flux-dependent mobility edge in disordered zigzag chains
- Anomalous mobility edges in one-dimensional quasiperiodic models
- Bosons in one-dimensional incommensurate superlattices
- Observation of interaction-induced mobility edge in a disordered atomic wire
- Transport in quasiperiodic interacting systems: from superdiffusion to subdiffusion
- Observing localisation in a 2D quasicrystalline optical lattice
- Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
- Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
- Exact new mobility edges between critical and localized states
- Probing relaxation times in graphene quantum dots
- Many-body critical phase: extended and nonthermal
- Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
- Observation of topological phase with critical localization in a quasi-periodic lattice
- Phase diagram and momentum distribution of an interacting Bose gas in a bichromatic lattice
- Critical phase dualities in 1D exactly-solvable quasiperiodic models
- Observation of critical phase transition in a generalized Aubry-André-Harper model on a superconducting quantum processor with tunable couplers
- Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice
- Delocalization of weakly interacting bosons in a 1D quasiperiodic potential
- Quantum phase with coexisting localized, extended, and critical zones
- Topological Insulator in the Presence of Spatially Correlated Disorder
- Quasiperiodicity, band topology, and moiré graphene
- Moire Localization in Two Dimensional Quasi-Periodic Systems
- Longitudinal and anomalous Hall conductivity of a general two-band model
- Flat Topological Bands and Eigenstate Criticality in a Quasiperiodic Insulator
- Thermodynamic Phase Diagram of Two-Dimensional Bosons in a Quasicrystal Potential
- Dimensional reduction from magnetic field in moiré superlattices