Metal-Insulator Coexistence and Gap-Crossing Domain-Wall Modes in an Aubry-André Model with Nonlocal Hopping

Abstract

Nonequilibrium transport remains a central theme in modern physics, spanning from condensed matter to synthetic systems. Here, we investigate particle transport in an extended Aubry-André model with system-scale hopping, namely nonlocal hopping with a range proportional to the system size, and uncover a metal-insulator coexistence regime in real space, where metallic and insulating spatial domains coexist within the same system and are separated by sharp spatial boundaries. In the insulating region, particles exhibit flat-band-like localization in the absence of quasiperiodic potentials, while a quasiperiodic potential induces distinct multi-point localization, different from conventional exponential localization. Meanwhile, particles can freely propagate and tunnel across spatially disconnected metallic domains separated by the insulating region. Beyond this coexistence phase, we identify unconventional gap-crossing domain-wall modes with comb-like spatial profiles that mediate nonlocal, multi-point transport across separated metallic domains. Our findings reveal a rich interplay between localization, nonlocality, and transport in systems with nonlocal hopping.

References in corpus (35)

• Quantum information with Rydberg atoms
• Anderson Transitions
• Anderson localization of a non-interacting Bose-Einstein condensate
• Topological States and Adiabatic Pumping in Quasicrystals
• Realizing a lattice spin model with polar molecules
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Topolectrical circuits
• Direct observation of a localization transition in quasi-periodic photonic lattices
• Quantum phases from competing short- and long-range interactions in an optical lattice
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
• Photonic Topological Insulator in Synthetic Dimensions
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Observation of the topological Anderson insulator in disordered atomic wires
• Predicted mobility edges in one-dimensional incommensurate optical lattices: An exactly solvable model of Anderson localization
• Time Reversal Invariant Topologically Insulating Circuits
• Topological properties of linear circuit lattices
• Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
• Roton-type mode softening in a quantum gas with cavity-mediated long-range interactions
• Long-range interacting quantum systems
• One dimensional quasiperiodic mosaic lattice with exact mobility edges
• One-dimensional quasicrystals with power-law hopping
• Cavity Mediated Collective Spin Exchange Interactions in a Strontium Superradiant Laser
• Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials
• Band structure engineering and reconstruction in electric circuit networks
• Exact new mobility edges between critical and localized states
• Spin squeezing with short-range spin-exchange interactions
• Realization of a Hopf insulator in circuit systems
• Non-Newtonian Topological Mechanical Metamaterials Using Feedback Control
• Strong quantum metrological limit from many-body physics
• Scalable Spin Squeezing from Finite Temperature Easy-plane Magnetism
• Nonreciprocal Amplification Transition in a Driven-Dissipative Quantum Network
• Synthetic Mechanical Lattices with Synthetic Interactions
• Manipulation of Weyl Points in Reciprocal and Nonreciprocal Mechanical Lattices
• Engineering frustrated Rydberg spin models by graphical Floquet modulation