Quantum phase with coexisting localized, extended, and critical zones

Abstract

Conventionally a mobility edge (ME) marks a critical energy that separates two different transport zones where all states are extended and localized, respectively. Here we propose a novel quasiperiodic spin-orbit coupled lattice model with experimental feasibility to realize a fundamentally new quantum phase with three coexisting energy-dependent zones, i.e., the extended, critical and localized zones, and uncover the underlying generic mechanism for the occurrence of the new quantum phase. Accordingly, this phase exhibits new types of MEs which separate the extended states from critical ones, and the localized states from critical ones, respectively. We introduce the diagnostic quantities to characterize and distinguish the different zones, and show that the predicted phase can be detected by measuring the fractal dimension or conductivities. The experimental realization is also proposed and studied. This work extends the concept of ME and enriches the quantum phases in disordered systems, which sheds light on searching for new localization and critical phenomena with novel transport and thermoelectric effects.

References in corpus (9)

• Many body localization and thermalization in quantum statistical mechanics
• Anderson Transitions
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
• Observation of Quantized Conductance in Neutral Matter
• Localization in one-dimensional incommensurate lattices beyond the Aubry-André model
• Exact relations between multifractal exponents at the Anderson transition
• Localization and adiabatic pumping in a generalized Aubry-André-Harper model
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• Thermoelectricity near Anderson localization transitions

Cited by in corpus (29)

• Exact new mobility edges between critical and localized states
• Critical phase dualities in 1D exactly-solvable quasiperiodic models
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
• Dephasing-induced mobility edges in quasicrystals
• The general approach to the critical phase with coupled quasiperiodic chains
• Dissipation induced extended-localized transition
• Multiple localization transitions and novel quantum phases induced by staggered on-site potential
• Absence of Mobility Edge in Short-range Uncorrelated Disordered Model: Coexistence of Localized and Extended States
• Emergence of multifractality through cascade-like transitions in a mosaic interpolating Aubry-André-Fibonacci chain
• Two dimensional vertex-decorated Lieb lattice with exact mobility edges and robust flat bands
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Robust non-ergodicity of ground state in the $\beta$ ensemble
• The fundamental localization phases in quasiperiodic systems: A unified framework and exact results
• Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice
• Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials
• Multiple intermediate phases in the interpolating Aubry-André-Fibonacci model
• Proposed realization of critical regions in a one-dimensional flat band lattice with a quasi-periodic potential
• Multifractal-enriched mobility edges and emergent quantum phases in Rydberg atomic arrays
• Resonances, mobility edges and gap-protected Anderson localization in generalized disordered mosaic lattices
• Exploring Multifractal Critical Phases in Two-Dimensional Quasiperiodic Systems
• Anderson Localization and Swing Mobility Edge in Curved Spacetime
• Fate of localization features in a one-dimensional non-Hermitian flat-band lattice with quasiperiodic modulations
• Experimental observation of exact quantum critical states
• Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
• Level spacing distribution of localized phases induced by quasiperiodic potentials
• Many-body critical phase in a quasiperiodic chain and dynamical Widom lines in Fock space properties
• Family of self-dual quasicrystals with critical Phases
• Supercorrelated decay in a quasiperiodic nonlinear waveguide: From Markovian to non-Markovian transitions
• Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals