Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice

Abstract

We study the topological properties of a one-dimensional quasiperiodic-potential-modulated mosaic trimer lattice. To begin with, we first investigate the topological properties of the model in the clean limit free of quasiperiodic disorder based on analytical derivation and numerical calculations of the Zak phase $Z$ and the polarization $P$. Two nontrivial topological phases corresponding to the $1/3$ filling and $2/3$ filling, respectively, are revealed. Then we incorporate the mosaic modulation and investigate the influence of quasiperiodic disorder on the two existing topological phases. Interestingly, it turns out that quasiperiodic disorder gives rise to multiple distinct effects for different fillings. At $2/3$ filling, the topological phase is significantly enhanced by the quasiperiodic disorder and topological Anderson insulator emerges. Based on the calculations of polarization and energy gap, we explicitly present corresponding topological phase diagram in the $\lambda -J$ plane. While for the $1/3$ filling case, % the topological phase is dramatically suppressed by the same quasiperiodic disorder. the quasiperiodic disorder dramatically compresses the topological phase, and strikingly, further induces the emergence of reentrant topological phase transitions instead. Furthermore, we verify the topological phase diagrams by computing the many-body ground state fidelity susceptibility for both the $1/3$ filling and $2/3$ filling cases. Our work exemplifies the diverse roles of quasiperiodic disorder in the modulation of topological properties, and will further inspire more research on the competitive and cooperative interplay between topological properties and quasiperiodic disorder.

8 pages, 9 figures

References in corpus (47)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Topological Anderson Insulator
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Novel Topological Phase with Zero Berry Curvature
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Photonic Topological Anderson Insulators
• Experimental Observation of Higher-Order Topological Anderson Insulators
• Observation of tunable mobility edges in generalized Aubry-André lattices
• Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
• Observation of non-Hermitian topological Anderson insulator in quantum dynamics
• Topological Phase Transitions in Disordered Electric Quadrupole Insulators
• Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
• Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
• Experimental Realization of Weyl Exceptional Rings in a Synthetic Three-Dimensional Non-Hermitian Phononic Crystal
• Anomalous mobility edges in one-dimensional quasiperiodic models
• Observation of interaction-induced mobility edge in a disordered atomic wire
• The dependence of topological Anderson insulator on the type of disorder
• Exploration and prediction of topological electronic materials based on first-principles calculations
• Hunting for the non-Hermitian exceptional points with fidelity susceptibility
• Photonic ${\mathbb{Z}}_2$ topological Anderson insulators
• General properties of fidelity in non-Hermitian quantum systems with PT symmetry
• Reentrant localization transition in the Su-Schrieffer-Heeger model with random-dimer disorder
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
• Measurement of spin Chern numbers in quantum simulated topological insulators
• Non-Hermitian Maryland Model
• Topological photonic alloy
• Reentrant topological phases in Mn-doped HgTe quantum wells
• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Topological Anderson amorphous insulator
• Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
• Probing multi-mobility edges in quasiperiodic mosaic lattices
• Engineering mobility in quasiperiodic lattices with exact mobility edges
• Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder
• Topological inverse Anderson insulator
• Phase diagram of the disordered Kitaev chain with long range pairing connected to external baths
• Reentrant Localization Transitions in a Topological Anderson Insulator: A Study of a Generalized Su-Schrieffer-Heeger Quasicrystal
• Probing the Topological Anderson Transition in Quasiperiodic Photonic Lattices via Chiral Displacement and Wavelength Tuning
• Proposed realization of critical regions in a one-dimensional flat band lattice with a quasi-periodic potential
• Implementing non-Abelian Hatano-Nelson model in electric circuits
• Reentrant Topological Phase Transition in a Bridging Model between Kitaev and Haldane Chains
• Random-Flux-Induced Transition Sequence between Weak and Strong Topological Phases with Anisotropic Localization Properties
• The One-dimensional Chiral Anomaly and its Disorder Response
• Reentrant quantum spin Hall effect in the presence of an exchange field
• Re-entrant topological order in strongly correlated nanowire due to Rashba spin-orbit coupling
• Quasiperiodic Quadrupole Insulators