Disorder-induced delocalization and reentrance in a Chern-Hopf insulator

Abstract

The Chern-Hopf insulator is an unconventional three-dimensional topological insulator with a bulk gap and gapless boundary states without protection from global discrete symmetries. This study investigates its fate in the presence of disorder. We find it stable up to moderate disorder by analyzing the surface states and the zero energy bulk density of states using large-scale numerical simulation and the self-consistent Born approximation. The disordered Chern-Hopf insulator shows reentrant behavior: the disorder initially enhances the topological phase before driving it across an insulator-diffusive metal transition. We examine the associated critical exponents via finite-size scaling of the bulk density of states, participation entropy, and two-terminal conductance. We estimate the correlation length exponent $\nu \simeq 1.0(1)$, consistent with the clean two-dimensional Chern universality and distinct from the integer quantum Hall exponent.

arXiv comment9 pages, 8 figures

References in corpus (88)

• Topological Insulators with Inversion Symmetry
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Topological Crystalline Insulators
• Anderson Transitions
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Topological quantum chemistry
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Kwant: a software package for quantum transport
• The Kernel Polynomial Method
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• Antiferromagnetic topological insulators
• The space group classification of topological band insulators
• Topological classification of crystalline insulators through band structure combinatorics
• Topological Anderson Insulator
• Inversion Symmetric Topological Insulators
• Theory of the topological Anderson insulator
• Impurity effect on weak anti-localization in the topological insulator Bi2Te3
• Higher-order Topology of Axion Insulator EuIn${}_2$As${}_2$
• Competition between weak localization and antilocalization in topological surface states
• Corrections to scaling at the Anderson transition
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Topological delocalization of two-dimensional massless Dirac fermions
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• Quantum criticality between topological and band insulators in $(3+1)$-dimensions
• Topological Anderson Insulator in Three Dimensions
• Topological surface states in three-dimensional magnetic insulators
• Topology, Delocalization via Average Symmetry and the Symplectic Anderson Transition
• Topological Euler class as a dynamical observable in optical lattices
• Density of States Scaling at the Semimetal to Metal Transition in Three Dimensional Topological Insulators
• Topological non-symmorphic crystalline insulators
• Disordered Topological Insulators: A Non-Commutative Geometry Perspective
• The Anderson transition: time reversal symmetry and universality
• Critical exponent for the Anderson transition in the three dimensional orthogonal universality class
• Topological Phase Transitions in Disordered Electric Quadrupole Insulators
• Localization in a quantum spin Hall system
• Higher-order topological insulators in amorphous solids
• Geometric approach to fragile topology beyond symmetry indicators
• Critical parameters from generalised multifractal analysis at the Anderson transition
• The Anderson Transition in Two-Dimensional Systems with Spin-Orbit Coupling
• Topological Anderson insulator phenomena
• Higher-order Topological Anderson Insulators
• The dependence of topological Anderson insulator on the type of disorder
• Dirty Weyl semimetals: Stability, phase transition and quantum criticality
• Effect of Disorder in a Three-Dimensional Layered Chern Insulator
• AIII and BDI Topological Systems at Strong Disorder
• Reconciling Conductance Fluctuations and the Scaling Theory of Localization
• Hopf Insulators and Their Topologically Protected Surface States
• The translational side of topological band insulators
• The fate of topological-insulator surface states under strong disorder
• Phase diagram of disordered higher-order topological insulator: A machine learning study
• Three-dimensional phase diagram of disordered HgTe/CdTe Quantum spin-Hall wells
• Topological Marker Currents in Chern Insulators
• Global Phase Diagram of a Dirty Weyl Liquid and Emergent Superuniversality
• Hopf characterization of two-dimensional Floquet topological insulators
• Dissolution of topological Fermi arcs in a dirty Weyl semimetal
• Disorder driven itinerant quantum criticality of three dimensional massless Dirac fermions
• Entanglement entropy and multifractality at localization transitions
• Disorder-Induced Multiple Transition involving Z2 Topological Insulator
• Symmetry Protected Topological Hopf Insulator and its Generalizations
• Disorder-induced metal-insulator transitions in three-dimensional topological insulators and superconductors
• Topological Hopf-Chern Insulators and the Hopf Superconductor
• Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond
• Effect of Strong Disorder in a 3-Dimensional Topological Insulator: Phase Diagram and Maps of the Z2 Invariant
• Interplay between topology and disorder in a two-dimensional semi-Dirac material
• Phase Structure of the Topological Anderson Insulator
• Teleportation of Berry curvature on the surface of a Hopf insulator
• Critical Behavior and Universal Signature of an Axion Insulator State
• Disorder-Induced Quantum Phase Transitions in Three-Dimensional Second-Order Topological Insulators
• Global phase diagram of a three dimensional dirty topological superconductor
• Delocalization Transition of Disordered Axion Insulator
• Majorana Zero Modes Protected by Hopf Invariant in Topologically Trivial Superconductors
• Anderson transition in the three dimensional symplectic universality class
• $N$-band Hopf insulator
• Dirty higher-order Dirac semimetal: Quantum criticality and bulk-boundary correspondence
• Bulk-boundary correspondence in disordered higher-order topological insulators
• Non-Abelian Hopf-Euler insulators
• Anderson Transitions: Criticality, Symmetries, and Topologies
• Quantized surface magnetism and higher-order topology: Application to the Hopf insulator
• Critical Behaviors of Anderson Transitions in Three Dimensional Orthogonal Classes with Particle-hole Symmetries
• Disorder-induced topological quantum phase transitions in multi-gap Euler semimetals
• Topological quantum criticality of the disordered Chern insulator
• Anderson Critical Metal Phase in Trivial States Protected by Average Magnetic Crystalline Symmetry
• Realization of the topological Hopf term in two-dimensional lattice models
• Flat Bands in Three-dimensional Lattice Models with Non-trivial Hopf Index
• Hopf Semimetals

Cited by in corpus (1)

• Magnetic Anisotropy in Two-dimensional van der Waals Magnetic Materials and Their Heterostructures: Importance, Mechanisms, and Opportunities