Instability of QBC systems to Topological Anderson Insulating phases
arXiv:2110.03667 · doi:10.1103/PhysRevB.109.184206
Abstract
Here we study the instabilities of a quadratic band crossing system to Chern insulating states and uncorrelated disorder. We determined the phase diagram in the plane of topological mass versus disorder strength, characterizing the system with respect to spectral, localization and topological properties. In the clean limit, the system has two gapped Chern insulating phases with Chern numbers C=\pm2, and a trivial phase with C=0. For finite disorder, the quadratic band crossing points are unstable to emergent gapless Chern insulating phases with C=\pm1, not present in the clean limit. These phases occupy a considerable region of the phase diagram for intermediate disorder and show features of topological Anderson insulators: it is possible to reach them through disorder-driven transitions from trivial phases.
References in corpus (41)
- Topological Insulators
- Topological insulators and superconductors
- Many-Body Physics with Ultracold Gases
- Quantum Spin Hall Effect in Graphene
- Berry Phase Effects on Electronic Properties
- Classification of topological insulators and superconductors in three spatial dimensions
- Classification of topological quantum matter with symmetries
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Exploring the many-body localization transition in two dimensions
- Topological Anderson Insulator
- Theory of the topological Anderson insulator
- Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
- Photonic Topological Anderson Insulators
- Quantized Anomalous Hall Effect in Two-Dimensional Ferromagnets - Quantum Hall Effect from Metal -
- Localization in a quantum spin Hall system
- Non-Hermitian Topological Anderson Insulators
- Real-space calculation of the conductivity tensor for disordered topological matter
- The dependence of topological Anderson insulator on the type of disorder
- Higher-order Topological Anderson Insulators
- KITE: high-performance accurate modelling of electronic structure and response functions of large molecules, disordered crystals and heterostructures
- Renormalization group study of interaction-driven quantum anomalous Hall and quantum spin Hall phases in quadratic band crossing systems
- Sum Rule of the Hall Conductance in Random Quantum Phase Transition
- Topological Anderson insulating phases in the long-range Su-Schrieffer-Heeger model
- Anderson localization and the topology of classifying spaces
- Instabilities of quadratic band crossing points
- The topological Anderson insulator phase in the Kane-Mele model
- Topological Anderson insulators with different bulk states in quasiperiodic chains
- Anderson localization and topological transition in Chern insulators
- Disorder Effects in Topological States -- Brief Review of the Recent Developments
- Disorder-induced Chern insulator in Harper--Hofstadter--Hatsugai model
- Tunning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems
- The fate of interaction-driven topological insulators under disorder
- Topological Anderson insulators induced by random binary disorders
- Quantum critical behavior of two-dimensional Fermi systems with quadratic band touching
- Topological Anderson Insulators in Systems without Time-Reversal Symmetry
- Stability of two-dimensional asymmetric materials with a quadratic band crossing point under four-fermion interaction and impurity scattering
- Anomalous Hall metals from strong disorder in class A systems on partite lattices
- Route towards Localization for Quantum Anomalous Hall Systems with Chern Number 2