Numerical Study of Disorder on the Orbital Magnetization in Two Dimensions
arXiv:2007.10548 · doi:10.1088/1361-648X/ab8985
Abstract
The modern theory of orbital magnetization (OM) was developed by using Wannier function method, which has a formalism similar with the Berry phase. In this manuscript, we perform a numerical study on the fate of the OM under disorder, by using this method on the Haldane model in two dimensions, which can be tuned between a normal insulator or a Chern insulator at half filling. The effects of increasing disorder on OM for both cases are simulated. Energy renormalization shifts are observed in the weak disorder regime and topologically trivial case, which was predicted by a self-consistent T-matrix approximation. Besides this, two other phenomena can be seen. One is the localization trend of the band orbital magnetization. The other is the remarkable contribution from topological chiral states arising from nonzero Chern number or large value of integrated Berry curvature. If the fermi energy is fixed at the gap center of the clean system, there is an enhancement of |M| at the intermediate disorder, for both cases of normal and Chern insulators, which can be attributed to the disorder induced topological metal state before localization.
arXiv comment14 pages, 6 figures
References in corpus (43)
- Berry Phase Effects on Electronic Properties
- Maximally-localized generalized Wannier functions for composite energy bands
- Anomalous Hall effect
- Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
- Topological Anderson Insulator
- Berry phase effect in anomalous thermoelectric transport
- Berry phase correction to electron density of states in solids
- Theory of the topological Anderson insulator
- Orbital magnetization in periodic insulators
- Observation of the topological Anderson insulator in disordered atomic wires
- Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals
- Ab-initio theory of NMR chemical shifts in solids and liquids
- Quantum valley Hall effect, orbital magnetism, and anomalous Hall effect in twisted multilayer graphene systems
- First principles theory of the EPR g-tensor in solids: defects in quartz
- Dichroic f-sum rule and the orbital magnetization of crystals
- Dynamics of Berry-phase polarization in time-dependent electric fields
- Theory of Orbital Magnetization in Solids
- Statistical Topological Insulators
- Role of Berry phase theory for describing orbital magnetism: From magnetic heterostructures to topological orbital ferromagnets
- Topological insulators beyond the Brillouin zone via Chern parity
- Disappearance of integer quantum Hall effect
- Magnetic susceptibility of insulators from first principles
- Localization and Mobility Gap in Topological Anderson Insulator
- Sum Rule of the Hall Conductance in Random Quantum Phase Transition
- Topological edge states and quantum Hall effect in the Haldane model
- Anderson Localization from Berry-Curvature Interchange in Quantum Anomalous Hall System
- Orbital magnetization of insulating perovskite transition-metal oxides with the net ferromagnetic moment in the ground state
- Determination of spin and orbital magnetization in the ferromagnetic superconductor UCoGe
- Theory of orbital magnetization in disordered systems
- Irrelevance of the boundary on the magnetization of metals
- Orbital magnetization of correlated electrons with arbitrary band topology
- Orbital Magnetization in Insulators: Bulk vs. Surface
- Electron Delocalization in Gate-Tunable Gapless Silicene
- Crossed responses of spin and orbital magnetism in topological insulators
- Orbital magnetization and anomalous Hall effect in interacting Weyl semimetals
- Route towards Localization for Quantum Anomalous Hall Systems with Chern Number 2
- Large orbital magnetic moments of small, free cobalt cluster ions Co with
- Disordered topological metals
- Singular Effects of Spin-Flip Scattering on Gapped Dirac Fermions
- Impurity-induced orbital magnetization in a Rashba electron gas
- Universal Scaling Theory of the Boundary Geometric Tensor in Disordered Metals
- Localization Trajectory and Chern-Simons axion coupling for Bilayer Quantum Anomalous Hall Systems
- Superdiffusion in the topological metal