Interacting Virtual Topological Phases in Defect-Rich 2D Materials

Abstract

We investigate the robustness of {\it virtual} topological states -- topological phases away from the Fermi energy -- against the electron-electron interaction and band filling. As a case study, we employ a realistic model to investigate the properties of vacancy-driven topological phases in transition metal dichalcogenides (TMDs) and establish a connection between the degree of localization of topological wave functions, the vacancy density, and the electron-electron interaction strength with the topological phase robustness. We demonstrate that electron-electron interactions play a crucial role in degrading topological phases thereby determining the validity of single-particle approximations for topological insulator phases. Our findings can be naturally extended to {\it virtual} topological phases of a wide range of materials.

References in corpus (27)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Topological Insulators in Three Dimensions
• Universal Intrinsic Spin-Hall Effect
• The (High Quality) Topological Materials In The World
• Catalogue of Topological Electronic Materials
• Towards ideal topological materials: Comprehensive database searches using symmetry indicators
• The space group classification of topological band insulators
• Topological classification of crystalline insulators through band structure combinatorics
• Electric Field Induced Topological Phase Transition in Two-Dimensional Few-layer Black Phosphorus
• Interacting topological insulators: a review
• Topological Insulators and Mott Physics from the Hubbard Interaction
• Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
• Intrinsically patterned two-dimensional materials for selective adsorption of molecules and nanoclusters
• All Topological Bands of All Nonmagnetic Stoichiometric Materials
• Self-consistent potential correction for charged periodic systems
• Temperature effects in the band structure of topological insulators
• Defect-induced large spin-orbit splitting in the monolayer of PtSe${}_2$
• Amorphous Bi${}_2$Se${}_3$ structural, electronic, and topological nature by first-principles
• Tuning the topological states in metal-organic bilayers
• Phase transitions and scale invariance in topological Anderson insulators
• Vacancy localization effects on MX2 transition metal dichalcogenides: a systematic ab-initio study
• Temperature effects in topological insulators of transition metal dichalcogenide monolayers
• Structure-driven phase transitions in paracrystalline topological insulators
• Topological insulating phase arising in transition metal dichalcogenide alloy