Topological crystalline insulators from stacked graphene layers

Abstract

In principle the stacking of different two-dimensional (2D) materials allows the construction of 3D systems with entirely new electronic properties. Here we propose to realize topological crystalline insulators (TCI) protected by mirror symmetry in heterostructures consisting of graphene monolayers separated by two-dimensional polar spacers. The polar spacers are arranged such that they can induce an alternating doping and/or spin-orbit coupling in the adjacent graphene sheets. When spin-orbit coupling dominates, the non-trivial phase arises due to the fact that each graphene sheet enters a quantum spin-Hall phase. Instead, when the graphene layers are electron and hole doped in an alternating fashion, a uniform magnetic field leads to the formation of quantum Hall phases with opposite Chern numbers. It thus has the remarkable property that unlike previously proposed and observed TCIs, the non-trivial topology is generated by an external time-reversal breaking perturbation.

arXiv comment5 pages, 4 figures. This is the final, published version

References in corpus (48)

• Topological Insulators
• Topological insulators and superconductors
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Van der Waals heterostructures
• Quantum Spin Hall Effect in Graphene
• 2D materials and van der Waals heterostructures
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators in Three Dimensions
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Crystalline Insulators
• Periodic table for topological insulators and superconductors
• Higher-Order Topological Insulators
• Topological Crystalline Insulators in the SnTe Material Class
• Kwant: a software package for quantum transport
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Experimental realization of a topological crystalline insulator in SnTe
• Spin-orbit gap of graphene: First-principles calculations
• Topological crystalline insulator states in Pb(1-x)Sn(x)Se
• Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
• A topological crystalline insulator (TCI) phase via topological phase transition and crystalline mirror symmetry
• Antiferromagnetic topological insulators
• The space group classification of topological band insulators
• Spin-Orbit Proximity Effect in Graphene
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Hourglass Fermions
• Spin-filtered Edge States with an Electrically Tunable Gap in a Two-Dimensional Topological Crystalline Insulator
• Classification of topological insulators and superconductors in the presence of reflection symmetry
• Higher-order bulk-boundary correspondence for topological crystalline phases
• Topological classification with additional symmetries from Clifford algebras
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• The strong side of weak topological insulators
• Classification of Two Dimensional Topological Crystalline Superconductors and Majorana Bound States at Disclinations
• Topological Classification of Crystalline Insulators with Point Group Symmetry
• New Family of Robust 2D Topological Insulators in van der Waals Heterostructures
• Topological Crystalline Insulators in Transition Metal Oxides
• Anderson localization and the topology of classifying spaces
• Inversion-symmetry protected chiral hinge states in stacks of doped quantum Hall layers
• Testing Topological Protection of Edge States in Hexagonal Quantum Spin Hall Candidate Materials
• Coupled-layer description of topological crystalline insulators
• Topological crystalline insulator states in the Ca${}_2$As family
• Proximity Enhanced Quantum Spin Hall State in Graphene
• Layered Topological Crystalline Insulators
• Extended topological group structure due to average reflection symmetry
• Three-Dimensional Fractional Topological Insulators in Coupled Rashba Layers
• Classification and surface anomaly of glide symmetry protected topological phases in three dimensions
• From Coupled Rashba Electron and Hole Gas Layers to 3D Topological Insulators

Cited by in corpus (7)

• AI-driven inverse design of materials: Past, present and future
• Nontrivial gapless electronic states at the stacking faults of weak topological insulators
• Hybrid symmetry class topological insulators
• Transport in strained graphene: Interplay of Abelian and axial magnetic fields
• Origin of Robust ${\mathbb{Z}}_2$ Topological Phases in Stacked Hermitian Systems: Non-Hermitian Level Repulsion
• Topological properties of domain walls in antiferromagnetic topological insulators
• Crystalline Weyl semimetal phase in Quantum Spin Hall systems under magnetic fields