Topological states in double monolayer graphene

Abstract

Motivated by the experiments on double monolayer graphene that observe a variety of fractional quantum Hall states [Liu et al., Nat. Phys. 15, 893 (2019); Li et al., Nat. Phys. 15, 898 (2019)], we study the special setting in which two monolayers have different areas. It has not been considered before and allows us to construct a class of exotic topological states. The elementary excitations of these states do not carry fractional charges but obey fractional statistics. This is in sharp contrast to all previously studied cases, where the two properties are intimately connected and serve as hallmarks of fractional quantum Hall states. Numerical calculations are performed to demonstrate that some states can be realized with realistic parameters.

References in corpus (8)

• The density-matrix renormalization group in the age of matrix product states
• Multicomponent fractional quantum Hall effect in graphene
• Fractional statistics in anyon collisions
• Tunable Fractional Quantum Hall Phases in Bilayer Graphene
• Even denominator fractional quantum Hall state in bilayer graphene
• Generic Construction of Efficient Matrix Product Operators
• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• Theoretical phase diagram of two-component composite fermions in double layer graphene