General scatterings and electronic states in the quantum-wire network of moiré systems
arXiv:2303.00759 · doi:10.1103/PhysRevB.108.L121409
Abstract
We investigate electronic states in a two-dimensional network consisting of interacting quantum wires, a model adopted for twisted bilayer systems. We construct general operators which describe various scattering processes in the system. In a twisted bilayer structure, the moiré periodicity allows for generalized umklapp scatterings, leading to a class of correlated states at certain fractional fillings. We identify scattering processes which can lead to an insulating gapped bulk with gapless chiral edge modes at fractional fillings, resembling the quantum anomalous Hall effect recently observed in twisted bilayer graphene. Finally, we demonstrate that the description can be useful in predicting spectroscopic and transport features to detect and characterize the chiral edge modes in the moiré-induced correlated states.
15 pages, 7 figures
References in corpus (26)
- Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
- Moiré heterostructures as a condensed matter quantum simulator
- Lattice relaxation and energy band modulation in twisted bilayer graphenes
- Electric field tunable unconventional superconductivity in alternating twist magic-angle trilayer graphene
- Exotic non-Abelian anyons from conventional fractional quantum Hall states
- MATBG as Topological Heavy Fermion: I. Exact Mapping and Correlated Insulators
- Electronic properties of graphene hexagonal boron nitride moiré superlattice
- Zero Energy Modes and Gate-Tunable Gap in Graphene on hexagonal Boron Nitride
- Spin-orbit driven ferromagnetism at half moiré filling in magic-angle twisted bilayer graphene
- Nanoscale Strain Engineering of Giant Pseudo-Magnetic Fields, Valley Polarization and Topological Channels in Graphene
- One-Dimensional Luttinger Liquids in a Two-Dimensional Moiré Lattice
- Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
- Global Phase Diagram of the Normal State of Twisted Bilayer Graphene
- Quantum Spin Hall Effect in Strip of Stripes Model
- Anomalous Hall effect at half filling in twisted bilayer graphene
- Heavy fermion representation for twisted bilayer graphene systems
- Evidence of orbital ferromagnetism in twisted bilayer graphene aligned to hexagonal boron nitride
- Theory of correlated insulators and superconductivity in twisted bilayer graphene
- Integer and Fractional Quantum Anomalous Hall Effect in a Strip of Stripes Model
- Helical nuclear spin order in a strip of stripes in the Quantum Hall regime
- Helical Liquids in Semiconductors
- Time reversal symmetry broken fractional topological phases at zero magnetic field
- Imprint of topological degeneracy in quasi-one-dimensional fractional quantum Hall states
- Fractional Conductance in Strongly Interacting 1D Systems
- Fractional chiral superconductors
- Charge density wave and finite-temperature transport in minimally twisted bilayer graphene
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- Quantum Geometry and Stabilization of Fractional Chern Insulators Far from the Ideal Limit
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- Twisted coupled wire model for a moiré sliding Luttinger liquid
- Time-Reversal Soliton Pairs In Even Spin-Chern-Number Higher-Order Topological Insulators
- Arrays of one-dimensional conducting channels in minimally twisted bilayer graphene
- Geometry-Driven Moiré Engineering in Twisted Bilayers of High-Pseudospin Fermions
- Gate-Tunable Resonances and 1D Channel in a Graphene Nanoslide
- Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
- Quasi-two-dimensional spin helix and magnon-induced singularity in twisted bilayer graphene
- Twisted bilayer graphene as a terahertz plasmonic crystal