Dynamical properties of collective excitations in twisted bilayer Graphene
arXiv:2108.12559 · doi:10.1103/PhysRevB.105.L121110
Abstract
Employing the recently developed momentum-space quantum Monte Carlo scheme, we study the dynamic response of single-particle and collective excitations in realistic continuum models of twisted bilayer graphene. At charge neutrality, this unbiased numerical method reveals strong competition between different symmetry breaking channels with a leading instability towards the intervalley coherent state. Single-particle spectra indicate that repulsive interactions push the fermion spectral weight away from the Fermi energy and open up an insulating gap. The spectra of collective excitations suggest an approximate valley symmetry. At low-energy, long-lived valley waves are observed, which resemble spin waves of Heisenberg ferromagnetism. At high-energy, these sharp modes quickly become over-damped, when their energy reaches the fermion particle-hole continuum.
arXiv comment4 pages, 2 figures with supplemental material
References in corpus (61)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Moire bands in twisted double-layer graphene
- Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
- Graphene bilayer with a twist: electronic structure
- Magic Angle Spectroscopy
- Origin of Magic Angles in Twisted Bilayer Graphene
- Tunable Correlated Chern Insulator and Ferromagnetism in Trilayer Graphene/Boron Nitride Moiré Superlattice
- Localization of Dirac electrons by Moire patterns in graphene bilayers
- Spectroscopic signatures of many-body correlations in magic angle twisted bilayer graphene
- Continuum Model of the Twisted Bilayer
- Lattice relaxation and energy band modulation in twisted bilayer graphenes
- Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
- Correlated states in twisted double bilayer graphene
- Maximally-localized Wannier orbitals and the extended Hubbard model for the twisted bilayer graphene
- Electronic properties of graphene-based bilayer systems
- Strongly Correlated Chern Insulators in Magic-Angle Twisted Bilayer Graphene
- Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene
- Fragile Topology and Wannier Obstructions
- Strong coupling phases of partially filled twisted bilayer graphene narrow bands
- Symmetry, maximally localized Wannier states, and low energy model for the twisted bilayer graphene narrow bands
- Numerical studies of confined states in rotated bilayers of graphene
- Ground State and Hidden Symmetry of Magic Angle Graphene at Even Integer Filling
- The pseudo-Landau-level representation of twisted bilayer graphene: band topology and the implications on the correlated insulating phase
- Twisted Bilayer Graphene IV. Exact Insulator Ground States and Phase Diagram
- Entropic evidence for a Pomeranchuk effect in magic angle graphene
- Twisted bilayer graphene III. Interacting Hamiltonian and exact symmetries
- Charged Skyrmions and Topological Origin of Superconductivity in Magic Angle Graphene
- Theories for the correlated insulating states and quantum anomalous Hall phenomena in twisted bilayer graphene
- Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: a Hartree-Fock study
- Twisted bilayer graphene. II. Stable symmetry anomaly
- Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice, with possible applications to twisted bilayer graphene
- Twisted Bilayer Graphene V: Exact Analytic Many-Body Excitations in Twisted Bilayer Graphene Coulomb Hamiltonians: Charge Gap, Goldstone Modes and Absence of Cooper Pairing
- Electronic Compressibility of Magic-Angle Graphene Superlattices
- Towards the hidden symmetry in Coulomb interacting twisted bilayer graphene: renormalization group approach
- Strain-induced quantum phase transitions in magic angle graphene
- Dynamical Signatures of Edge-State Magnetism on Graphene Nanoribbons
- Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet
- Efficient simulation of moire materials using the density matrix renormalization group
- Twisted bilayer graphene I. Matrix elements, approximations, perturbation theory and a 2-Band model
- Constrained sampling method for analytic continuation
- Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point
- Correlation-induced insulating topological phases at charge neutrality in twisted bilayer graphene
- Is magic-angle twisted bilayer graphene near a quantum critical point?
- Kosterlitz-Thouless Melting of Magnetic Order in the Triangular Quantum Ising Material TmMgGaO
- Using the average spectrum method to extract dynamics from quantum Monte Carlo simulations
- Derivation of Wannier orbitals and minimal-basis tight-binding hamiltonians for twisted bilayer graphene: a first-principles approach
- Evidence of the Berezinskii-Kosterlitz-Thouless Phase in a Frustrated Magnet
- Realization of Topological Mott Insulator in a Twisted Bilayer Graphene Lattice Model
- Momentum space quantum Monte Carlo on twisted bilayer Graphene
- Quantum Nature of Edge Magnetism in Graphene
- Dynamical Signature of Symmetry Fractionalization in Frustrated Magnets
- Half-filled Landau levels: a continuum and sign-free regularization for 3D quantum critical points
- Quantum Monte Carlo studies of edge magnetism in chiral graphene nanoribbons
- Spectroscopy of a Tunable Moiré System with a Correlated and Topological Flat Band
- Topological phase transition and single/multi anyon dynamics of spin liquid
- Amplitude Mode in Quantum Magnets via Dimensional Crossover
- Lattice model for the Coulomb interacting chiral limit of the magic angle twisted bilayer graphene: symmetries, obstructions and excitations
- Correlated Insulating Phases in the Twisted Bilayer Graphene
- EMUS-QMC: Elective Momentum Ultra-Size Quantum Monte Carlo Method
- Fermi arcs and pseudogap in a lattice model of a doped orthogonal metal
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- Detecting symmetry breaking in magic angle graphene using scanning tunneling microscopy
- Exciton Proliferation and Fate of the Topological Mott Insulator in a Twisted Bilayer Graphene Lattice Model
- Phase diagram of twisted bilayer graphene at filling factor
- Superconductivity and bosonic fluid emerging from Moiré flat bands
- Unlocking the general relationship between energy and entanglement spectra via the wormhole effect
- Dirac fermions with plaquette interactions. I. SU(2) phase diagram with Gross-Neveu and deconfined quantum criticalities
- Thermodynamic characteristic for correlated flat-band system with quantum anomalous Hall ground state
- Quantum Monte Carlo sign bounds, topological Mott insulator and thermodynamic transitions in twisted bilayer graphene model
- Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations
- Dirac fermions with plaquette interactions. II. SU(4) phase diagram with Gross-Neveu criticality and quantum spin liquid
- Fermion sign bounds theory in quantum Monte Carlo simulation
- Dynamical properties of quantum many-body systems with long range interactions
- Evolution from quantum anomalous Hall insulator to heavy-fermion semimetal in magic-angle twisted bilayer graphene
- "Quantum Geometric Nesting" and Solvable Model Flat-Band Systems
- Sign Problem in Quantum Monte Carlo Simulation
- Dirac fermions with plaquette interactions. III. SU(N) phase diagram with Gross-Neveu criticality and first-order phase transition
- Classical model emerges in quantum entanglement: Quantum Monte Carlo study for an Ising-Heisenberg bilayer
- Emus live on the Gross-Neveu-Yukawa archipelago
- Angle-Tuned Gross-Neveu Quantum Criticality in Twisted Bilayer Graphene: A Quantum Monte Carlo Study
- Twisted bilayer graphene at charge neutrality: competing orders of SU(4) Dirac fermions
- A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
- Network-Initialized Monte Carlo Based on Generative Neural Networks
- Strange metal phase of disordered magic-angle twisted bilayer graphene at low temperatures: from flatbands to weakly coupled Sachdev-Ye-Kitaev bundles
- Spectral functions of the honeycomb lattice with both the Hubbard and long-range Coulomb Interactions
- The competition between antiferromagnetism and superconductivity in a doped Hubbard model with anisotropic interaction
- Constraints from anti-unitary symmetries on phase diagrams of sign problem-free models