Fractional quantum Hall coexistence phases in higher Landau levels of graphene

Abstract

Monolayer graphene under a strong magnetic field near charge neutrality manifests the integer and fractional quantum Hall effects. Since only some of the four spin/valley flavors available to the electrons in each Landau level manifold are filled, they also exhibit spontaneous symmetry breaking the in spin/valley sector, a phenomenon known as quantum Hall ferromagnetism. In this work, we study quantum Hall ferromagnets in the higher Landau level manifolds of monolayer graphene and show that there is an even richer set of symmetry-broken phases than in the lowest Landau level manifold. Specifically, both valley polarized and valley equatorial (where the occupied Landau levels are in an equal superposition of both valleys) ferromagnets, antiferromagnets, and canted antiferromagnets are found. Several types of spin valley entangled phases are found, all of which manifest the simultaneous spontaneous symmetry breaking of both magnetic and lattice symmetries.

arXiv comment27 pages, 18 figures

References in corpus (64)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Topological Insulators
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
• Observation of the Fractional Quantum Hall Effect in Graphene
• Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene
• Signatures of Fractional Quantum Anomalous Hall States in Twisted MoTe2 Bilayer
• Observation of Fractionally Quantized Anomalous Hall Effect
• Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
• Integer and fractional Chern insulators in twisted bilayer MoTe2
• Spin Filtered Edge States and Quantum Hall Effect in Graphene
• Multicomponent fractional quantum Hall effect in graphene
• Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
• Origin of band gaps in graphene on hexagonal boron nitride
• Tunable symmetry breaking and helical edge transport in a graphene quantum spin Hall state
• Edge States and the Quantized Hall Effect in Graphene
• Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
• Collective Modes and Skyrmion Excitations in Graphene SU(4) Quantum Hall Ferromagnets
• Phase diagram for the $\nu =0$ quantum Hall state in monolayer graphene
• Theory of integer quantum Hall effect in graphene
• Interplay of Coulomb and electron-phonon interactions in graphene
• Visualizing Broken Symmetry and Topological Defects in a Quantum Hall Ferromagnet
• Even denominator fractional quantum Hall states at an isospin transition in monolayer graphene
• Spontaneous symmetry breakings in graphene subjected to in-plane magnetic field
• Insulating behavior at the neutrality point in dual-gated, single-layer graphene
• Landau Level Mixing and the Fractional Quantum Hall Effect
• Composite Fermions and Broken Symmetries in Graphene
• Even denominator fractional quantum Hall states in higher Landau levels of graphene
• More Realistic Hamiltonians for the Fractional Quantum Hall Regime in GaAs and Graphene
• Luttinger Liquid at the Edge of a Graphene Vacuum
• Long-Distance Spin Transport Through a Graphene Quantum Hall Antiferromagnet
• Moiré band model and band gaps of graphene on hexagonal boron nitride
• SO(3) symmetry between Neel and ferromagnetic order parameters for graphene in a magnetic field
• Imaging tunable quantum Hall broken-symmetry orders in graphene
• Electrical generation and detection of spin waves in a quantum Hall ferromagnet
• STM Study of Quantum Hall Isospin Ferromagnetic States of Zero Landau Level in Graphene Monolayer
• The nature of composite fermions and the role of particle hole symmetry: A microscopic account
• Fractional Quantum Hall Effect in Graphene: Quantitative Comparison between Theory and Experiment
• The Effects of Landau level mixing on the fractional quantum Hall effect in monolayer Graphene
• Broken SU(4) Symmetry and The Fractional Quantum Hall Effect in Graphene
• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Functional Renormalization Group Study of Superconductivity in Rhombohedral Trilayer Graphene
• Spontaneous polarization of composite fermions in the $n=1$ Landau level of graphene
• Fractional Quantum Hall Effects in Graphene and Its Bilayer
• Fractional Quantum Hall Effect at $\nu =2+4/9$
• Entanglement Skyrmions in multicomponent quantum Hall systems
• Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene
• Strong-Magnetic-Field Magnon Transport in Monolayer Graphene
• Spin-valley skyrmions in graphene at filling factor $\nu =-1$
• Skyrmion zoo in graphene at charge neutrality in a strong magnetic field
• SU(4) Skyrmions in the $\nu =\pm 1$ Quantum Hall State of Graphene
• SU(4) spin waves in the $\nu =\pm 1$ quantum Hall ferromagnet in graphene
• Theoretical phase diagram of two-component composite fermions in double layer graphene
• Global phase diagram of charge neutral graphene in the quantum Hall regime for generic interactions
• Theory of Competing Charge Density Wave, Kekule and Antiferromagnetic ordered Fractional Quantum Hall states in Graphene aligned with Boron Nitride
• Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
• Spin-valley entangled quantum Hall states in graphene
• Theory of broken symmetry quantum Hall states in the $N=1$ Landau level of Graphene
• Phase diagram of the $\nu =2$ quantum Hall state in bilayer graphene
• Electrical noise spectroscopy of magnons in a quantum Hall ferromagnet
• Magnetic and Lattice Ordered Fractional Quantum Hall Phases in Graphene

Cited by in corpus (4)

• Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere
• Anomalous Transport Gaps of Fractional Quantum Hall Phases in Graphene Landau Levels are Induced by Spin-Valley Entangled Ground States
• Uniquely identifying quantum Hall phases in charge neutral graphene
• Time-dependent conserved operators for autonomous systems and quantization of resistance