Emergence of Chern Supermetal and Pair-Density Wave through Higher-Order Van Hove Singularities in the Haldane-Hubbard Model

Abstract

While advances in electronic band theory have brought to light new topological systems, understanding the interplay of band topology and electronic interactions remains a frontier question. In this work, we predict new interacting electronic orders emerging near higher-order Van Hove singularities present in the Chern bands of the Haldane model. We classify the nature of such singularities and employ unbiased renormalization group methods that unveil a complex landscape of electronic orders, which include ferromagnetism, density-waves and superconductivity. Importantly, we show that repulsive interactions can stabilize long-sought pair-density wave state and an exotic Chern supermetal, which is a new class of non-Fermi liquid with anomalous quantum Hall response. This framework opens a new path to explore unconventional electronic phases in two-dimensional chiral bands through the interplay of band topology and higher-order Van Hove singularities.

6 pages; 3 figures

References in corpus (13)

• The electronic properties of graphene
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Fractional quantum Hall effect in the absence of Landau levels
• Fractional Chern insulators in magic-angle twisted bilayer graphene
• Correlated Hofstadter Spectrum and Flavor Phase Diagram in Magic Angle Graphene
• Competing orders at higher-order Van Hove points
• Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
• Spin-valley locked instabilities in moire transition metal dichalcogenides with conventional and higher-order Van Hove singularities
• Pair density wave and loop current promoted by van Hove singularities in moiré systems
• Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
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• Nodal pair density waves from a quarter-metal in crystalline graphene multilayers
• The Crossover from Ordinary to Higher-Order van Hove Singularity in a Honeycomb System: A Parquet Renormalization Group Analysis
• Three-dimensional higher-order saddle points induced flat bands in Co-based kagome metals
• Higher-Order Van Hove Singularities in Kagome Topological Bands
• Density matrix renormalization group study of quantum-geometry-facilitated pair density wave order
• Enhanced pair-density-wave vertices in a bilayer Hubbard model at half-filling
• Vestigial $d$-wave charge-$4e$ Superconductivity from Bidirectional Pair Density Waves
• Odd-parity altermagnetism through sublattice currents: From Haldane-Hubbard model to general bipartite lattices
• Emergence of charge density wave and superconducting phase transitions through Lorentz-invariant interactions in the Haldane-Hubbard model
• Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study
• Kekulé order from diffuse nesting near higher-order Van Hove points