Intertwined Order in Fractional Chern Insulators from Finite-Momentum Pairing of Composite Fermions

Abstract

We investigate the problem of intertwined orders in fractional Chern insulators by considering lattice fractional quantum Hall (FQH) states arising from pairing of composite fermions in the square-lattice Hofstadter model. At certain filling fractions, magnetic translation symmetry ensures the composite fermions form Fermi surfaces with multiple pockets, leading to the formation of finite-momentum Cooper pairs in the presence of attractive interactions. We obtain mean-field phase diagrams exhibiting a rich array of striped and topological phases, establishing paired lattice FQH states as an ideal platform to investigate the intertwining of topological and conventional broken symmetry order.

15 pages, 11 figures. v2: Updated references and acknowledgments. v3: Published version

References in corpus (19)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Theory of Intertwined Orders in High Temperature Superconductors
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Nearly-flat bands with nontrivial topology
• Fractional quantum Hall effect in the absence of Landau levels
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Fractional Chern Insulator States in Twisted Bilayer Graphene: An Analytical Approach
• Dislocations and vortices in pair density wave superconductors
• Particle-Hole Duality, Emergent Fermi Liquids and Fractional Chern Insulators in Moiré Flatbands
• Composite Fermion Theory for Bosonic Atoms in Optical Lattices
• Robust Bilayer Charge-Pumping for Spin- and Density-Resolved Quantum Gas Microscopy
• Gate-Tunable Fractional Chern Insulators in Twisted Double Bilayer Graphene
• From fractional Chern insulators to Abelian and non-Abelian fractional quantum Hall states: adiabatic continuity and orbital entanglement spectrum
• Onset of Quantum Criticality in the Topological-to-Nematic Transition in a Two-dimensional Electron Gas at Filling Factor $\nu =5/2$
• The Weakly Coupled Pfaffian as a Type I Quantum Hall Liquid
• Stripe-ordered superfluid and supersolid phases in attractive Hofstadter-Hubbard model
• Fermionic non-Abelian fractional Chern insulators from dipolar interactions

Cited by in corpus (7)

• Spontaneous fractional Chern insulators in transition metal dichalcogenides Moire superlattices
• Zero-field composite Fermi liquid in twisted semiconductor bilayers
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
• Synthetic Flux Attachment
• Phase diagram of superconductivity in the integer quantum Hall regime
• Theory of Hofstadter Superconductors