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Ideal Chern bands as Landau levels in curved space

Benoit Estienne ¹, Nicolas Regnault^2,3, and Valentin Crépel ⁴

¹Sorbonne Université, CNRS, Laboratoire de Physique Théorique et Hautes Énergies, LPTHE, F-75005 Paris, France
²Laboratoire de Physique de l'Ecole Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris-Diderot, Sorbonne Paris Cité, 75005 Paris, France
³Department of Physics, Columbia University, New York, New York 10027, USA
⁴Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, USA

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Articles Citing

Ideal Chern bands as Landau levels in curved space

Two-dimensional subwavelength topological dark state lattices

Universal Wilson Loop Bound of Quantum Geometry

Emergence of a Landau Level Structure in Dark Optical Lattices

Higher Vortexability: Zero-Field Realization of Higher Landau Levels

Geometrical responses of generalized Landau levels: Structure factor and the quantized Hall viscosity

Moiré fractional Chern insulators. IV. Fluctuation-driven collapse in multiband exact diagonalization calculations on rhombohedral graphene

Low-energy optical absorption in correlated insulators: Projected sum rules and the role of quantum geometry

Layer skyrmions for ideal Chern bands in twisted graphene systems

Computing the Z2 invariant in two-dimensional strongly correlated systems

Broken symmetry in ideal Chern bands

Quantum geometry in quantum materials

Fractional quantization in insulators from Hall to Chern

Bridging the small and large in twisted transition metal dichalcogenide homobilayers: A tight binding model capturing orbital interference and topology across a wide range of twist angles

Chern mosaic and ideal flat bands in equal-twist trilayer graphene

Anomalous Hall Crystals in Rhombohedral Multilayer Graphene. I. Interaction-Driven Chern Bands and Fractional Quantum Hall States at Zero Magnetic Field

Transport Properties of a Half-Filled Chern Band at the Electron and Composite Fermion Phases

Sublattice Structure and Topology in Spontaneously Crystallized Electronic States

Adiabatic approximation and Aharonov-Casher bands in twisted homobilayer transition metal dichalcogenides

Helical trilayer graphene in magnetic field: Chern mosaic and higher Chern number ideal flat bands

Attractive Haldane bilayers for trapping non-Abelian anyons

Hofstadter spectrum of Chern bands in twisted transition metal dichalcogenides

Constructing vortex functions and basis states of Chern insulators: Ideal condition, inequality from index theorem, and coherentlike states on the von Neumann lattice

Fractional Chern insulators versus nonmagnetic states in twisted bilayer MoTe2

Time-reversal invariant topological moiré flat band: A platform for the fractional quantum spin Hall effect

Nature of even and odd magic angles in helical twisted trilayer graphene

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