Vortexability: A unifying criterion for ideal fractional Chern insulators
Patrick J. Ledwith, Ashvin Vishwanath, Daniel E. Parker
Abstract
Fractional Chern insulators exhibit the fractional quantum Hall effect (FQHE) in crystalline systems, without the need for strong magnetic fields, resulting in charge fractionalization, long-range entanglement, and anyonic statistics, potentially at elevated energy scales. The lowest Landau level (LLL) hosts the FQHE, but high Landau levels and many Chern bands do not. Vortexable bands capture the essential physics of the LLL that leads to the FQHE without requiring its more fine-tuned properties, such as uniformity of Berry curvature and of charge density.
Topics & Concepts
Fractional quantum Hall effectPhysicsBerry connection and curvatureLandau quantizationQuantum Hall effectCondensed matter physicsQuantum mechanicsSpin (aerodynamics)Magnetic fieldQuantumQuantum spin Hall effectThermodynamicsQuantum and electron transport phenomenaTopological Materials and PhenomenaGraphene research and applications