Ideal Chern bands as Landau levels in curved space
Benoit Estienne, N. Regnault, Valentin Crépel
Abstract
What are some propitious conditions for the emergence of chiral topological phases in the absence of an external field? Identifying all solid-state bands that can be exactly mapped to a Landau level (with a spatially varying metric and magnetic field) provides the bedrock for exact fractional Chern insulating ground states.
Topics & Concepts
Landau quantizationEquivalence (formal languages)Space (punctuation)PhysicsWave functionMagnetic fieldIdeal (ethics)MathematicsTheoretical physicsMathematical physicsPure mathematicsQuantum mechanicsComputer sciencePhilosophyEpistemologyOperating systemQuantum and electron transport phenomenaTopological Materials and PhenomenaQuantum Mechanics and Non-Hermitian Physics