Newton-Cartan geometry and the quantum Hall effect
D. Son
Abstract
We construct an effective field theory for quantum Hall states, guided by the requirements of nonrelativistic general coordinate invariance and regularity of the zero mass limit. We propose Newton-Cartan geometry as the most natural formalism to construct such a theory. Universal predictions of the theory are discussed.
Topics & Concepts
GeometryPhysicsMathematicsClassical mechanicsTheoretical physicsMathematical physicsQuantum and electron transport phenomenaQuantum Mechanics and ApplicationsLow-power high-performance VLSI design