Newton-Cartan geometry and the quantum Hall effect

By D. Son. Low temperature physics (Woodbury, N.Y., Print), 2013

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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.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/84424a07657d8b60a9c2ffba10ba90ad02066b20