Newton-Cartan geometry and the quantum Hall effect

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.

• NS
  National Science Foundation

  Awards: 0820054, DMR-0820054
• UD
  U.S. Department of Energy

  Awards: DE-FG02-90ER, DE-FG02-, DE-FG02-90ER-40560, DE-FG02
• MR
  Materials Research Science and Engineering Center, Harvard University
• DO
  Division of Materials Research

  Awards: 0820054, DMR-0820054