Density-curvature response and gravitational anomaly

Abstract

We study constraints imposed by the Galilean invariance on linear electromagnetic and elastic responses of two-dimensional gapped systems in background magnetic field. Exact relations between response functions following from the Ward identities are derived. In addition to viscosity-conductivity relations known in literature we find new relations between the density-curvature response and the chiral central charge.

5 pages

References in corpus (1)

• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas

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