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Density-curvature response and gravitational anomaly (1403.5809v1)
Published 23 Mar 2014 in cond-mat.str-el, cond-mat.mes-hall, hep-th, math-ph, and math.MP
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.
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