Density-curvature response and gravitational anomaly
Gromov, Andrey · Abanov, Alexander G.
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Mathematical Physics
Original · EN
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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