Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session B07: Integer Quantum Hall
11:15 AM–2:15 PM,
Monday, March 5, 2018
LACC Room: 153B
Sponsoring Unit: DCMP
Chair: Javad Shabani, New York University
Abstract: B07.00009 : Second-order geometric responses and central charge*
12:51 PM–1:03 PM
We extend the study of Hall viscosity and thermal Hall conductivity to spatially inhomogeneous perturbations of the metric; we mainly focus on contributions that are second-order in wavevector.
In a simple non-interacting Quantum Hall model, we confirm a second-order contribution to the antisymmetric part of viscosity area-preserving perturbations (shears), as well as another independent contribution due to dilations. In explicitly calculating geometric linear response coefficients on the edge, we establish a bulk-boundary correspondence for the second-order, antisymmetric part of viscosity.
We substantiate this correspondence using effective field theories and an anomaly inflow argument, which also allows us to relate parts of the second-order geometric responses in the bulk to the topological central charge of the edge theory.
 B. Bradlyn, N. Read, Phys. Rev. B 91, 165306 (2015)
 A. Abanov, A. Gromov, Phys. Rev. B 90, 014435 (2014)
*NSF grant No. DMR-1408916
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