2013/11/27 by Rudro R. Biswas, Biswas, Rudro R.
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Diamond and Carbon-based Materials Research #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum and electron transport phenomena
paper · pdf · doi:10.48550/arxiv.1311.7149
openalex publication_date 2013/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Quantum Hall (QH) states are predicted to display an intriguing non-dissipative stress response to a shear deformation rate, a phenomenon variously known as asymmetric or Hall viscosity, or Lorentz shear response. Just as the QH effect results from the coupling of Chern-Simons fields of the effective theory to the electromagnetic field, so also Hall viscosity is found to arise from coupling of these fields to the 'metric' of the quadratic kinetic energy. In this paper I derive new physical insights for Hall viscosity by using an extended semiclassical approach to compute the conductivity of a single Landau level in a nonuniform electric field. I demonstrate that the inhomogeneity of an applied electric field is a viable experimentally tunable parameter for altering the metric, and hence creating strain in the QH state. Using these results, I argue that Hall viscosity arises from the shearing of local cyclotron orbits by the applied nonuniform electric fields.