Hall viscosity, spin density, and torsion

Abstract

We investigate the relationship between Hall viscosity, spin density and response to geometric torsion. For the most general effective action for relativistic gapped systems, the presence of non-universal terms implies that there is no relationship between torsion response and Hall viscosity. We also consider free relativistic and non-relativistic microscopic actions and again verify the existence of analogous non-universal couplings. Explicit examples demonstrate that torsion response is unrelated to both Hall viscosity and spin density. We also argue that relativistic gapped theories must have vanishing Hall viscosity in Lorentz invariant vacuums.

15 pages, 1 figure

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Cited by in corpus (8)

• Warped Conformal Field Theory as Lower Spin Gravity
• Fields and fluids on curved non-relativistic spacetimes
• Newton-Cartan Gravity and Torsion
• Universal Gibbons-Hawking-York term for theories with curvature, torsion and non-metricity
• Chiral Torsional Effects in Anomalous Fluids in Thermal Equilibrium
• Resonant algebras in Chern-Simons model of topological insulators
• Torsional response of relativistic fermions in $2+1$ dimensions
• Geometric and computational aspects of chiral topological quantum matter