Comments on Hall transport from effective actions

Haehl, Felix M; Rangamani, Mukund

Abstract

We consider parity-odd transport in 2+1 dimensional charged fluids restricting attention to the class of non-dissipative fluids. We show that there is a two parameter family of such non-dissipative fluids which can be derived from an effective action, in contradistinction with a four parameter family that can be derived from an entropy current analysis. The effective action approach allows us to extract the adiabatic transport data, in particular the Hall viscosity and Hall conductivity amongst others, in terms of the thermodynamic functions that enter as ‘coupling constants’. Curiously, we find that Hall viscosity is forced to vanish, whilst the Hall conductivity is generically a non-vanishing function of thermodynamic data determined in terms of the hydrodynamic couplings.

Citation

Haehl, F. M., & Rangamani, M. (2013). Comments on Hall transport from effective actions. Journal of High Energy Physics, 2013(10), https://doi.org/10.1007/jhep10%282013%29074

• Journal Article Type: Article
• Publication Date: Oct 11, 2013
• Deposit Date: Oct 25, 2013
• Publicly Available Date: Dec 11, 2013
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2013
• Issue: 10
• DOI: https://doi.org/10.1007/jhep10%282013%29074
• Public URL: https://durham-repository.worktribe.com/output/1475513