Angular Momentum Generation from Holographic Chern-Simons Models
arXiv:1311.6368 · doi:10.1007/JHEP12(2014)090
Abstract
We study parity-violating effects, particularly the generation of angular momentum density and its relation to the parity-odd and dissipationless transport coefficient Hall viscosity, in strongly-coupled quantum fluid systems in 2+1 dimensions using holographic method. We employ a class of 3+1-dimensional holographic models of Einstein-Maxwell system with gauge and gravitational Chern-Simons terms coupled to a dynamical scalar field. The scalar can condensate and break the parity spontaneously. We find that when the scalar condensates, a non-vanishing angular momentum density and an associated edge current are generated, and they receive contributions from both gauge and gravitational Chern-Simons terms. The angular momentum density does not satisfy a membrane paradigm form because the vector mode fluctuations from which it is calculated are effectively massive. On the other hand, the emergence of Hall viscosity is a consequence of the gravitational Chern-Simons term alone and it has membrane paradigm form. We present both general analytic results and numeric results which take back-reactions into account. The ratio between Hall viscosity and angular momentum density resulting from the gravitational Chern-Simons term has in general a deviation from the universal 1/2 value obtained from field theory and condensed matter physics.
27 pages, 4 figures; Section 3.4 added; minor changes
References in corpus (13)
- Massive Gravity
- Schwinger-Keldysh Propagators from AdS/CFT Correspondence
- Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
- Colorful horizons with charge in anti-de Sitter space
- Surface States, Edge Currents and the Angular Momentum of Chiral p-wave Superfluids
- Quantum critical lines in holographic phases with (un)broken symmetry
- Lorentz shear modulus of a two-dimensional electron gas at high magnetic field
- Effective theory of chiral two-dimensional superfluids
- Hydrodynamics of Euler incompressible fluid and the Fractional Quantum Hall Effect
- Non-Relativistic Parity-Violating Hydrodynamics in Two Spatial Dimensions
- Spontaneous Generation of Angular Momentum in Holographic Theories
- Holographic Spontaneous Parity Breaking and Emergent Hall Viscosity and Angular Momentum
- Novel Parity Violating Transport Coefficients in 2+1 Dimensions from Holography