Phase Transitions and Conductivties of Floquet Fluids
arXiv:1802.05285 · doi:10.1007/JHEP09(2018)082
Abstract
We investigate the phase structure and conductivity of a relativistic fluid in a circulating electric field with a transverse magnetic field. This system exhibits behavior similar to other driven systems such as strongly coupled driven CFTs [Rangamani2015] or a simple anharmonic oscillator. We identify distinct regions of fluid behavior as a function of driving frequency, and argue that a "phase" transition will occur. Such a transition could be measurable in graphene, and may be characterized by sudden discontinuous increase in the Hall conductivity. The presence of the discontinuity depends on how the boundary is approached as the frequency or amplitude is dialed. In the region where two solution exists the measured conductivity will depend on how the system is prepared.
v2: corrected typos and updated references
References in corpus (8)
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Hall conductivity from dyonic black holes
- Topological index for periodically driven time-reversal invariant 2D systems
- Hydrodynamic-to-ballistic crossover in Dirac fluid
- Pulsating flow and boundary layers in viscous electronic hydrodynamics
- Floquet Scalar Dynamics in Global AdS
- Driven Holographic CFTs
- Holographic Floquet states II: Floquet condensation of vector mesons in nonequilibrium phase diagram