Novel semi-circle law and Hall sliding in a strongly interacting electron liquid

Abstract

We study a strongly interacting, fermionic fluid in the presence of an applied magnetic field using a holographic framework. At low temperatures, translation symmetry is spontaneously broken and the resulting phase is a striped Hall fluid. Due to the magnetic field, an electric field applied parallel to the stripes causes the stripes to slide, a phenomenon we coin "Hall sliding." We also investigate the magneto-transport of the system in the presence of an explicit translation symmetry-breaking lattice which pins the stripes. Electrical properties are well represented by a hydrodynamical model, which gives us further insight into particle-like cyclotron and pseudo-Goldstone excitations we observe. The DC conductivities obey a novel semi-circle law, which we derive analytically in the translationally invariant ground state at low temperature.

37 pages, 14 figures; v2: minor edits, published version

References in corpus (16)

• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Holography of Dyonic Dilaton Black Branes
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Quantum Critical Transport and the Hall Angle
• Gravity Dual of a Quantum Hall Plateau Transition
• Hall Conductivity of Flavor Fields from AdS/CFT
• The Stress-Energy Tensor of Flavor Fields from AdS/CFT
• AC Transport at Holographic Quantum Hall Transitions
• Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
• Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
• Holographic pinning
• Backreacted DBI Magnetotransport with Momentum Dissipation
• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• Magneto-thermal transport implies an incoherent Hall conductivity
• Holographic Thermodynamics and Transport of Flavor Fields
• Duality and modular symmetry in the quantum Hall effect from Lifshitz holography

Cited by in corpus (3)

• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Zero sound and higher-form symmetries in compressible holographic phases