Magneto-roton excitation in a holographic quantum Hall fluid

Abstract

We compute the neutral bosonic excitation spectra of the holographic quantum Hall fluid described by the D3-D7' system. We find that the system is stable, gapped, and, in a range of parameters, exhibits a spectrum of low-lying excitations very similar to that of a quantum Hall fluid, including a magneto-roton excitation.

17 pages, 15 figures; v2: added references, v3: discussion added

References in corpus (7)

• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Hydrodynamics of Holographic Superconductors
• Gravity Dual of a Quantum Hall Plateau Transition
• Transport Properties of Holographic Defects
• ABJM with Flavors and FQHE
• AC Transport at Holographic Quantum Hall Transitions
• Splitting of Long-Wavelength Modes of the Fractional Quantum Hall Liquid at $\nu =1/3$

Cited by in corpus (29)

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• Unquenched massive flavors and flows in Chern-Simons matter theories
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• Holographic pinning
• Gravity dual of spin and charge density waves
• Thermodynamics of the brane in Chern-Simons matter theories with flavor
• Flux and Hall states in ABJM with dynamical flavors
• Fluctuations of a holographic quantum Hall fluid
• Holographic sliding stripes
• Fluctuations in finite density holographic quantum liquids
• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
• Gravity dual of a multilayer system
• Filling up complex spectral regions through non-Hermitian disordered chains
• A Holographic Quantum Hall Ferromagnet
• Flavor-symmetry Breaking with Charged Probes
• A Review of Magnetic Phenomena in Probe-Brane Holographic Matter
• Quantum information probes of charge fractionalization in large-$N$ gauge theories
• D3-D7 Holographic dual of a perturbed 3D CFT
• Holographic complexity of the disk subregion in (2+1)-dimensional gapped systems
• Striped anyonic fluids
• Non-commutative massive unquenched ABJM
• Flowing holographic anyonic superfluid
• Duality and modular symmetry in the quantum Hall effect from Lifshitz holography
• A renormalisation group equation for transport co-efficients in (2+1)-dimensions derived from the AdS/CMT correspondence