Fluctuations of a holographic quantum Hall fluid

Abstract

We analyze the neutral spectrum of the holographic quantum Hall fluid described by the D2-D8' model. As expected for a quantum Hall state, we find the system to be stable and gapped and that, at least over much of the parameter space, the lowest excitation mode is a magneto-roton. In addition, we find magneto-rotons in higher modes as well. We show that these magneto-rotons are direct consequences of level crossings between vector and scalar modes.

20 pages, 8 figures; v.2 figures improved, 2 figures added, and text clarified particularly in Sec. 5, to appear in JHEP

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• Unquenched massive flavors and flows in Chern-Simons matter theories
• 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
• Holographic sliding stripes
• A Holographic Quantum Hall Ferromagnet
• A Review of Magnetic Phenomena in Probe-Brane Holographic Matter
• A Holographic Model of Quantum Hall Transition
• D3-D7 Holographic dual of a perturbed 3D CFT
• Striped anyonic fluids
• Non-commutative massive unquenched ABJM
• Parametrization and thermodynamic scaling of pair correlation functions for the Fractional Quantum Hall Effect
• Novel semi-circle law and Hall sliding in a strongly interacting electron liquid
• Holographic duality and applications
• 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
• Quantum Hall Effect and Black Hole Entropy in Loop Quantum Gravity