A Two Fluid Description of the Quantum Hall Soliton

Abstract

We show that the Quantum Hall Soliton constructed in \cite{giantbob} is stable under small perturbations. We find that creating quasiparticles actually lowers the energy of the system, and discuss whether this indicates an instability on the time scales relevant to the problem.

28 pages, 2 figures

References in corpus (5)

• The Quantum Hall Fluid and Non-Commutative Chern Simons Theory
• A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation
• How Bob Laughlin Tamed the Giant Graviton from Taub-NUT space
• Realizing the Quantum Hall System in String Theory
• D-brane Dynamics and the Quantum Hall Effect

Cited by in corpus (12)

• Gravity Dual of a Quantum Hall Plateau Transition
• Quantum Hall Effect in AdS/CFT
• D0-branes in Black Hole Attractors
• Jain States in a Matrix Theory of the Quantum Hall Effect
• Dynamics of Giant-Gravitons in the LLM geometry and the Fractional Quantum Hall Effect
• Noncommutative geometry, Quantum effects and DBI-scaling in the collapse of D0-D2 bound states
• Some Studies in Noncommutative Quantum Field Theories
• Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields
• Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4
• Matrix Effective Theories of the Fractional Quantum Hall effect
• Rigid open membrane and non-abelian non-commutative Chern-Simons theory
• The manifest covariant soliton solutions on noncommutative orbifold $T^2/Z_6$ and $T^2/Z_3$