2005/05/31 by I. V. Tokatly
Mathematics · Physics and Astronomy · #Analogy #Classical mechanics #Compressibility #Connection (principal bundle) #Correspondence principle (sociology) #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Simple (philosophy) #Theoretical physics #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.73.205340
published as Phys. Rev. B 73, 205340 (2006) · RevTeX 4, 6 pages; expanded version to appear in PRB; more technical details, and discussions of the physics added
arxiv created 2006/05/19 · openalex publication_date 2006/05/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A simple and physically transparent magnetoelasticity theory is proposed to describe linear dynamics of incompressible fractional quantum Hall states. The theory manifestly satisfies the Kohn theorem and the f-sum rule, and predicts a gaped intra-Landau level collective mode with a roton minimum. In the limit of vanishing bare mass m, the correct form of the static structure factor, s(q)\ensuremath∼q4, is recovered. We establish a connection of the present approach to the fermionic Chern-Simons theory, and discuss further extensions and applications. We also make an interesting analogy of the present theory to the theory of viscoelastic fluids.