Magnetoelasticity theory of incompressible quantum Hall liquids

Physical Review B 73, 205340 (2006)

Magnetoelasticity theory of incompressible quantum Hall liquids

I. V. Tokatly

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)~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.

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http://dx.doi.org/10.1103/PhysRevB.73.205340

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