Theory of the Quantum Hall Smectic Phase II: Microscopic Theory

Details Theory of the Quantum Hall Smectic Phase II: Microscopic Theory Theory of the Quantum Hall Smectic Phase II: Microscopic Theory

2001-06-08

arxiv.org/abs/cond-mat/0106171v3

Phys. Rev. B65, 245320 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

20 pages, RevTex, 3 figures, second part of cond-mat/0105448 New and improved Introduction. Final version as it will appear in

Scientific paper

10.1103/PhysRevB.65.245320

We present a microscopic derivation of the hydrodynamic theory of the Quantum Hall smectic or stripe phase of a two-dimensional electron gas in a large magnetic field. The effective action of the low energy is derived here from a microscopic picture by integrating out high energy excitations with a scale of the order the cyclotron energy.The remaining low-energy theory can be expressed in terms of two canonically conjugate sets of degrees of freedom: the displacement field, that describes the fluctuations of the shapes of the stripes, and the local charge fluctuations on each stripe.

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