Theory of the Quantum Hall Smectic Phase, I: Low Energy Properties of the Quantum Hall Smectic Fixed Point

摘要

We develop an effective low energy theory of the Quantum Hall (QH) Smectic orstripe phase of a two-dimensional electron gas in a large magnetic field interms of its Goldstone modes and of the charge fluctuations on each stripe.This liquid crystal phase corresponds to a fixed point which is explicitlydemonstrated to be stable against quantum fluctuations at long wavelengths.This fixed point theory also allows an unambiguous reconstruction of theelectron operator. We find that quantum fluctuations are so severe that theelectron Green function decays faster than any power-law, although slower thanexponentially, and that consequently there is a deep pseudo-gap in thequasiparticle spectrum. We discuss, but do not resolve the stability of thequantum Hall smectic to crystallization. Finally, the role of Coulombinteractions and the low temperature thermodynamics of the QH smectic state areanalyzed.