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

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

2001-05-23

arxiv.org/abs/cond-mat/0105448v4

Phys. Rev. B 65, 245319 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

14 pages, 1 figure. Greatly improved mansucript, including a detailed discussion of the problem of crystallization and new res

Scientific paper

10.1103/PhysRevB.65.245319

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

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