Quantum Hall smectics, sliding symmetry, and the renormalization group [58]

Michael J. Lawler, Eduardo Fradkin

Research output: Contribution to journalArticlepeer-review


In this paper we discuss the implication of the existence of a sliding symmetry, equivalent to the absence of a shear modulus, on the low-energy theory of the quantum hall smectic (QHS) state. We show, through renormalization group calculations, that such a symmetry causes the naive continuum approximation in the direction perpendicular to the stripes to break down through infrared divergent contributions originating from naively irrelevant operators. In particular, we show that the correct fixed point has the form of an array of sliding Lüttinger liquids which is free from superficially "irrelevant operators." Similar considerations apply to all theories with sliding symmetries.

Original languageEnglish (US)
Article number165310
Pages (from-to)1-7
Number of pages7
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number16
StatePublished - Oct 2004

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Quantum Hall smectics, sliding symmetry, and the renormalization group [58]'. Together they form a unique fingerprint.

Cite this