English

Liquid Crystal Phases of Quantum Hall Systems

Mesoscale and Nanoscale Physics 2009-10-31 v1 Strongly Correlated Electrons

Abstract

Mean-field calculations for the two dimensional electron gas (2DEG) in a large magnetic field with a partially filled Landau level with index N2N\geq 2 consistently yield ``stripe-ordered'' charge-density wave ground-states, for much the same reason that frustrated phase separation leads to stripe ordered states in doped Mott insulators. We have studied the effects of quantum and thermal fluctuations about such a state and show that they can lead to a set of electronic liquid crystalline states, particularly a stripe-nematic phase which is stable at T>0T>0. Recent measurements of the longitudinal resistivity of a set of quantum Hall devices have revealed that these systems spontaneously develop, at low temepratures, a very large anisotropy. We interpret these experiments as evidence for a stripe nematic phase, and propose a general phase diagram for this system.

Keywords

Cite

@article{arxiv.cond-mat/9810151,
  title  = {Liquid Crystal Phases of Quantum Hall Systems},
  author = {Eduardo Fradkin and Steven A. Kivelson},
  journal= {arXiv preprint arXiv:cond-mat/9810151},
  year   = {2009}
}

Comments

9 pages, 3 figures