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Related Experiment Videos

Stability of the smectic quantum hall state: a quantitative study.

H Yi1, H A Fertig, R Côté

  • 1Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506-0055, USA.

Physical Review Letters
|November 1, 2000
PubMed
Summary

We developed an elastic theory for the stripe phase in two-dimensional electron gases at high Landau levels. This theory predicts quantum phase transitions into pinned stripes or a crystal phase, observable in conductivity changes.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials

Background:

  • Two-dimensional electron gases (2DEGs) exhibit complex phases at high Landau levels.
  • The stripe phase is a key emergent phenomenon in these systems.

Purpose of the Study:

  • To quantitatively describe the stripe phase in 2DEGs at high Landau levels (N>=2).
  • To investigate quantum phase transitions within the stripe phase.

Main Methods:

  • Developed an effective elastic theory.
  • Calculated the dynamical matrix using the time-dependent Hartree-Fock approximation.
  • Employed renormalization group analysis.

Main Results:

  • The theory accurately describes the stripe phase.
  • Identified quantum phase transitions at T=0 as filling factor deviates from 1/2.

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  • Transitions include stripe pinning by disorder or locking into a crystal structure.

    • Conclusions:

    • The elastic theory provides a quantitative framework for understanding the stripe phase.
    • Quantum phase transitions are predicted and linked to experimental observables.
    • Temperature dependence of dissipative conductivity can reveal these transitions.