Pomeranchuk instability of composite Fermi liquid

ORAL

Abstract

Nematicity in quantum Hall systems has been experimentally well established at excited Landau levels. The mechanism of the symmetry breaking, however, is still unknown. Pomeranchuk instability of Fermi liquid parameter Fl≤ -1 in the angular momentum l=2 channel has been hypothesized to be the relevant mechanism, yet there are no clear theoretical proofs. Here we calculate, using variational Monte Carlo technique, Fermi liquid parameters Fl of the composite Fermi liquid interacting with 1/r coulomb interaction. We consider Fl in different Landau levels n=0,1,2 as functions of layer width η. We find that unlike the lowest Landau level, which shows no sign of Pomeranchuk instability, higher Landau levels show nematic instability below critical values of η.

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Presenters

  • Eun-Ah Kim

    Cornell University, Cornell Univ, Department of Physics, Cornell University, Physics, Cornell University

Authors

  • Eun-Ah Kim

    Cornell University, Cornell Univ, Department of Physics, Cornell University, Physics, Cornell University

  • Kyungmin Lee

    The Ohio State University, Department of Physics, The Ohio State University, Ohio State Univ - Columbus, Ohio State University

  • Junping Shao

    Binghamton University

  • Frederick D Haldane

    Princeton University, Physics, Princeton University

  • Edward Rezayi

    California State University Los Angeles, Cal State Univ- Los Angeles, California State University, Los Angeles, Cal State LA, Physics and Astronomy, Californa State University Los Angeles