• Editors' Suggestion

Pomeranchuk Instability of Composite Fermi Liquids

Kyungmin Lee, Junping Shao, Eun-Ah Kim, F. D. M. Haldane, and Edward H. Rezayi
Phys. Rev. Lett. 121, 147601 – Published 3 October 2018

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 F1 in the angular momentum =2 channel has been argued to be the relevant mechanism, yet there are no definitive theoretical proofs. Here we calculate, using the variational Monte Carlo technique, Fermi liquid parameters F of the composite fermion Fermi liquid with a finite layer width. We consider F in different Landau levels n=0, 1, 2 as a function of layer width parameter 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. Furthermore, the critical value ηc is higher for the n=2 Landau level, which is consistent with observation of nematic order in ambient conditions only in the n=2 Landau levels. The picture emerging from our work is that approaching the true 2D limit brings half-filled higher Landau-level systems to the brink of nematic Pomeranchuk instability.

  • Figure
  • Figure
  • Figure
  • Received 26 February 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.147601

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Kyungmin Lee1, Junping Shao2, Eun-Ah Kim3,*, F. D. M. Haldane4, and Edward H. Rezayi5

  • 1Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
  • 2Department of Physics, Binghamton University, Binghamton, New York 13902, USA
  • 3Department of Physics, Cornell University, Ithaca, New York 14853, USA
  • 4Department of Physics, Princeton University, Princeton, New Jersey, USA
  • 5Department of Physics, California State University Los Angeles, Los Angeles, California 90032, USA

  • *Corresponding author. eun-ah.kim@cornell.edu

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 121, Iss. 14 — 5 October 2018

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×