Pomeranchuk Instability of Composite Fermi Liquids

Lee, Kyungmin; Shao, Junping; Kim, Eun-Ah; Haldane, F. D. M.; Rezayi, Edward H.

doi:10.1103/physrevlett.121.147601

Title: Pomeranchuk Instability of Composite Fermi Liquids

Journal Article · 02 October 2018 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.121.147601 · OSTI ID:1610649

Lee, Kyungmin ^[1]; Shao, Junping ^[2]; Kim, Eun-Ah ^[3]; Haldane, F. D. M. ^[4]; Rezayi, Edward H. ^[5]

The Ohio State Univ., Columbus, OH (United States); DOE/OSTI
Binghamton Univ., NY (United States)
Cornell Univ., Ithaca, NY (United States)
Princeton Univ., NJ (United States)
California State Univ., Los Angeles, CA (United States)

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 F_ℓ ≤ –1 in the angular momentum ℓ = 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_ℓ of the composite fermion Fermi liquid with a finite layer width. We consider F_ℓ 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 η_c 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. As a result, 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.

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Research Organization:: Cornell Univ., Ithaca, NY (United States); Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0002140; SC0010313

OSTI ID:: 1610649

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 14 Vol. 121; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Geometric resonance of four-flux composite fermions Hossain, Md. Shafayat; Ma, Meng K.; Mueed, M. A. Physical Review B, Vol. 100, Issue 4 https://doi.org/10.1103/physrevb.100.041112	journal	July 2019
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Two-particle Fermi liquid parameters at the Mott transition: Vertex divergences, Landau parameters, and incoherent response in dynamical mean-field theory Krien, Friedrich; van Loon, Erik G. C. P.; Katsnelson, Mikhail I. Physical Review B, Vol. 99, Issue 24 https://doi.org/10.1103/physrevb.99.245128	journal	June 2019
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Two-particle Fermi liquid parameters at the Mott transition: Vertex divergences, Landau parameters, and incoherent response in dynamical mean-field theory Krien, Friedrich; van Loon, Erik G. C. P.; Katsnelson, Mikhail I. arXiv https://doi.org/10.48550/arxiv.1811.00362	text	January 2018
Unconventional anisotropic even-denominator fractional quantum Hall state in a system with mass anisotropy Hossain, Md. Shafayat; Ma, Meng K.; Chung, Y. J. arXiv https://doi.org/10.48550/arxiv.1811.07094	text	January 2018
Interaction-dependent anisotropy of fractional quantum Hall states Krishna, Akshay; Chen, Fan; Ippoliti, Matteo arXiv https://doi.org/10.48550/arxiv.1906.02835	text	January 2019

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Title: Pomeranchuk Instability of Composite Fermi Liquids

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