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Asymptotic Pomeranchuk instability of Fermi liquids in half-filled Landau levels

Quintanilla, Jorge, Ciftja, Orion (2023) Asymptotic Pomeranchuk instability of Fermi liquids in half-filled Landau levels. Scientific Reports, 13 (1). Article Number 1400. ISSN 2045-2322. (doi:10.1038/s41598-023-28614-z) (KAR id:44910)

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We present a theory of spontaneous Fermi surface deformations for half-filled Landau levels (filling factors of the form ν = 2 n + 1/2). We assume the half-filled level to be in a compressible, Fermi liquid state with a circular Fermi surface. The Landau level projection is incorporated via a modified effective electron-electron interaction and the resulting band structure is described within the Hartree-Fock approximation. We regulate the infrared divergences in the theory and probe the intrinsic tendency of the Fermi surface to deform through Pomeranchuk instabilities. We find that the corresponding susceptibility never diverges, though the system is asymptotically unstable in the n → ∞ limit.

Item Type: Article
DOI/Identification number: 10.1038/s41598-023-28614-z
Additional information: For the purpose of open access, the author has applied a CC BY public copyright licence (where permitted by UKRI, an Open Government Licence or CC BY ND public copyright licence may be used instead) to any Author Accepted Manuscript version arising
Uncontrolled keywords: quantum hall, fermi surface deformations, pomeranchuk instability, quantum many-body theory, mean field theories
Subjects: Q Science
Q Science > QC Physics
Q Science > QC Physics > QC174.12 Quantum theory
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Funders: Engineering and Physical Sciences Research Council (
Depositing User: Jorge Quintanilla Tizon
Date Deposited: 22 Jan 2023 21:00 UTC
Last Modified: 04 Mar 2024 15:55 UTC
Resource URI: (The current URI for this page, for reference purposes)

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