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Landau Quasiparticles in Weak Power-Law Liquids

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Abstract

The failure of Landau-Fermi liquid theory is often considered a telltale sign of universal, scale-invariant behavior in the emergent field theory of interacting fermions. Nevertheless, there exist borderline cases where weak scale invariance coupled with particle-hole asymmetry can coexist with the Landau quasiparticle paradigm. In this letter, I show explicitly that a Landau-Fermi liquid can exist for weak power-law scaling of the retarded Green’s function. Such an exotic variant of the traditional Fermi liquid is shown to always be incompatible with Luttinger’s theorem for any non-trivial scaling. This result yields evidence for a Fermi liquid-like ground state in the high-field, underdoped pseudogap phase of the high-temperature cuprate superconductors.

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Notes

  1. Although power-law liquids were originally defined as a system characterized by a power-law scaling of the self-energy [25], I take the terminology to mean some general scaling of the Green’s function itself [26] throughout this paper.

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Acknowledgements

The author thanks Kevin Bedell, Krastan Blagoev, Matthew Gochan, and Kridsanaphong Limtragool for useful comments and suggestions.

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  1. Physics Department, Boston College, 140 Commonwealth Avenue, Chestnut Hill, MA, 02467, USA

    Joshuah T. Heath

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Heath, J.T. Landau Quasiparticles in Weak Power-Law Liquids. J Low Temp Phys 201, 200–212 (2020). https://doi.org/10.1007/s10909-020-02515-1

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