Entropy in the Non-Fermi-Liquid Regime of the Doped 2D Hubbard Model

Connor Lenihan, Aaram J. Kim, Fedor Šimkovic IV., and Evgeny Kozik
Phys. Rev. Lett. 126, 105701 – Published 12 March 2021
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Abstract

We study thermodynamic properties of the doped Hubbard model on the square lattice in the regime of strong charge and spin fluctuations at low temperatures near the metal-to-insulator crossover and obtain results with controlled accuracy using the diagrammatic Monte Carlo method directly in the thermodynamic limit. The behavior of the entropy reveals a non-Fermi-liquid state at sufficiently high interactions near half filling: A maximum in the entropy at nonzero doping develops as the coupling strength is increased, along with an inflection point, evidencing a metal to non-Fermi-liquid crossover. The specific heat exhibits additional distinctive features of a non-Fermi-liquid state. Measurements of the entropy can, therefore, be used as a probe of the state of the system in quantum simulation experiments with ultracold atoms in optical lattices.

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  • Received 28 January 2020
  • Accepted 28 January 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.105701

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

Connor Lenihan1, Aaram J. Kim1,*, Fedor Šimkovic IV.1,2,3, and Evgeny Kozik1,†

  • 1Department of Physics, King’s College London, Strand, London WC2R 2LS, United Kingdom
  • 2Centre de Physique Théorique, École Polytechnique, CNRS, Université Paris-Saclay, 91128 Palaiseau, France
  • 3Collège de France, 11 place Marcelin Berthelot, 75005 Paris, France

  • *aaram.kim@kcl.ac.uk
  • evgeny.kozik@kcl.ac.uk

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Issue

Vol. 126, Iss. 10 — 12 March 2021

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