Entropy in the non-Fermi-liquid regime of the doped $2d$ Hubbard model

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 non-zero 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.

arXiv comment6 pages, 4 figures

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• The Weak, the Strong and the Long Correlation Regimes of the Two-Dimensional Hubbard Model at Finite Temperature
• Combinatorial summation of Feynman diagrams: Equation of state of the 2D SU(N) Hubbard model
• Ambipolar doping of a charge-transfer insulator in the Emery model
• Simulating the Fermi-Hubbard model with long-range hopping on a quantum computer
• Evaluating second-order phase transitions with Diagrammatic Monte Carlo: Néel Transition in the doped three-dimensional Hubbard model
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model