Quantum Criticality and Incipient Phase Separation in the Thermodynamic Properties of the Hubbard Model

Details Quantum Criticality and Incipient Phase Separation in the Thermodynamic Properties of the Hubbard Model Quantum Criticality and Incipient Phase Separation in the Thermodynamic Properties of the Hubbard Model

2010-09-14

arxiv.org/abs/1009.2563v1

Philosophical Transactions of the Royal Society A, 369, 1670 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 9 figures

Scientific paper

Transport measurements on the cuprates suggest the presence of a quantum critical point hiding underneath the superconducting dome near optimal hole doping. We provide numerical evidence in support of this scenario via a dynamical cluster quantum Monte Carlo study of the extended two-dimensional Hubbard model. Single particle quantities, such as the spectral function, the quasiparticle weight and the entropy, display a crossover between two distinct ground states: a Fermi liquid at low filling and a non-Fermi liquid with a pseudogap at high filling. Both states are found to cross over to a marginal Fermi-liquid state at higher temperatures. For finite next-nearest-neighbor hopping t' we find a classical critical point at temperature T_c. This classical critical point is found to be associated with a phase separation transition between a compressible Mott gas and an incompressible Mott liquid corresponding to the Fermi liquid and the pseudogap state, respectively. Since the critical temperature T_c extrapolates to zero as t' vanishes, we conclude that a quantum critical point connects the Fermi-liquid to the pseudogap region, and that the marginal-Fermi-liquid behavior in its vicinity is the analogous of the supercritical region in the liquid-gas transition.

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