# Equation of State of the 2D Hubbard Model

James LeBlanc, Max-Planck-Institute for the Physics of Complex Systems, Dresden

18.07.2013 at 12:00

Superconductivity and the pseudogap in the high temperature cuprates canbe understood at the qualitative level through the application of phenomenological theories which act as extensions of otherwise standard BCS theory. For reasons of analyticity these phenomenologies often stem from a strong coupling limit, rather than the intermediate coupling region from which the physics of the cuprates is thought to emerge.

In this talk I will outline where these phenomenologies fail and show that their successes in the superconducting phase are restricted by knowledge of the underlying pseudogapped normal phase thought to emerge from correlation physics. To this end, I will present the results of recent numerical simulations which implement continuous-time methods to produce numerically exact result for the equation of state of the two-dimensional Hubbard model.[1] Time allowing I will discuss how the application of cluster-methods provides additional information regarding spin correlations which should allow for a more intuitive physical picture of the correlation

physics in the pseudogap phase.

[1] J.P.F. LeBlanc, Emanuel Gull, arxiv:1305.6798 (2013)

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