Document Type


Publication Date

October 2009


We study the thermodynamics of the two-dimensional Hubbard model within the dynamical cluster approximation. We use continuous time quantum Monte Carlo as a cluster solver to avoid the systematic error which complicates the calculation of the entropy and potential energy (double occupancy). We find that at a critical filling, there is a pronounced peak in the entropy divided by temperature, S/T, and in the normalized double occupancy as a function of doping. At this filling, we find that specific heat divided by temperature, C/T, increases strongly with decreasing temperature and kinetic and potential energies vary like T2 ln T. These are all characteristics of quantum critical behavior.


This article originally appeared in Physical Review B, volume 80, issue 14, 2009, published by the American Physical Society. ©2009 American Physical Society. The article can also be found online at this link.
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