Fermi-surface Reconstruction in the Repulsive Fermi-Hubbard Model

One of the fundamental questions about the high temperature cuprate superconductors is the size of the Fermi surface underlying the superconducting state. By analyzing the single particle spectral function for the Fermi Hubbard model as a function of repulsion U and chemical potential μ, we find that the Fermi surface reconstructs from a large Fermi surface enclosing (1+p) holes, matching the Luttinger volume as expected in a Fermi liquid, to a small Fermi surface enclosing only p holes, thereby transitioning into a non-Fermi liquid FL* phase, as the Mott insulator at half filling is approached. We obtain the Fermi surface contour by combining results of: (a) momentum distribution function n_k = 1/2, (b) spectral weight A_k(ω = 0), and (c) retarded Green's function, G_k^ret(E) = 0, calculated using determinantal quantum Monte Carlo and analytic continuation methods. We compare our numerical results with experiments on Hall measurements.