Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-04-18
Phys. Rev. B 82, 045104 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
12 pages, 15 figures, minor changes from previous version in response to referee reports
Scientific paper
10.1103/PhysRevB.82.045104
Cluster dynamical mean field and maximum entropy analytical continuation methods are used to obtain theoretical estimates for the many-body density of states, electron self-energy, in-plane and c-axis optical conductivity and the $B_{1g}$ and $B_{2g}$ Raman scattering spectra of the two dimensional square lattice Hubbard model at intermediate interaction strengths and carrier concentrations near half filling. The calculations are based on an 8-site cluster approximation which gives access to both the zone-diagonal and zone-face portions of the Fermi surface. At low dopings the zone-face regions exhibit a 'pseudogap', a suppression of the many-body density of states for energies near the Fermi surface. The pseudogap magnitude is largest near half filling and decreases smoothly with doping, but as temperature is increased the gap fills in rather than closes. The calculated response functions bear a strong qualitative resemblance to data taken in the pseudogap regime of high-$T_c$ cuprates, strongly suggesting that the intermediate coupling Hubbard model accounts for much of the exotic behavior observed in high-$T_c$ materials.
Gull Emanuel
Lin Nan
Millis Andrew. J.
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