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Various angle-dependent measurements in hole-doped cuprates suggested thatNon-Fermi liquid (NFL) and Fermi-liquid (FL) self-energies coexist in theBrillouin zone. Moreover, it is also found that NFL self-energies survive up tothe overdoped region where the resistivity features a global FL-behavior. Toaddress this problem, here we compute the momentum dependent self-energy from asingle band Hubbard model. The self-energy is calculated self-consistently byusing a momentum-dependent density-fluctuation (MRDF) method. One of our mainresult is that the computed self-energy exhibits a NFL-like frequencydependence only in the antinodal region, and FL-like behavior elsewhere, andretains its analytic form at all momenta and dopings. The dominant source ofNFL self-energy in the antinodal region stems from the self-energy-dressedfluctuations between the itinerant and localized densities as self-consistencyis invoked. We also calculate the DC conductivity by including the fullmomentum dependent self-energy. We find that the resistivity-temperatureexponent n becomes 1 near the optimal doping, while the NFL self-energyoccupies largest momentum-space volume. Surprisingly, even in the NFL statenear the optimal doping, the nodal region contains FL-like self-energies; whilein the under- and over-dopings (n ~ 2), the antinodal region remains NFL-like.These results highlight the non-local correlation physics in cuprates and inother similar intermediately correlated materials, where a direct link betweenthe microscopic single-particle spectral properties and the macroscopictransport behavior can not be well established.

Coexistence of non-Fermi liquid and Fermi liquid self-energies at all dopings in cuprates