Charge and pair density waves in the one band Hubbard model with cluster dynamical mean-field theory

Charge-density-waves have long been established as an important component of the phase diagram of high-T_c superconducting cuprates. Various experimental and theoretical studies have characterized the CDWs, although there is still a lack of consensus on the origin of such states. However, there is strong evidence that the CDW order competes with superconductivity. We use cluster dynamical mean-field theory on the one-band Hubbard model at zero temperature with an exact diagonalization solver to study the normal and the superconducting phases. We observe a period-four CDW on doping the Mott insulator, originating only from local interactions. This state also coexists with superconductivity in a range of doping, in which a pair-density-wave is also observed. The dependence on U of the CDW and superconducting states indicates a competing relationship rather than a causal one.