Possible competing order-induced Fermi arcs and self-consistent gap evolution with temperature in cuprate superconductors

We explore, via numerical simulations, the possibility that competing orders (CO's) induce both the pseudogap (PG) and Fermi arc phenomena in cuprate superconductors. We find that both phenomena occur in hole-type cuprates if (1) a CO arises below a PG temperature T*, which is greater than the superconducting transition temperature, T$_{C}$, and (2) the periodic wave-vector of the CO, \textbf{Q}, is parallel to the Cu-O bonding direction. In contrast, neither phenomena is observed in electron-type cuprates because T*$<$T$_{C}$, but we find evidence that the CO scenario may explain the so-called non-monotonic d-wave gap observed in electron-type cuprates for T$<$T$_{C}$ if \textbf{Q }is parallel to the nodal direction, as in the case of commensurate spin density waves. Finally, we consider a candidate model for self-consistently calculating the superconducting and CO energy gaps as a function of temperature and doping in the hole-type cuprates, as well as estimating the value of T*. Ref.: B.-L. Yu, \textit{et.al. }[arxiv:0804.4028].