We investigate the scenario of competing order (CO) induced Fermi arcs and pseudogap in cuprate superconductors. For hole-type cuprates, both phenomena as a function of temperature and doping level can be accounted for if the CO vanishes at T* above the superconducting transition T c and the CO wave-vector Q is parallel to the antinodal direction. In contrast, the absence of these phenomena and the non-monotonic d-wave gap in electron-type cuprates may be attributed to T* < T c and a CO wave-vector Q parallel to the nodal direction. PACS: 74.25.Jb, 74.50.+r, 79.60.Bm Keywords: Fermi arc; pseudogap; competing order; cuprate superconductors * Work done at Caltech while on visit from National Taiwan University.† Corresponding author. E-mail address: ncyeh@caltech.eduOne of the most debated issues in high-temperature superconductivity is the physical origin of various unconventional and often non-universal phenomena observed at temperatures above the superconducting transition T c [1][2][3][4][5]. Most of these strongly doping dependent phenomena are only associated with the hole-type cuprates, and are particularly pronounced in the underdoped regime. The specific unconventional phenomena include: opening of a pseudogap (PG) at a temperature T * > T c , below which there is incomplete suppression of the electronic density of states; formation of the "Fermi arcs" [3,[6][7][8] at T c < T < T * , which refers to the occurrence of a truncated Fermi surface in the PG state that is intermediate between the node of the d x 2 -y 2 -wave superconducting state at T < T c and the full Fermi surface of the normal state at T > T * ; marginal Fermi liquid behavior that leads to unconventional temperature dependence in the resistivity and magnetic susceptibility [9]; and anomalous Nernst effect above the superconducting transition [10]. Various theoretical models have been proposed to account for these unconventional quasiparticle excitations in the PG state. One school of thought may be generally referred to as the ``one-gap '' or ``preformed pair'' model [1,11-14], which asserts that the onset of pair formation occurs at T * and that the PG state at T c < T < T * is a disordered pairing state with strong phase fluctuations. The other school of thought considers the possibility of competing orders (CO's) [1,2,9,[15][16][17][18][19] so that one other energy scale V CO besides the superconducting gap Δ SC is responsible for the low-energy quasiparticle excitations.To date a number of experimental findings seem to favor this "two-gap" concept [7,[20][21][22][23], although quantitative analyses of the data based on this scenario were lacking. On the other hand, the preformed-pair model and the CO scenario need not be mutually exclusive. For instance, in the event of CO's coexisting with coherent Cooper pairs in the ground state, there is no reason why they cannot coexist with incoherent preformed pairs in the pseudogap phase slightly above T c .Recently, we have employed a phenomenological approach to quantitatively invest...