Phenomenological Theory for Pseudogap and Superconducting Phases of High-Temperature Superconductors

We present a phenomenological Green's function to characterize the superconducting and pseudogap phases of the cuprates based on a microscopic theory of doped Mott insulators. In this framework, the ``Fermi arc'' and ``superconducting kink'' phenomena in ARPES experiments can be systematically obtained as a function of doping. We demonstrate that the phase-string-induced fractionalization plays a crucial role in leading to this exotic Green's function paradigm.