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We present scanning tunneling spectroscopic and high-field thermodynamicstudies of hole- and electron-doped (p- and n-type) cuprate superconductors.Our experimental results are consistent with the notion that the ground stateof cuprates is in proximity to a quantum critical point (QCP) that separates apure superconducting (SC) phase from a phase comprised of coexisting SC and acompeting order, and the competing order is likely a spin-density wave (SDW).The effect of applied magnetic field, tunneling current, and disorder on therevelation of competing orders and on the low-energy excitations of thecuprates is discussed.Comment: 10 pages, 5 figures. Accepted for publication in the International  Journal of Modern Physics B. (Correspondence author: Nai-Chang Yeh, e-mail:  ncyeh@caltech.edu

QUASIPARTICLE SPECTROSCOPY AND HIGH-FIELD PHASE DIAGRAMS OF CUPRATE SUPERCONDUCTORS – AN INVESTIGATION OF COMPETING ORDERS AND QUANTUM CRITICALITY