Non-fermi liquid and pairing in electron-doped cuprates

We study the normal state and pairing instability in electron-doped cuprates in a model with long-ranged antiferromagnetic spin fluctuations close to an antiferromagnetic quantum-critical point. We show that the fermionic self-energy has a non-Fermi-liquid form leading to peculiar frequency dependencies of the conductivity and the Raman response. We solve the pairing problem and demonstrate that T-c is determined by the curvature of the Fermi surface, and the pairing gap Delta(k,omega) is strongly nonmonotonic along the Fermi surface. The normal state frequency dependencies, the value of T-c similar to 10 K, and the k dependence of the gap agree with the experiment.