We review recent experimental and theoretical work on ultrasmall metallic grains, ie grains
sufficiently small that the conduction electron energy spectrum becomes discrete. The …

We have studied the numerical solutions of Richardson equations of the BCS model in the
limit of large number of energy levels at half-filling, and compare them with the analytic …

We find an integrable generalization of the BCS model with nonuniform Coulomb and
pairing interaction. The Hamiltonian is integrable by construction since it is a functional of …

We review recent experimental and theoretical work on superconductivity in ultrasmall
metallic grains, ie grains sufficiently small that the conduction electron energy spectrum …

We study the static correlation functions of the Richardson pairing model (also known as the
reduced or discrete-state BCS model) in the canonical ensemble. Making use of the …

Monodisperse colloidal lead nanoparticles with diameters ranging from 4.4 to 20 nm are
prepared by a self-limiting growth method. The nanoparticles are monodispersed and …

We combine the BCS self-consistency condition, a semiclassical expansion for the spectral
density and interaction matrix elements to describe analytically how the superconducting …

The reduced BCS Hamiltonian for a metallic grain with a finite number of electrons is
considered. The crossover between the ultrasmall regime, in which the level spacing d is …

We introduce a simple model to calculate the nuclear moment of inertia at finite temperature.
This moment of inertia describes the spin distribution of nuclear levels in the framework of …

We evaluate correlation functions of the BCS model for a finite number of particles. The
integrability of the Hamiltonian relates it with the Gaudin algebra G [sl (2)]. Therefore, a …