Unparticle mediated superconductivity

Understand

In this work we introduce the possibility of unparticle mediated superconductivity.

• We discuss a theoretical scenario where it can emerge and show that a superconducting state is allowed by deriving and solving the gap equation for $s$-wave pairing of electrons interacting through the unparticle generalization of the Coulomb interaction.
• The dependence of the gap equation on the unparticle energy scale $\Lambda_{U}$ and the unparticle scaling dimension $d_{U}$ enables us to find a richer set of solutions compared to those of the conventional BCS paradigm.
• We discuss unconventional features within this construction, including the resulting insensitivity of pairing to the density of states at the Fermi energy for $d_{U}=3/2$ of the superconducting gap and suggest possible experimental scenarios for this mechanism.