Unparticle mediated superconductivity

TL;DR

This paper proposes a novel mechanism for superconductivity mediated by unparticles, deriving a gap equation that reveals unique features and potential experimental implications beyond traditional BCS theory.

Contribution

It introduces the concept of unparticle mediated superconductivity and derives the corresponding gap equation, expanding the theoretical landscape of pairing mechanisms.

Findings

Superconductivity can be mediated by unparticles interacting via a generalized Coulomb interaction.

The gap equation's dependence on unparticle parameters reveals richer solution sets than BCS.

Unconventional features include insensitivity of pairing to Fermi energy density for certain unparticle dimensions.

Abstract

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.