Unparticle mediated superconductivity

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.

13 pages, 2 figures, published version

References in corpus (13)

• Unparticle Physics
• Another Odd Thing About Unparticle Physics
• Are non-Fermi-liquids stable to Cooper pairing?
• Phase competition in trisected superconducting dome
• Collider signals in unparticle physics
• Deconstruction of Unparticles
• Energetics of superconductivity in the two dimensional Hubbard model
• Absence of Luttinger's Theorem due to Zeros in the Single-Particle Green Function
• Scalar modifications to gravity from unparticle effects may be testable
• Unparticle as a field with continuously distributed mass
• An Unparticle Example in 2D
• Un-particle Effective Action
• Unparticle Realization Through Continuous Mass Scale Invariant Theories

Cited by in corpus (1)

• Power-law liquid in cuprate superconductors from fermionic unparticles