New World of Gossamer Superconductivity

TL;DR

This paper discusses the nature of high-temperature cuprate superconductivity, proposing that it coexists with a d-wave density wave phase and can be described by mean field theories similar to BCS and Fermi liquid theories.

Contribution

It introduces the concept of gossamer superconductivity coexisting with a d-wave density wave in cuprates, supported by mean field theory.

Findings

High-Tc cuprates exhibit d-wave density wave order.

Superconductivity persists in the presence of dDW, termed gossamer superconductivity.

Mean field theory effectively describes these phenomena.

Abstract

Since the discovery of the high-T$_{c}$ cuprate superconductor La$_{2-x}$BaCuO$_{4}$ in 1986 by Bednorz and M\"{u}ller, controversy regarding the nature or origin of this remarkable superconductivity has continued. However, d-wave superconductivity in the hole-doped cuprates, arising due to the anti-paramagnon exchange, was established around 1994. More recently we have shown that the mean field theory, like the BCS theory of superconductivity and Landau's Fermi liquid theory are adequate to describe the cuprates. The keys for this development are the facts that a)the pseudogap phase is d-wave density wave (dDW) and that the high-T$_{c}$ cuprate superconductivity is gossamer (i.e. it exists in the presence of dDW).