Gossamer Superconductivity, New Paradigm?

Abstract

We shall review our recent works on d-wave density wave (dDW) and gossamer superconductivity (i.e. d-wave superconductivity in the presence of dDW) in high-T${}_c$ cuprates and CeCoIn${}_5$. a) We show that both the giant Nernst effect and the angle dependent magnetoresistance (ADMR) in the pseudogap phases of the cuprates and CeCoIn${}_5$ are manifestations of dDW. b) The phase diagram of high-T${}_c$ cuprates is understood in terms of mean field theory, which includes two order parameters ${\Delta }_1$ and ${\Delta }_2$, where one order parameter is from dDW and the other from d-wave superconductivity. c) In the optimally to the overdoped region we find the spatially periodic dDW, an analogue of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state, becomes more stable. d) In the underdoped region where ${\Delta }_2/{\Delta }_1\ll 1$ the Uemera relation is obtained within the present model. We speculate that the gossamer superconductivity is at the heart of high-T${}_c$ cuprate superconductors, the heavy-fermion superconductor CeCoIn${}_5$ and the organic superconductors $\kappa$- (ET)${}_2$Cu(NCS)${}_2$ and (TMTSF)${}_2$PF${}_6$.

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Cited by in corpus (2)

• Bottom-up approach to high-temperature superconductivity
• Infrared and electronic Raman response of coexisting d-wave density wave and d-wave superconductivity