Condensed-Matter Physics & Materials Science Seminar

"Is there a simple relation between the critical temperature and the superconducting gap in cuprate superconductors ?"

Presented by Alain Sacuto, Université Paris Diderot, France

Wednesday, March 16, 2011, 1:00 pm — Bldg. 480 Conference Room

We explore the superconducting state of hole-doped cuprates by electronic Raman scattering

as a function of both temperature and doping level.

We observe a loss of coherent quasi-particles in the anti-nodal region (where the

superconducting gap amplitude is maximum). We show that coherent Bogoliubov quasiparticles

develop preferentially around the nodal region (where the gap amplitude vanishes).

Most of the super-current is then carried out by electronic states around the nodes. This

contrasts to conventional superconductors where superconductivity develops uniformly along

the normal-state Fermi surface.

We can then define the fraction of coherent Fermi surface, fc around the nodes for which

quasi-particles are well defined and superconductivity sets in. We find that fc is doping

dependent and we establish that Tc ∝ fc Δmax where Δmax is the maximum amplitude of the dwave

superconducting gap. This new relation differs from the standard BCS theory and gives

us some clues for increasing Tc in the cuprates.

S. Blanc, Y. Gallais, M. Cazayous, M. A. Méasson, A. Sacuto, A. Georges, J. S. Wen, Z. J.

Xu, G. D. Gu, and D. Colson, Phys. Rev. B 82, 144516 (2010).

S. Blanc, Y. Gallais, A. Sacuto, M. Cazayous, M. A. Méasson, G. D. Gu, J. S. Wen, and Z. J.

Xu, Phys. Rev. B 80, 140502 (2009).

Hosted by: Genda Gu

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