Superconducting Upper Critical Field Near a 2D Van Hove Singularity

Details Superconducting Upper Critical Field Near a 2D Van Hove Singularity Superconducting Upper Critical Field Near a 2D Van Hove Singularity

1995-07-31

arxiv.org/abs/cond-mat/9507139v1

Physics

Condensed Matter

4 pages, Latex 2.09 (revtex), 3 postscript figures appended (tar-compressed and uuencoded using `uufiles')

Scientific paper

10.1016/0038-1098(96)00183-4

The superconducting upper critical field $H_{c2}(T)$ of a two dimensional BCS superconductor is calculated in the vicinity of a van-Hove singularity. The zero temperature upper critical field is strongly enhanced at weak coupling when the Fermi contour coincides with van-Hove points, scaling as $H_{c2}(0) \propto T_c^{\sqrt{2}}$ compared to the usual result $H_{c2}(0) \propto T_c^{2}$. The result can be interpreted in terms of the non-Fermi liquid decay of normal state pair correlations in the vicinity of a van-Hove point.

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