Superconducting Upper Critical Field Near a 2D Van Hove Singularity

Abstract

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.

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

References in corpus (1)

• Upper Critical Field in a Spin-Charge Separated Superconductor

Cited by in corpus (4)

• A Survey of the Van Hove Scenario for High-T_c Superconductivity With Special Emphasis on Pseudogaps and Striped Phases
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• Upper Critical Field of Sr${}_2$RuO${}_4$ under In-Plane Uniaxial Pressure
• Effects of van-Hove singularities on the upper critical field