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The entire temperature dependence of the upper critical field $H_{\rm c2}$ inthe $\beta$-pyrochlore KOs$_2$O$_6$ is obtained from high-field resistivity andmagnetic measurements. Both techniques identically give $H_{\rm c2}(T \simeq 0{\rm K})$ not only surprisingly high ($\sim 33$ T), but also the approach to itunusually temperature-\emph{linear} all the way below $T_{\rm c}$ (= 9.6 K). Weshow that, while $H_{\rm c2}(0)$ exceeds a simple spin-singlet paramagneticlimit $H_{\rm P}$, it is well below an $H_{\rm P}$ enhanced due to the missingspatial inversion symmetry reported recently in KOs$_2$O$_6$, ensuring that thepair-breaking here is executed by orbital degrees. {\it Ab initio} calculationsof orbital $H_{\rm c2}$ show that the unusual temperature dependence isreproduced if dominant s-wave superconductivity resides on the smaller closedFermi surfaces.Comment: 5 pages, 3 figures. Version accepted for publication as a Rapid  Communication in Phys. Rev.

physical review. b, condensed matter and materials physics

Uncommonly high upper critical field of the pyrochlore superconductor<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">K</mml:mi><mml:msub><mml:mi mathvariant="normal">Os</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>6</mml:mn></mml:msub></mml:mrow></mml:math>below the enhanced paramagnetic limit

Uncommonly high upper critical field of the pyrochlore superconductorKOs2O6below the enhanced paramagnetic limit