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J. L. Thompson

Publications and source records attributed to J. L. Thompson.

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Temperature dependence and limiting mechanisms of the upper critical field of FeSe thin films

We use magnetoresistance measurements at high magnetic field (B \leq 65 T) and low temperature (T \geq 500 mK) to gain fresh insights into the behavior of the upper critical field, Hc2, in superconducting ultrathin FeSe films of varying degrees of disorder, grown by molecular beam epitaxy on SrTiO3. Measurements of Hc2 across samples with a widely varying superconducting critical temperature (1.2 K \leq Tc \leq 21 K) generically show similar qualitative temperature dependence. We analyze the temperature dependence of Hc2 in the context of Werthamer-Helfand-Hohenberg (WHH) theory. The analysis yields parameters that indicate a strong Pauli paramagnetic pair-breaking mechanism which is also reflected by pseudo-isotropic superconductivity in the limit of zero temperature. In the lower Tc samples, we observe a spin-orbit scattering driven enhancement of Hc2 above the strongly-coupled Pauli paramagnetic limit. We also observe clear deviations from WHH theory at low temperature, regardless of Tc. We attribute this to the multi-band superconductivity of FeSe and possibly to the emergence of a low temperature, high field superconducting phase.

cond-mat.supr-con

On the generic curve of genus 3

We study genus $g$ coverings of full moduli dimension of degree $d=[\frac {g+3} 2]$. There is a homomorphism between the corresponding Hurwitz space $\H$ of such covers to the moduli space $\M_g$ of genus $g$ curves. In the case $g=3$, using the signature of such covering we provide an equation for the generic ternary quartic. Further, we discuss the degenerate subloci of the corresponding Hurwitz space of such covers from the computational group theory viewpoint. In the last section, we show that one of these degenerate loci corresponds to the locus of curves with automorphism group $C_3$. We give necessary conditions in terms of covariants of ternary quartics for a genus 3 curve to belong to this locus.

math.AG