Tootfinder

As usual we watched the "Stoertebekker" stage play at Ralswiek on Rügen Island. The stage setups and wardrobes were as awesome as always. They really try to improve on that every year and come up with clever mechanisms to transform the building for the various acts of the play. The script this year left room for desire ;) Nevertheless a happing worth attending
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Strain-tuning for superconductivity in La$_3$Ni$_2$O$_7$ thin films
Motoki Osada, Chieko Terakura, Akiko Kikkawa, Masamichi Nakajima, Hsiao-Yi Chen, Yusuke Nomura, Yoshinori Tokura, Atsushi Tsukazaki
https://arxiv.org/abs/2506.15319

Strain-tuning for superconductivity in La$_3$Ni$_2$O$_7$ thin films
The recent discovery of high-transition temperature ($T_\mathrm{c}$) superconductivity in pressurized La$_{3}$Ni$_{2}$O$_{7}$ bulk crystals has attracted keen attention due to its characteristic energy diagram of $e_{g}$ orbitals, containing nearly half-filled $d_{3z^2 - r^2}$ and quarter-filled $d_{x^2 - y^2}$ orbitals. This finding provides valuable insights into the orbital contributions and interlayer interactions in double NiO$_{6}$ octahedra, offering opportunities to control the electron…

A degree-counting formula for a Keller-Segel equation on a surface with boundary
Mohameden Ahmedou, Zhengni Hu, Heming Wang
https://arxiv.org/abs/2506.12783

A degree-counting formula for a Keller-Segel equation on a surface with boundary
In this paper, we consider the following Keller-Segel equation on a compact Riemann surface $(Σ, g)$ with smooth boundary $\partialΣ$: \[ -Δ_g u = ρ\Big(\frac{V e^u}{\int_Σ V e^u \mathrm{d} v_g} - \frac{1}{|Σ|_g}\Big) \text{ in } Σ, \quad \text{ with } \partial_{ν_g} u = 0 \text{ on } \partial Σ, \] where $V$ is a smooth positive function on $Σ$ and $ρ> 0$ is a parameter. We perform a refined blow-up analysis of bubbling solutions and establish sharper a priori esti…