Tootfinder

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…