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Realization of a Kondo Insulator in a Multilayer Moire Superlattice
Qiran Wu, Jingyuan Cui, Ang-Kun Wu, Yuze Meng, Dongxue Chen, Li Yan, Lei Ma, Takashi Taniguchi, Kenji Watanabe, Shi-Zeng Lin, Su-Fei Shi, Yong-Tao Cui
https://arxiv.org/abs/2507.01329

Realization of a Kondo Insulator in a Multilayer Moire Superlattice
Kondo insulators are a paradigmatic strongly correlated electron system, arising from the hybridization between itinerary conduction electrons and localized magnetic moments, which opens a gap in the band of conduction electrons. Traditionally, the known Kondo insulators are found in materials with f-electrons. Recent developments in two-dimensional (2D) moire systems provide a new approach to generate flat bands with strong electron correlation, which host localized moments at half filling. In…

IMEX-RB: a self-adaptive IMEX time integration scheme exploiting the RB method
Micol Bassanini, Simone Deparis, Francesco Sala, Riccardo Tenderini
https://arxiv.org/abs/2506.16470

IMEX-RB: a self-adaptive IMEX time integration scheme exploiting the RB method
In this work, we introduce a self-adaptive implicit-explicit (IMEX) time integration scheme, named IMEX-RB, for the numerical integration of systems of ordinary differential equations (ODEs), arising from spatial discretizations of partial differential equations (PDEs) by finite difference methods. Leveraging the Reduced Basis (RB) method, at each timestep we project the high-fidelity problem onto a suitable low-dimensional subspace and integrate its dynamics implicitly. Following the IMEX para…

Special Cases of the Shafarevich Conjecture for Complete Intersections in Abelian Varieties
Frank Lu
https://arxiv.org/abs/2506.14935 https://

Special Cases of the Shafarevich Conjecture for Complete Intersections in Abelian Varieties
In this paper, we prove the Shafarevich conjecture for certain complete intersections of hypersurfaces in abelian varieties defined over a number field $K$ using the Lawrence-Venkatesh method. The main new inputs we need are computation of certain Euler characteristics of these complete intersections and a big monodromy statement for the variation of Hodge structure arising from the middle cohomology of a family of such complete intersections. Following \cite{ls25}, we prove the latter by relat…