Clay weekly context brief for the Condensed Matter category (ISO week 2026-W31). Clay tracks publications from the Condensed Matter feed list. Below are recent items from this category, each with its source and a short description of what the publication covers when one is available in the source feed. Recent publications: 1. Microscopic equivalence of the vortex-entry current and the depairing current in a superconducting thin-film strip Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2607.11518 The vortex-entry current density $J_{\rm v}$ of a superconducting strip is usually defined, within phenomenological Pearl--London theory, as the current density at which the edge barrier for vortex entry disappears. 2. Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2512.07715 We consider the complex SYK model in the double-scaling limit. 3. Generating persistent-current superpositions in Bose-Einstein condensates using dynamic optical potentials Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2601.21144 Precise and flexible manipulation of the motional state of ultracold atoms is a fundamental enabling technology for diverse applications such as quantum sensing and quantum computation. 4. Reversible photo-switching optical functionality in two-dimensional mixed-halide hybrid perovskites Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2607.22476 Ion migration in halide perovskites is often associated with defects, irreversible processes, and structural instability, making them largely impractical for photo-switching applications. 5. Coupling between magnetism and band structure in a 2D semiconductor Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2505.09946 Van der Waals semiconducting magnets exhibit a cornucopia of physical phenomena originating from the interplay of their semiconducting and magnetic properties. 6. Statistical physics of deep learning: Optimal learning of a multi-layer perceptron near interpolation Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2510.24616 For four decades statistical physics has been providing a framework to analyse neural networks. 7. Hybrid Ferromagnet-SNSPDs: Single photon induced order-to-disorder transition in ferromagnets coupled to thin film superconductors Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2606.17177 The development of midwave and longwave infrared single photon detectors is crucial for their emerging applications in spectroscopy, remote sensing, exoplanet detection, and free space quantum communications. 8. BCS states and D-wave condensates in the 2D Hubbard model Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2507.01280 We consider states of BCS form in the 2D Hubbard model which, starting from some arbitrary point in state space in the neighborhood of a Hartree-Fock ground state, are relaxed within that BCS ansatz to local minima of the energy. 9. Structure of the mean-field yrast spectrum of a two-component Bose gas in a ring: role of interaction asymmetry Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2512.16756 The mean-field yrast spectrum of an SU(2)-symmetric two-component Bose gas confined to a ring geometry is known to exhibit an intricate nonanalytic structure that is absent in single-component systems. 10. Mechanisms of Microstructural Evolution and Degradation in Aluminum under High-Damage Irradiation Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2607.22364 Aluminum alloys are widely used in research reactor systems, yet the mechanisms governing irradiation-induced degradation remain poorly understood. 11. Spin-momentum locking of polariton edge states in honeycomb lattices Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2607.03961 Transverse-electric/Transverse-magnetic splitting in dielectric-mirror microcavities introduces an effective spin-orbit coupling for photons. 12. Statistical mechanics of extensive-width Bayesian neural networks near interpolation Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2505.24849 For three decades statistical mechanics has been providing a framework to analyse neural networks. 13. Reaching the intrinsic performance limits of superconducting nanowire single-photon detectors up to 0.1 mm wide Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2601.15971 Superconducting nanowire single-photon detectors (SNSPDs) combine high detection efficiency, low noise, and excellent timing resolution, making them a leading platform for photon-counting applications. 14. Proximity-induced Rashba spin-orbit interaction in BaMnO$_\text{3}|$KTaO$_\text{3}$ heterostructure for antiferromagnetic spintronics Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2506.01861 Antiferromagnetic spintronics, a promising technology for ultra-fast electronic devices, faces several challenges, including the lack of materials simultaneously hosting robust antiferromagnetism and adequate Rashba-like interaction. 15. A low-energy effective Hamiltonian for Landau quasiparticles: I. A unified theory of transport and superfluidity in Fermi liquids Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2511.15938 We introduce a new renormalisation scheme to construct the Landau quasiparticles of Fermi fluids. 16. Magnetic proximity-induced non-relativistic valley polarization Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2607.22360 The magnetic proximity effect in van der Waals heterostructures exerts a significant impact on the properties of adjacent materials. 17. Real and momentum space analysis of topological phases in 2D d-wave altermagnets Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2602.04854 Altermagnetism has recently emerged as a third fundamental branch of magnetism, combining the vanishing net magnetization of antiferromagnets with the high-momentum-dependent spin splitting of ferromagnets. 18. Optimal generalisation and learning transition in extensive-width shallow neural networks near interpolation Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2501.18530 We consider a teacher-student model of supervised learning with a fully-trained two-layer neural network whose width $k$ and input dimension $d$ are large and proportional. 19. Interplay of Anisotropy, Dzyaloshinskii Moriya Interaction and Symmetry breaking Fields in a 2D XY Ferromagnet Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2604.04104 A two dimensional classical ferromagnetic XY model with its bound vortex-antivortex dominated quasi long range ordered phase at low temperatures is a long standing as well as well studied problem of interest in the field of condensed matter. 20. Reduced density matrix approach to one-dimensional ultracold bosonic systems Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2503.15811 The variational determination of the two-boson reduced density matrix is described for a one-dimensional system of $N$ (where $N$ ranges from $2$ to $10^4$) harmonically trapped bosons interacting via contact interaction. Sources in this brief: cond-mat.dis-nn (Disordered Systems and Neural Networks); cond-mat.mes-hall (Mesoscale and Nanoscale Physics); cond-mat.mtrl-sci (Materials Science); cond-mat.quant-gas (Quantum Gases); cond-mat.str-el (Strongly Correlated Electrons); cond-mat.supr-con (Superconductivity). Selected 20 of 72 available items for this weekly brief.