Clay weekly context brief for the Condensed Matter category (ISO week 2026-W32). 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. Molecular Hyperpolarisability as a Screening Descriptor for Second-Order Nonlinear Optics in Ferroelectric Nematic Liquid Crystals Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2607.27986 Ferroelectric nematic liquid crystals combine fluidity with macroscopic polar order. 2. Evolution of the Irradiation Induced Defect Landscape through Dislocation Vacancy Loop Interactions in Tungsten Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2607.27375 Structural materials for fusion reactors undergo neutron irradiation, generating defect populations that govern their mechanical response through irradiation hardening. 3. Universality of Energy-Space Entanglement in Quantum Impurity Models Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2607.27394 Entanglement entropy (EE) is commonly studied using real-space bipartitions. 4. Interpreting learning dynamics of autoencoders: Transient scaling and emerging concepts of the Ising model Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2607.10285 We study how unsupervised autoencoders trained on microscopic spin configurations from the Ising model learn macroscopic, theory-relevant variables underlying the data-generating process. 5. Observation of Moir\'e Time Crystal in Floquet-driven Rydberg Atomic Gases Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2607.27999 A Moir\'e time crystal is a non-equilibrium quantum phase emerging from the coherent interference of two distinct frequencies, at least one being the intrinsic oscillation of a symmetry-broken time crystal. 6. Interface evolution in the two-dimensional quantum Ising model Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2607.26662 We consider the unitary time evolution of an interface in the regime of spontaneously broken symmetry of the two-dimensional quantum Ising model. 7. DC Josephson transport in a three-terminal Yu-Shiba-Rusinov system Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2607.26568 Scanning tunneling microscopy (STM) of magnetic adatoms on superconducting surfaces has established Yu-Shiba-Rusinov (YSR) states as a versatile platform for studying magnetic-superconducting interactions and phase-coherent quantum transport. 8. Interplay of Spin Waves, Crystal-Field Excitations, and Phonons in Multiferroic Ba3HoRu2O9 revealed by Inelastic Neutron Scattering, Crystal-Field Analysis, Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2607.23490 Understanding the microscopic origin of spin-dipole coupling and high-energy excitations in correlated 4d-4f multiferroic oxides is challenging because magnetic, crystal-field, and lattice excitations frequently overlap in energy. 9. Critical Ripples and Dirac Fermions in Crystalline Membranes Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2607.25767 Crystalline membranes hosting Dirac fermions, with graphene as the paradigmatic example, combine two low-energy sectors with sharply different dynamics: nonrelativistic flexural phonons and relativistic-like Dirac quasiparticles. 10. Rheology of dense suspensions of granular spherocylinders by particle-based simulation Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2607.28206 Dense suspensions of rod-shaped granular particles are widespread in nature and manufacturing, where their fluid mechanical properties are often paramount. 11. Machine Learning for Designing Undesignable Metal-Organic Frameworks Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2607.27368 Many crucial processes are too complex for computational modeling, requiring experimentation to identify promising materials. 12. Anomalous Microwave Response in YBCO Resonators beyond the Two-Level-System Model Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2607.27392 We report the microwave response of coplanar-waveguide (CPW) resonators fabricated from $\mathrm{YBa_2Cu_3O_{7-\delta}}$ (YBCO) thin films over temperatures from approximately $70~\mathrm{mK}$ to $40~\mathrm{K}$. 13. Geometric Characteristics of Subproblems in Ising-Machine-Assisted Large Neighborhood Search Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2607.05014 Large-scale quadratic unconstrained binary optimization (QUBO) formulations of constrained combinatorial optimization problems often exceed the input-size limit of present Ising machines or suffer from degraded solution quality as the number of binary variables increases. 14. FFLO transition and quantum criticality in polarized Fermi gases Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2607.28335 We investigate the zero-temperature transition from the polarized normal phase to the FFLO state in a two-dimensional Fermi gas by means of a diagrammatic t-matrix approach. 15. Quantum Brownian transport in a correlated Gaussian force Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2607.26678 We study a classical system-bath model in which a system particle is linearly coupled to a bath of harmonic oscillators. 16. Electronically Inactive Intercalated La$_2$NiO$_4$ Layer in Superconducting La$_5$Ni$_3$O$_{11}$ Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2607.26676 The recent discovery of superconductivity in La$_5$Ni$_3$O$_{11}$ extends the family of superconducting Ruddlesden--Popper nickelates beyond La$_3$Ni$_2$O$_7$. 17. Anisotropic magnons in a layered honeycomb ferromagnet Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2602.19935 Recent experimental and theoretical studies have suggested a possible Dirac magnon gap in the two-dimensional ferromagnetic semiconductor CrSiTe$_3$. 18. Enhancement of Weak Interactions in Phase Transitions in Condensed Matter and Early Universe Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2509.14701 Parity-violating weak interactions produce extremely small energy differences between left- and right-handed chiral systems. 19. Influence of Rotational Diffusion on Macromolecular Self-Assembly Kinetics Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2607.28325 Macromolecular self-assembly underlies a plethora of biological processes and provides a versatile route for fabricating functional soft materials. 20. PEDOT:PSS-Coated Magnetoelastic Sensors for Highly Sensitive Wireless Humidity Sensing Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2607.27399 Magnetoelastic (ME) resonators provide an attractive platform for passive and wireless sensing, particularly for monitoring relative humidity (RH) in sealed or hard-to-access environments. 21. Flat-band formation and chiral superconductivity in driven topological insulators Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2607.27355 We demonstrate that circularly polarized light can be used to Floquet-engineer nearly flat or Mexican-hat like electronic bands on the surface of three-dimensional topological insulators (3D TIs), which under suitable conditions, can support topological superconductivity via purely repulsive Coulomb interactions. 22. Quantum Chaos and Diffusive Transport from Geometric Randomness Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2607.28579 The physics of quantum chaos and diffusive transport is typically studied in settings with microscopic disorder or many-body interactions. 23. Hubbard physics with ultracold polar molecules: on-site interaction energies for shielded molecules Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2607.28533 We explore on-site interaction energies $U$ for pairs of shielded ultracold molecules on the same lattice site. 24. The Role of Odd Diffusivity in Multipoint Statistics of State-Dependent Observables Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2607.26824 Odd diffusivity is a transverse transport coefficient that appears when time-reversal and parity symmetries are broken. 25. Density-wave phases, anisotropic transport, and Planckian dissipation in single crystals of the superconductor La3Ni2O7 Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2607.26990 Pressure-induced superconductivity in bilayer nickelates provides a platform for investigating intertwined roles of charge/spin orders and electric transport in unconventional superconductivity. 26. Direct visualization of gate-tunable flat bands in twisted double bilayer graphene Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2510.19632 The symmetry-broken correlated states in twisted double bilayer graphene (TDBG) can be tuned via several external knobs, including twist angle, displacement field, and carrier density. 27. Topological Classification of Non-Normalizable Vector Fields Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2607.25848 Topological classification of physical vector fields conventionally relies on field normalization and homotopy-based invariants. 28. Thermodynamics and Kinetics of a Three-Arm Star Polymer Translocating through a Nanopore Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2607.28340 In this work, voltage-driven translocation of uniformly charged long linear and three-arm star polymers through narrow nanopores is investigated. 29. Optimization of Epitaxial Mn4N Thin Films Grown by Sputtering for Spintronic Applications Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2607.27419 Ferrimagnetic Mn4N has recently emerged as a promising rare-earth-free platform for spintronic devices due to its low magnetization, high domain wall mobility, and strong anomalous Hall response. 30. Parity-selective spin splitting in coplanar antiferromagnets via bichromatic driving Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2607.27335 Parity is a central characteristic of momentum-dependent spin splitting in antiferromagnets (AFMs). 31. Chaos in reason: How chain-of-thought LLMs can look for an answer Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2607.27805 Large Language Models (LLMs) have achieved remarkable performance across a wide range of tasks, yet their internal dynamics remain poorly understood. 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.other (Other Condensed Matter); cond-mat.quant-gas (Quantum Gases); cond-mat.soft (Soft Condensed Matter); cond-mat.stat-mech (Statistical Mechanics); cond-mat.str-el (Strongly Correlated Electrons); cond-mat.supr-con (Superconductivity). Selected 31 of 362 available items for this weekly brief.