Clay weekly context brief for the Condensed Matter category (ISO week 2026-W44). 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. Charge-monitored Luttinger liquid Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2610.30271 We discuss phases of interacting fermionic Luttinger liquids without particle number conservation, such as those in proximity to a superconductor, subjected to weak continuous measurements of their particle density, in the regime where the bosonization approach is applicable. 2. Kinetic-inductance Parametric Amplification in Superconducting Hybrid Magnonics Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2610.30322 Parametric amplification enables sensitive microwave detection and signal processing by amplifying weak signals with minimal added noise. 3. Domain walls in $R3c$-structured NaNbO$_3$ Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2610.30318 In this work, we undertake a systematic first-principles study of structural domain walls in the low-temperature rhombohedral $R3c$ phase of perovskite oxide NaNbO$_3$. 4. Nonlinear Canonical Transformations for Studying Spin-1/2 Hamiltonians Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2610.30403 Strongly correlated quantum systems, including frustrated spin lattices, remain challenging for conventional coupled-cluster methods because their ground states often exhibit strong multireference character and symmetry breaking. 5. Realization of a Superleak in a Quantum Gas Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2610.31185 Ultracold quantum gases offer a controllable and microscopically accessible platform for understanding and engineering superfluidity. 6. Shear-induced mechanical yielding controls cluster morphology and dynamics in aggregating non-Brownian suspensions Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2610.30330 In sheared aggregating suspensions, flow drives both the formation and breakage of particle clusters, whose dynamic evolution influences transport and rheological properties. 7. Resonant-pair energy return beyond the early Green-Kubo plateau in a quartic chain Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2610.30172 Distinguishing rapid local energy exchange from sustained transport matters when thermal conductivity is inferred from finite simulations. 8. Cluster property and entanglement in the superconducting state Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2610.30581 We present the conditions for satisfying the cluster property in the superconducting state. 9. Electronic crystals and quasicrystals in semiconductor quantum wells: an AI-powered discovery Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2512.10909 The homogeneous electron gas is a cornerstone of quantum condensed matter physics, providing the foundation for developing density functional theory and understanding electronic phases in semiconductors. 10. Non-adiabatic Optimisation via Localisation-Delocalisation Transitions Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2610.30301 The promise of efficiently solving classical optimisation problems on quantum computers is tantalizing. 11. Nonlinear and Chaotic Dynamics of Two Dipolar-Coupled Anisotropic Spins under Periodic Excitation Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2610.30414 We investigate the non-linear magnetization dynamics of two identical anisotropic macrospins coupled by dipolar interaction and subjected to periodic transverse excitation. 12. Microstructural Generative Inverse Models for Additive Manufacturing Digital Twins Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2610.30404 Metal additive manufacturing (AM) offers substantial advantages to the fabrication of complex structural components, but its widespread adoption is slowed due to complexities in the process-structure-property relations which is the cause for uncertainty and drives risk. 13. When can phonon modes be trapped by arbitrarily weak local defects? Rigorous sufficient conditions in a monatomic lattice Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2511.03580 Although many studies have shown that localized defects in vibrational lattices can trap localized phonon modes for particular geometries, there has been no general proof of localization for arbitrary localized defects of arbitrarily weak strength. 14. Breathing and quadrupole modes in squeezed Bose-Bose liquid drops Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2610.31581 We investigate the lowest excitation modes of binary $^{39}$K ultradilute droplets confined harmonically in one direction, which reduces the critical number of particles needed to sustain a self-bound state. 15. Emergent Entropic Forces Drive Inverse and Reentrant Phase Transitions in Condensates of Intrinsically Disordered Proteins Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2610.30627 We present a phenomenological, mean-field model for condensates of intrinsically disordered proteins that describes inverse phase transitions and qualitatively predicts reentrant phase behavior as a function of salt concentration. 16. Foresight-dependent entropy production in stochastic two-agent dynamics Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2610.30189 Nonreciprocal interactions can break detailed balance by sustaining stationary probability currents. 17. Coulomb-Driven Electronic Textures in Lightly Hole-Doped Cuprates Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2610.30766 Motivated by recent experiments on Ca$_2$CuO$_2$Cl$_2$, we present a comprehensive study of the interplay between dopants and localized Zhang-Rice singlets in lightly hole-doped cuprates. 18. Topological and Trivial Valence-Bond Orders in Higher-Spin Kitaev Models Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2511.07415 We investigate the quantum phases of higher-spin Kitaev models using tensor network methods. 19. Symmetry-Preserving Local Representation for Short-Range Interaction in Complex Materials Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2610.30726 Modeling short-range interactions in highly disordered materials remains challenging due to the immense configuration space and the disruption of local symmetry in truncated theoretical models. 20. Spin polarization in a chiral ladder: elastic and inelastic environments Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2610.30419 We study how the transport window and environmental reinjection determine the spin polarization transmitted through a minimal two-leg chiral ladder. 21. Design of Nuclear and Magnetic Scattering Length Density Profiles Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2610.30416 The scattering length density (SLD) profile of a sample can be deliberately designed to enhance the information of interest obtained from neutron reflectometry. 22. Critical timescales for chiral state conversion and irreversibility Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2604.01918 Non-Hermitian systems driven along slow parametric loops undergo non-adiabatic transitions whose outcome depends sensitively on the driving speed, yet no explicit formula has been available for the critical timescale $T_{\mathrm{cr}}$ at which these transitions develop. 23. Discrete time liquids Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2610.30266 Discrete time crystals exhibit robust subharmonic oscillations, spontaneously breaking the discrete time-translation symmetry of a periodic drive. 24. Strain Waves Generate Compression and Trigger Buckling in Active Polymers Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2610.30749 Chemical reactions can sustain polymer motion without necessarily generating the compression required for buckling. 25. Hierarchical Reduction of Invariant Subspaces: From Fragmentation to Many-Body Scars Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2610.30597 We investigate a hierarchy of invariant Hilbert-space structures connecting Hilbert-space fragmentation, partial solvability, and quantum many-body scars. 26. Contact Renormalization of One-Mode Electron Correlation: Validation in Four- and Ten-Electron Systems Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2610.31031 A stationary many-electron eigenstate has one dynamical phase although its internal response can be strongly multimode. 27. Resonating-valence-bond superconductor from small Fermi surface in twisted bilayer graphene Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2510.26801 Understanding the mechanism of superconductivity in twisted bilayer graphene (TBG) is a central challenge in correlated moir\'e materials. 28. Localization Contrast As a Fundamental Limit of Radiative Quantum Efficiency Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2610.30741 Disorder can localize valence- and conduction-band states to different degrees, yet whether such localization contrast has observable consequences remains poorly understood. 29. Orientation-selective microwave heating of laser-graphitized diamond at 2.45 GHz Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2610.30453 Pristine diamond couples negligibly to a 2.45 GHz field. 30. Suppression of Grain Boundary Nitrogen Degradation by Boron in Superalloys Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2610.30451 Superalloys enable the hottest sections of jet engines to operate at high temperatures, but environmentally assisted degradation limits their lifetime. 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 30 of 342 available items for this weekly brief.