Clay weekly context brief for the Condensed Matter category (ISO week 2026-W42). 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. Short-Range Vector Spin Glasses: Parisi Hierarchies and Real-Space Ultrametricity Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2610.12441 Replica symmetry breaking (RSB) is the organizing principle of mean-field spin-glass theory, yet whether a continuous Parisi hierarchy can arise in a genuinely short-range system in finite spatial dimension remains unresolved. 2. Millisecond phonon lifetimes in piezoelectric nanomechanical resonators Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2610.10700 Piezoelectric nanomechanical resonators operating at gigahertz frequencies are a promising platform for quantum information processing and precision sensing, but phonon lifetimes have been limited to the microsecond range, widely attributed to the higher intrinsic loss of piezoelectric materials. 3. Hierarchical Relaxation in Large-twist-angle Moire Drives Supermoire Formation Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2610.10817 Supermoire lattices in large-angle twisted bilayers have recently been shown to emerge from periodic arrangements of commensurate stacking motifs, yet the microscopic structural mechanism governing their formation has remained unresolved. 4. Three-dimensional dopant distribution from a single, out-of-focus spectroscopic image Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2610.11053 Increasing miniaturization of nanoscale devices makes determining the three-dimensional distribution of dopants increasingly important. 5. Universal Drude Weights in One-dimensional Repulsive Fermi Gas Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2610.11137 Building on the Bethe ansatz and generalized hydrodynamics, we rigorously establish universal relations between Drude weights governing charge, spin, and energy transport and thermodynamic properties for the one-dimensional repulsive two-component continuum Fermi gas - the paradigmatic integrable Yang-Gaudin model. 6. Autonomous thermodynamic cycles via robotic mobility and sensing Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2610.11667 Thermodynamic cycles are the foundation of energy conversion across natural and engineered systems, transforming heat into useful work. 7. High-resolution mapping of the phase boundary of the honeycomb-lattice Blume--Capel ferromagnet Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2610.11068 We present a high-resolution numerical study of the spin-1 Blume--Capel ferromagnet on the honeycomb lattice ($z=3$). 8. Competing symmetry breaking and topology in quantum spin chains Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2610.10694 We investigate how spontaneous symmetry breaking and symmetry-protected topology compete and cooperate in one-dimensional quantum spin-1/2 systems. 9. High Efficiency in Large Supercurrent Rectification with Superconducting Coil Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2610.11259 Superconducting diodes (SDs) are devices that rectify supercurrent through the difference in the superconducting critical current (Ic) between forward and reverse current directions. 10. Omnisolver: An extensible interface to Ising spin-glass and QUBO solvers: adding a distributed GPU brute-force plugin Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2610.10542 This software update extends Omnisolver with \texttt{omnisolver-bruteforce}, a first-class plugin for exact exhaustive search of QUBO and Ising instances on CUDA-enabled GPUs. 11. Hydrodynamic Anomalous Hall Effect in a Two-Dimensional Dirac Fluid Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2610.10733 In ultraclean conductors, electron-electron collisions can make transport hydrodynamic. 12. Ceramic Materials: From Atomic Bonding and Processing to Microstructure, Functional Properties, and Biomedical Applications Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2610.10874 Ceramic materials are inorganic, predominantly nonmetallic solids whose performance is governed by the interplay among atomic bonding, crystal structure, processing, microstructure, and functional properties. 13. A General Algorithm for Minimal Uncoupled Stress--Strain Calculations of Elastic Constant Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2610.11733 We have developed a general algorithm for constructing the minimum number of strain configurations required to extract second-order elastic constants from first-principles stress-strain calculations without algebraic coupling between the constants targeted for extraction. 14. Nonlinearity management of matter-wave vector solitons of Bose-Einstein condensates in two dimensions Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2610.11536 The evolution of matter-wave vector solitons in two dimensions under nonlinearity management is studied. 15. Elastic polymer networks of exceptional strength by deconcentrating tension Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2610.11837 The strength of a polymer network is orders of magnitude below that of a polymer chain, because the network concentrates high tension in a small fraction of polymer strands. 16. Markov length can diverge in systems whose universal physics is spatially Markovian Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2610.11235 Conditional mutual information (CMI) probes spatial non-Markovianity and plays a central role in a recently developed framework for defining mixed-state phases based on local reversibility. 17. Cooper Instability of a Magnetic Wigner Crystal Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2610.10710 Recent scanning tunneling microscopy has directly imaged electronic crystals in rhombohedral hexalayer graphene, and magnetotransport measurements suggest that superconductivity and charge-density-wave order emerge from a common spin-valley-polarized ferromagnetic metal at nearby carrier densities. 18. Strain-engineered long-distance supercurrent in an altermagnetic CrSb based-Josephson junction Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2610.11341 Altermagnetic materials, characterized by vanishing net magnetization and momentum-dependent spin splitting, provide a unique platform for realizing unconventional superconducting states without the detrimental stray fields. 19. Displacement-Field-Induced Ionization of Defect States in High-Quality hBN Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2610.11297 Encapsulation of two-dimensional (2D) materials with hexagonal boron nitride (hBN) is widely used to fabricate ultraclean van der Waals (vdW) heterostructures for optoelectronic and quantum transport studies. 20. EPR as a probe for the mechanisms of chirality-induced spin selectivity in photoinduced charge transfer Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2610.10839 Several models for chirality-induced spin selectivity (CISS) in charge transfer have been proposed, but rarely compared directly with experiments. 21. Data driven screening of CaCu$_5$-type magnetic structures Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2610.10891 We develop a machine learning assisted workflow for the rapid screening of permanent magnet candidates within the CaCu$_5$ structure family. 22. Integer-Graded Reciprocal Skin Effect from Internal Rotation Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2608.01520 A prominent class of reciprocal non-Hermitian skin effects has a $\Z_{2}$ topological classification, characterized by a parity invariant protected by reciprocity. 23. Constructing Large and Structured Decoherence-Free Subspaces in Hybrid Quantum Systems Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2610.12348 We develop a framework to construct large decoherence-free subspaces with a non-trivial structure. 24. Fluid deformable surfaces with variable thickness - a Surface Shallow-Water-Helfrich model Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2610.11903 Epithelial tissues play a fundamental role in morphogenesis. 25. Mutual Linearity of Complexes in Chemical Reaction Networks Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2610.11970 Exact statements about how a system far from equilibrium responds to changes in its rate constants are scarce beyond linear response, yet they are central to the control of biochemical networks. 26. Gauging Modulated Symmetries: Bond Algebras, Higher-Form Symmetries, and Symmetry-Enriched Topological Order Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2610.10764 We develop a constructive framework for characterizing modulated symmetries and their gauging in $d$-dimensional lattice systems. 27. Experimental signature of transient symmetry breaking in a cavity superconductor Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2511.01339 Transient states of matter far from equilibrium may exhibit physical properties beyond those allowed by the equilibrium-state crystalline symmetries. 28. Quantum annealing of the random transverse-field Ising model in one, two, and three dimensions Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2610.11411 Quantum annealing must be sufficiently slow to prevent defect formation. 29. Reading Altermagnetic Domains with Photon Drag Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2610.10970 Finite photon momentum allows second-order photocurrents in centrosymmetric space groups, where the conventional bulk photovoltaic effect is forbidden. 30. Bond-Switching Reconstruction in Bare Ti3C2 MXene Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2610.11062 MXene properties are typically tuned through composition, surface termination, and intercalation, while the metal-carbon framework topology is considered fixed. 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 351 available items for this weekly brief.