Clay weekly context brief for the Condensed Matter category (ISO week 2026-W41). 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. Tunneling Spectroscopy Study of Low Baked Bulk Niobium for Superconducting RF Cavity Applications Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2609.21865 Point-contact tunneling (PCT) spectroscopy was used to probe the local superconducting properties of cavity-grade niobium following surface treatments representative of superconducting radio-frequency (SRF) cavities. 2. Captured weight and boundary leakage bound the error of sample-based spectral functions Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2608.16436 Rayleigh-Ritz on a subspace from sample-based quantum diagonalization yields the spectral function of a probe state; we ask what bounds its error. 3. Conformal defects of general dimensions at finite temperature Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2609.12720 We consider defect conformal field theories (DCFTs) at finite temperature, where a $p$-dimensional conformal defect wraps the thermal circle. 4. A Polarization Hall Effect in Hydrated DNA Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2601.06089 We report magnetic-field- and temperature-dependent transverse-voltage phenomena in hydrated genomic DNA. 5. Scaling equations for Bose-Einstein condensate dynamics across all interaction regimes Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2609.13497 We derive a unified set of scaling equations for Bose-Einstein condensates in time-dependent harmonic traps, connecting the weakly interacting Gaussian regime to the strongly interacting Thomas-Fermi regime. 6. Reaching the Limits of Ground-State Metrology with Many-Body Probes Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2610.03653 We investigate the physical requirements to reach the ultimate limits of ground-state metrology -- i.e., the estimation of an unknown parameter $\theta$ of an $N$-body Hamiltonian via measurements on its ground state -- using many-body probes featuring either short-range or long-range interactions. 7. Propagating edge and interfacial states in corrugated graphene: Robustness and configurability Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2606.21065 Periodically strained graphene provides a versatile platform to realize moir\'e-like electronic structures. 8. Post-selected Criticality in Measurement-induced Phase Transitions Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2603.15744 Information-theoretic phase transitions, such as the measurement-induced phase transition (MIPT), characterize the robustness of quantum dynamics to local monitoring and are naturally formulated in terms of trajectories conditioned on typical measurement outcomes, which are naively accessible only through postselection. 9. Preparation sequence controls oxygen partitioning between boron and lithium on tungsten Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2610.02905 Classical reactive molecular dynamics of boron- and lithium-conditioned tungsten surfaces show that the order in which boron and oxygen are introduced - not the boron inventory - controls surface chemistry. 10. Quantum critical superconductivity in a dense fermi dilute bose mixture close to mechanical instability Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2610.03094 We couple a metal to an uncondensed bose gas with repulsive bose-fermi interactions in two dimensions. 11. Fermionic Genuine Multiparty Entanglement Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2607.20707 Entanglement can show fundamentally different behavior in fermionic systems. 12. Semidefinite optimization as many-body thermodynamics: Boltzmann, Fermi-Dirac, and Bose-Einstein frameworks Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2608.21123 We study the semidefinite programs (SDPs) of quantum information whose variables are density operators, measurement operators, or unbounded positive semidefinite operators, together with their thermodynamic regularizations by the von Neumann, Fermi-Dirac, and Bose-Einstein entropies, which have been associated with Boltzmann, Fermi-Dirac, and Bose-Einstein statistics, respectively. 13. Geometry and Mechanics of Ribbon Gridshells Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2609.38365 Mechanical metamaterials exhibit anomalous properties induced from non-trivial mesoscopic constituents. 14. Thermodynamic Signatures of Phase Separation in Mass Imbalanced Fermi Mixtures: Superfluid Density of States and Quasiparticle Specific Heat in the 163Dy 40K Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2607.21254 Mass imbalance changes not only pairing in a polarized Fermi gas but also the thermodynamic condition under which normal and superfluid components can remain phase separated. 15. Counterdiabatic Quantum Circuits Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2610.02312 Counterdiabatic driving provides a universal route to fast quantum control, but its standard formulation presupposes a Hamiltonian generator. 16. Thermal conductivity tuning of scalable nanopatterned silicon membranes measured with a three-probe method Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2604.14770 Phononic silicon structures have emerged as an integrable and scalable nanosystem for tailoring thermal transport. 17. Glass and jamming transitions in a random organization model Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2603.15519 We study a two-dimensional, off-lattice particle model introduced to describe absorbing phase transitions in driven non-Brownian suspensions. 18. The AI Theorist reveals excitonic structure in $\alpha$-RuCl$_3$ Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2610.02417 Advances in experimental instrumentation and automation generate increasingly rich datasets, but turning experimental observations into microscopic understanding remains a bottleneck in scientific discovery. 19. Binary kagome superconducting candidates hosting topological electronic states Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2610.03003 Topological superconductivity has attracted broad interest because of its connection to Majorana fermions and quantum computation. 20. Majorana-Pauli stabilizer codes and duality webs of fermionic topological phases Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2606.25048 Stabilizer codes provide exact lattice realizations of bosonic topological orders. 21. Dimension Reduction for Quantum Adaptive Agents Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2607.19156 Adaptive agents realise complex reactive behaviours by using a memory of past input stimuli and output actions to guide structured future responses. 22. Quantifying reticulocyte biomechanics in health and disease Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2607.21810 Red blood cell (RBC) populations are mechanically and morphologically heterogeneous, yet how this heterogeneity governs transport, splenic retention and blood rheology in confinement remains unclear. 23. A low-energy effective Hamiltonian for Landau quasiparticles: II. Application to the contact Fermi gas Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2607.07041 This article follows up on arxiv:2511.15938, in which we developed an Hamiltonian renormalization scheme to construct a quantized theory of Fermi liquids. 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 23 of 122 available items for this weekly brief.