Clay weekly context brief for the Condensed Matter category (ISO week 2026-W28). 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. The pseudogap in high-$T_c$ superconductors from SU(2) gauge symmetry and dynamic correlation effects Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2606.02838 We consider the spectral properties of the two-dimensional Hubbard model, describing the electronic properties of high-$T_c$ compounds, within the SU(2) gauge theory, which assumes the separation of electronic degrees of freedom into those of spinon and chargon subsystems. 2. Quantum critical properties of non-Hermitian XY models with magnetic field Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2606.07275 The characterization of the quantum critical properties of genuine non-Hermitian many-body systems remains ambiguous as neither the state considered nor the definition of expectation values is unique. 3. Topology of pulsating active matter: Defect asymmetry controls emergent motility Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2605.25996 In pulsating active matter, topological defects are motile despite the absence of any macroscopic flows and microscopic self-propulsion. 4. Dissipative Vortex Binaries in Compact Fluid Domains with Geometric Corrections Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2604.23857 We study a dissipative extension of vortex-binary motion in a doubly periodic fluid domain. 5. Controlling Waiting Time Statistics in Monitored Collective Spins: Mitigating Detector's Resolution Barrier in Measurement-Induced Phase Transitions Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2607.01332 In collective dissipative spin systems, the postselection barrier can be partially mitigated; however, a further obstacle may be posed by the finite temporal resolution of detectors. 6. Best Practices for First-Principles Modeling of Amorphous Oxide Semiconductors: A Statistical Framework and Application to Zn-Sn-O Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2607.08667 Ternary and quaternary amorphous oxide semiconductors have many properties that make them promising candidates for use in electronic applications like display, memory, and back end of line logic. 7. 2D Transport in an in-plane magnetic field Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2607.06561 A parallel in-plane magnetic field could, in principle, distinguish between two competing physical scenarios for the experimentally observed density-tuned 2D metal-insulator transition (where decreasing the carrier density leads to a crossover from an effective metal to an effective insulator): Wigner crystallization or Anderson localization. 8. Anomaly and symmetry-charge flow in mixed states Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2604.24872 The $(1+1)$-dimensional chiral anomaly is a paradigmatic exact result in quantum field theory, traditionally formulated for zero-temperature pure states where it arises from spectral flow induced by external gauge fields and captures universal ground-state properties. 9. Large earthquakes follow highly unequal ones Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2601.08356 It was conjectured for a long time that the tectonic plates are in a self-organised state of criticality and that the Gutenberg-Richter law is a manifestation of that. 10. Machine learning evaluation of structural descriptors for supercooled water Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2605.00415 The anomalous behavior of liquid water is widely associated with a liquid-liquid phase transition between high- and low-density states in the supercooled regime. 11. Experimental preparation of $W$ states through frustration on a programmable quantum simulator Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2510.17974 $W$ states are a central class of multipartite entangled states with applications in quantum information processing, yet their scalable and deterministic preparation remains challenging. 12. Crystalline metal flakes: Platforms for advanced plasmonics and hybrid 2D material architectures Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2604.22988 Crystalline noble metal flakes are emerging as versatile platforms in nanophotonics, enabling a broad range of optical phenomena and applications. 13. Physical aging of glasses of an organic semiconductor Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2607.08653 All glasses, including organic semiconductor glasses, are non-equilibrium materials whose properties will change with time. 14. Ising surface defects can get dirty Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2605.22628 Real critical systems, such as uniaxial ferromagnets in the 3d Ising universality class, are constrained by boundaries and subject to random couplings. 15. Irreducible Geometry of Higher-Order Correlator Families Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2607.08761 Programmable quantum simulators are beginning to access correlators of increasing complexity, ranging from four-point out-of-time-ordered correlators to even higher-order many-body correlators. 16. Analytic framework for self-dual criticality in $\mathbb{Z}_k$ gauge theory with matter Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2407.07941 The deconfined phase of 2+1D $\mathbb{Z}_k$ gauge theory exhibits topological order, with $e$ and $m$ anyons that have a $2\pi/k$ braiding phase. 17. Shear-driven mixing of segregated granular materials Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2604.24702 As granular materials flow and settle, interactions among particles of different sizes or properties drive mixing and segregation, producing dynamics that shape systems ranging from silos to asteroids. 18. Preparation of quasi-two-dimensional Bose mixture of ultracold $^{23}$Na and $^{87}$Rb atoms Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2604.18072 Quantum gases confined in reduced dimensions have enabled the observation of many exotic quantum phenomena. 19. Enhanced detection of circularly polarized photons with topological materials Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2602.00251 Topological insulators (TI) are highly attractive platforms for next-generation optoelectronic and photonic devices. 20. Harnessing orbital Hall effect for energy-efficient magnetization switching in room-temperature van der Waals ferromagnet Fe3GaTe2 Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2607.08618 2D van der Waals (vdW) magnets provide new opportunities for spin-orbit torque magnetoresistive random-access memory (SOT-MRAM) due to their unique properties. 21. Numerical Experiments with Parameter Setting of Trotterized Quantum Phase Estimation for Quantum Hamiltonian Ground State Computation Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2602.22349 We numerically investigate quantum circuit elementary-gate level instantiations of the standard Quantum Phase Estimation (QPE) algorithm for the task of computing the ground-state energy of a quantum magnet; the disordered fully-connected quantum Heisenberg spin glass model. Sources in this brief: cond-mat.dis-nn (Disordered Systems and Neural Networks); 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). Selected 21 of 99 available items for this weekly brief.