Clay weekly context brief for the Condensed Matter category (ISO week 2026-W34). 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. Superconductivity in the $t$-$t'$ Hubbard Model from Symmetry-Preserving Neural-Network Quantum States Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2608.12465 Despite its fundamental importance in the theory of strongly correlated electrons, the nature of the ground state of the two-dimensional doped Hubbard model remains intensely debated. 2. Is the Aharonov-Casher phase geometrical or dynamical? Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2608.12427 We consider two two-dimensional (2D) electronic systems in the presence of a perpendicular homogeneous electric field that generates a Rashba spin-orbit interaction (RSOI): a system of non-interacting electrons in a 2D conductor, modeled using the 2D Schr\"odinger equation (SE), and a single-layer graphene system, modeled using a 2D Dirac equation (DE) for massless fermions. 3. Natural van der Waals silicates as hosts for telecom quantum emitters: the case of erbium-doped talc Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2608.12563 Erbium ion is among the most promising solid-state single photon emitters and spin-photon interfaces for quantum networks, emitting directly in the telecom C-band in many host semiconductors. 4. One-sided stripe supersolidity from engineered non-axisymmetric dipolar interactions Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2608.12867 A supersolid combines density order with phase coherence, and doped lattice solids ask whether added defects can become coherent without melting the ordered background. 5. Blinking membrane patterns induced by protein binding/unbinding Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2608.13016 Nonequilibrium membrane pattern formation is studied using meshless membrane simulation. 6. Formally Verified Lock-Free Software Transactional Memory for Scientific Measurement Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2608.12024 Automated measurement of condensed-matter experiments requires instrument-control, data-acquisition, and user-interface threads to access shared, naturally hierarchical state concurrently. 7. Thermodynamic Spectroscopy of Emergent Excitations in Quantum Spin Ice Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2608.11305 Quantum spin ice (QSI) is a three-dimensional quantum spin liquid where fractionalized spinons interact with emergent photons. 8. Yttrium Superhydrides Revisited: Advanced Experimental and Theoretical Studies of YH$_6$, YH$_9$ and YH$_{10}$ Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2608.11428 Yttrium polyhydrides are benchmark materials in high-pressure superconductivity, yet several key properties of the Y-H system remain insufficiently characterized. 9. Steady-state phase transition in one-dimensional hybrid contact process Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2608.10948 We investigate the steady-state phase transition in a one-dimensional hybrid contact process. 10. The nature of the "pseudogap" in the insulating phase of highly disordered superconductors Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2608.12508 Disordered thin films undergoing a superconductor-insulator transition provide a controlled setting for studying pseudogap physics in the absence of competing electronic orders. 11. Emergent trans-moir\'e orbitals and topology in rhombohedral graphene Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2608.12478 The fractional quantum anomalous Hall effect (FQAHE) exhibited in fractional Chern insulators has recently been demonstrated in twisted MoTe2 and rhombohedral graphene/hBN moir\'e superlattices, promising new routes toward topological quantum computation. 12. Memory-dependent electronic friction for nonadiabatic dynamics at metal surfaces Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2608.12572 Electronic excitation induced by nuclear motion is a key energy dissipation channel in chemical dynamics at metal surfaces. 13. Finite-temperature phase diagram and collective modes of coherently coupled Bose mixtures Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2510.11671 We investigate the ferromagnetic-paramagnetic phase transition in coherently (Rabi) coupled Bose-Einstein condensates at zero and finite temperatures, exploring different routes to the transition by tuning the Rabi coupling or increasing the temperature at a fixed coupling. 14. Substrate-Directed Wetting Layers in Bicontinuous Particle-Stabilised Emulsions Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2608.13230 Bicontinuous interfacially jammed emulsion gels (bijels) facilitate efficient mass transport across multiple length scales due to their interwoven structure of particle-stabilised liquid channels. 15. Mechanical strain induced topological phase changes of monolayer and bilayer ZrTe$_5$ Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2311.04721 Two-dimensional materials offer exceptional tunability of their properties through strain, electrostatic gating, and related mechanisms. 16. Light-induced effective magnetic fields in Landau quantized graphene Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2608.11751 Ultrafast magnetism triggered by circularly polarized radiation underpins ultrafast spin control, relevant to future technologies, e.g., opto-spintronics and magnonics. 17. Acoustic Plasmon Resonance: Breaking the Anderson Stiffness Paradigm in Quasi-Two-Dimensional Superconducting Films Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2608.11610 Recent experiments on superconducting films have revealed an acoustic plasmon mode that depends critically on the superconducting transition, directly challenging the long-standing Anderson-Higgs paradigm regarding the stiffness of the plasma spectrum in superconductors. 18. Jamming transition in an active exclusion process Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2608.11041 Multiple studies on active matter have shown that activity can induce or suppress a phase transition, or modify the critical behavior of a passive system. 19. Magnetism in antiperovskite (Li$_2$\textit{M})\textit{Ch}O (\textit{M} = Fe, Mn, Co; \textit{Ch} = S, Se) diluted magnets with fixed 1/3 filling: the key role Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2608.13111 We report the magnetic properties of a series of lithium-rich antiperovskites (Li$_2M$)$Ch$O ($M$ = Fe, Co, Mn and $Ch$ = Se, S) where transition metal and lithium ions are randomly distributed on the X-sites of the X$_3$BA structure, thereby forming a strongly diluted magnetic sublattice. 20. Resonant Far-Infrared Spectroscopy of Flat-Band Fermions in Magic Angle Graphene Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2608.12553 Moir\'e engineering in twisted two-dimensional (2D) materials radically alters low-energy bands, interactions and topological quantum states. 21. Finite-Temperature Thermodynamics of Cu(100) Oxidation: Missing-Row Reconstruction, Defect States, and Order-Disorder Transition from Nested Sampling Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2608.12787 Metal surfaces undergo structural, compositional, and morphological changes in response to their chemical environment. 22. Non-Hermitian physics in the dissipative many-body system of Rydberg atoms Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2602.07372 Non-Hermitian physics exhibits unique physical properties beyond those of traditional Hermitian systems, such as symmetry breaking, the emergence of exceptional points, topological phase transitions, and more. 23. Capillary self-folding chains Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2608.13349 Mesoscale self-assembly provides a route toward the design of programmable microsystems. 24. Bismuth-substituted Lutetium Iron Garnet Films with Giant Visible-Range Magneto-Optical Sensitivity Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2602.19793 Magneto-optical materials are indispensable across modern physics, serving as the foundation for precision magnetic sensing, nonreciprocal photonics, and optical isolation technologies. 25. Spin nematic liquid crystal and scalar spin chirality in tetragonal lattice YbMnBi$_2$ Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2608.11776 A spin nematic order, analogous to the nematic liquid crystal, characterizes the spontaneous breaking of spin-space rotational symmetry while preserving time-reversal ($T$) symmetry. 26. Thickness-Driven Superconductor-Insulator Transition in (Cu,C)-1234 and Proximity-Induced Superconductivity Recovery in (Cu,C)-1234/YBCO Heterostructure Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2608.11707 Superconducting proximity effect and related thickness-driven property evolution remain an important issue in understanding high temperature superconductors. 27. Exact Expressions of Entropy for Classical Non-interacting Many-body Systems Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2608.11104 In the thermodynamic limit, the equilibrium state of a many-body system can be characterized by three pairs of conjugate thermodynamic variables: $E/T,V/P,N/\mu$. 28. Neural Quadratic Forms: A Unified Minimal Model for Sudden Learning and Scaling Laws Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2608.13335 Neural networks trained by gradient descent on a smooth cost function can nevertheless learn in steps: the cost holds on long plateaus and then drops abruptly. 29. Spin Vector Control for Heisenberg-Inspired Probabilistic Computing Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2608.12568 Probabilistic bits (p-bits) have emerged as a cornerstone of probabilistic computing, enabling energy-efficient hardware implementation for probabilistic inference and combinatorial optimization. 30. First-Principles Investigation of 2D Copper Boride as a High-Performance Anode for Lithium-Ion Batteries Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2608.12824 In this study, we investigate the two-dimensional copper boride, Cu$_8$B$_{14}$, as a possible anode material for lithium-ion batteries using first-principles calculations. 31. Non-relativistic Floquet Conformal Field Theory Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2607.27668 We develop a formalism for studying Floquet dynamics for systems with non-relativistic conformal invariance in d spatial dimensions. 32. Intermediate scattering function of Brownian particles in a tilted cosine potential Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2608.12421 We solve the Fokker-Planck equation for a Brownian particle in a tilted cosine potential and derive the intermediate scattering function (ISF), which captures the full spatio-temporal dynamics of the system. 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 32 of 405 available items for this weekly brief.