Clay weekly context brief for the Condensed Matter category (ISO week 2026-W33). 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. Measurement-induced entanglement Hamiltonian Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2608.06006 We study the entanglement Hamiltonian of an infinite hopping chain in its ground state, after partial projective measurements in the occupation basis. 2. Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2608.05294 Electric-magnetic self-duality of the $\mathbb{Z}_2$ gauge theory, realized microscopically as a half-lattice-translation exchanging electric charge and magnetic flux, has been an influential example of a duality symmetry with an exact lattice realization. 3. Annular Majorana mode in a superconducting topological insulator Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2608.05632 When the surface states of a topological insulator becomes superconducting, topological superconductivity can be obtained, and each vortex on the surface can host one single Majorana zero-energy mode which is usually a wave packet decaying exponentially off the vortex core. 4. Synchronized molecular dynamics method for thin-layer flows of complex fluids Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2604.24138 We propose a multiscale computational method for thin-layer flows of complex fluids, termed the synchronized molecular dynamics (SMD) method, which directly couples local molecular dynamics (MD) simulations with a macroscopic lubrication description. 5. Temporal Berry Phase and the Emergence of Bose-Glass-Analog Phase in a Clean U(1) Superfluid Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2603.09422 The (2+1)-dimensional U(1) sigma model with temporal Berry phase term captures zero-temperature phase-fluctuation-driven superfluid (SF) transitions in two spatial dimension. 6. Interfacial Coupling and Sparse Intercalation of 7-Atom-Wide Armchair Graphene Nanoribbons by N-Heterocyclic Carbene Monolayers Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2606.11973 Graphene nanoribbons (GNRs) synthesized on metal substrates experience electronic coupling and screening from the underlying surface, which, although often weak, can modify their observed properties and complicate their transfer to device-compatible substrates. 7. Study of polarization of even-denominator fractional quantum Hall states in SU(4) Graphene Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2206.08647 We have focussed to study the even-denominator fractional quantum Hall (EDFQH) states observed in monolayer graphene. 8. Diffusion Operator Geometry of Feedforward Representations Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2605.01107 Feedforward neural networks transform data through learned representations whose geometry shapes how classes separate and relate across successive layers. 9. CheMLFlow: An Open-Source Platform for Cheminformatics and Materials Informatics Applications Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2608.04942 CheMLFlow is an open-source platform for building and executing end-to-end, high-throughput, and agentic workflows for scientific and technological applications. 10. Thermodynamic statistics of given names in USA and France Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2608.06048 Using official government data sets of USA and France we analyze the occurrence/frequency/popularity distributions of given names on a time scale of more than 100 years. 11. Local Spin Excitations Mediate Quasiparticle Breakdown in the Orbital-Selective Mott Phase Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2608.05556 The orbital-selective Mott phase (OSMP) is commonly described as a coexistence of localized and itinerant electrons within effectively decoupled orbitals, but emerging evidence for quasiparticle breakdown points to physics beyond this picture, whose microscopic origin remains unknown. 12. Universal route towards field-free electrically polarity-reversible Josephson diode Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2312.04650 The realisation of superconducting diodes that operate without external magnetic fields and allow electrical control of polarity is a key goal for the integration of nonreciprocal elements into cryogenic and quantum technologies. 13. Active Cahn-Hilliard theory for nonequilibrium phase separation: quantitative macroscopic predictions and a microscopic derivation Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2601.16539 Phase-separating active systems can display phenomenology that is impossible in equilibrium. 14. Odd-parity altermagnetism through sublattice currents: From Haldane-Hubbard model to general bipartite lattices Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2503.09602 We propose the sublattice currents in a compensated collinear magnetic system as a feasible route to odd-parity altermagnetism (ALM), where nonrelativistic collinear spin splitting occurs in the bands as an odd function of momentum. 15. Berry-Curvature Activation by Orbital Flux in a Kagome Altermagnet Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2606.04984 We investigate topological electronic responses in a kagome altermagnetic metal hosting a compensated coplanar $120^\circ$ magnetic texture. 16. Lorentz-Covariant Landau Levels of Tilted Dirac Fermions in Nonuniform Fields Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2607.17676 We develop an analytical theory of Landau quantization for tilted anisotropic Dirac fermions in an exponentially decaying magnetic field. 17. Perfect reconstruction of sparse signals using nonconvexity control and one-step RSB message passing Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2512.17426 We consider sparse signal reconstruction via minimization of the smoothly clipped absolute deviation (SCAD) penalty, and develop one-step replica-symmetry-breaking (1RSB) extensions of approximate message passing (AMP), termed 1RSB-AMP. 18. Emergence of multiple quasi-ferromagnetic magnon modes induced by strong magnetoelastic coupling in $TmFeO_3$ single crystal Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2603.26284 We investigate the magnetization dynamics of $TmFeO_3$ single crystals across the spin-reorientation phase transition using broadband microwave absorption spectroscopy up to 87.5 GHz. 19. Collective search-and-capture under competing assignment policies Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2608.06084 We study a minimal lattice model of active search-and-capture in which persistent random walkers locate and irreversibly capture immobile targets through a finite-range, mutually exclusive assignment rule. 20. Landscape of incompressible crystals of hard-core bosons on the square-kagome lattice Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2608.05927 We investigate a hard-core boson model on the square-kagome lattice using hierarchical mean-field theory beyond the conventional unit-cell description. 21. First-principles calculation of coherence length and penetration depth based on density functional theory for superconductors Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2603.05123 We develop a first-principles framework for evaluating the fundamental length scales of superconductivity, namely the coherence length $\xi_0$ and the magnetic penetration depth $\lambda_\mathrm{L}$, within superconducting density functional theory (SCDFT). 22. Experimental evidence for strong emergent correlations between particles in a switching trap Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2508.07199 We experimentally study a system of $N = 4$ two-dimensional Brownian particles, each confined in a harmonic trap with identical stiffness. 23. Extensive entanglement between coupled Tomonaga-Luttinger liquids in and out of equilibrium Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2508.20533 Quantum entanglement exists in nature but is absent in classical physics, hence it fundamentally distinguishes quantum from classical theories. 24. Pulse-Duration Control of Subcycle Multiband Electron Dynamics Extends the High-Harmonic Cutoff in a Light-Driven Insulator Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2608.06129 We demonstrate pathway-selective control of extreme-ultraviolet high-harmonic generation by jointly tuning laser pulse duration ($5$ - $29$ fs) and intensity ($0.8$ - $74$ TW/cm$^2$). 25. Rashba-Cavity Engineering of Energy Gaps and Spin-Hall Conductivity in Semiconducting Artificial Graphene Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2606.01373 We investigate the combined effect of a far - infrared cavity field and Rashba spin - orbit interaction on the band structure and transport properties of artificial graphene composed of quasi-2D InAs/GaAs quantum dots. 26. Real-time imaging of quasiparticle dynamics at a topological defect in an electronic crystal Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2512.02688 Defects formed during nonequilibrium self-assembly of quantum matter can dominate its emergent properties. 27. Engineering symmetry-protected topological states in waveguide arrays Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2603.01769 The topological classification of a system depends on the discrete symmetries of its Hamiltonian. 28. Transport coefficients in hard-sphere fluids: thermodynamic versus kinetic descriptions Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2608.06143 A thermodynamic theory for transport coefficients in hard-sphere fluids is developed from a general expression for the Onsager matrix. 29. Dissipation-induced bulk and boundary criticality in the Haldane chain Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2608.05984 We study the Haldane chain coupled to a dissipative ohmic bath. 30. In search of novel ductile superconductors Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2608.04789 We performed a first-principles high-throughput screening of the mechanical properties of phonon-mediated superconductors selected from the recent experimentally synthesized superconducting materials database PRX Energy 4, 033012 (2025). 31. Nonequilibrium scaling of drag forces in counterdriven fluid mixtures Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2605.31479 We address the effective nonequilibrium drag force field that emerges from the microscopic interparticle interactions in steady states of counterdriven binary fluid mixtures. 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 31 of 369 available items for this weekly brief.