Clay weekly context brief for the Condensed Matter category (ISO week 2026-W40). 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. Realization of Very High Mobility InAs Quantum Wells on InP Substrates Through Convex InAlAs Graded Buffer Optimization Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2609.28795 Due to strong spin-orbit coupling, large Land\'e $g$-factor, and a highly transparent interface, the two-dimensional electron gas (2DEG) in InAs quantum wells provides an ideal platform for the exploration of topological superconductivity in hybrid semiconductor-superconductor heterostructures. 2. Real-space determination of orbital states driving successive phase transitions in FeV2O4 Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2604.04398 Direct experimental access to orbital states in strongly correlated materials remains a major challenge, despite their central role in driving coupled structural and magnetic phase transitions. 3. Foundations of Many-Body Theory of Quantum Unified Statistics: Green functions and Linear Response Theory Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2609.05878 We develop a comprehensive many-body theory for systems of particles obeying quantum unified statistics, or quons. 4. How do incorrect ligands help detect a correct ligand? Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2609.25708 Intrigued by the response of T cell receptors to the presence of a few agonist ligands, we propose a minimal model that can achieve similar performance. 5. Thermodynamic and statistical properties of a multifractional modified dispersion relation via the grand-canonical ensemble Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2605.16424 We study the thermodynamic and statistical properties of a gas governed by a multifractional modified dispersion relation of the form $\omega^{2}=k^{2}+4E_{*}^{-1/2}k^{5/2}$, where $E_{*}$ sets the characteristic scale of the multifractional correction. 6. Lamb Shift of a Static Atom Facing a Rotating Surface Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2607.01495 We study how the Lamb shift of a static atom is modified when a nearby planar body rotates rigidly about its normal while the atom is held at a fixed distance $a$. 7. Atom-Resolved Machine Learning of Dielectric and Piezoelectric Response Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2609.29978 Predicting dielectric and piezoelectric responses in structurally complex materials requires large simulation cells, for which density-functional perturbation theory (DFPT) calculations scale as $\mathcal{O}(N^4)$ and become computationally prohibitive. 8. A fully parallel densely connected probabilistic Ising machine with inertia for real-time applications Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2604.17109 Ising machines---special-purpose hardware for heuristically solving Ising optimization problems---based on probabilistic bits (p-bits) have been established as a promising alternative to heuristic optimization algorithms run on conventional computers. 9. Oxide-Nitride Heteroepitaxy for Low-Loss Dielectrics in Superconducting Quantum Circuits Source: cond-mat.supr-con (Superconductivity) Link: https://arxiv.org/abs/2603.29065 Superconducting qubits show great promise for the realization of fault-tolerant quantum computing, but lossy, amorphous dielectrics limit current technology. 10. Interaction induced flattening of optical transition quantum geometry Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2609.28642 The Riemannian geometry of optical transition dipoles has become a useful picture for understanding linear and nonlinear optical response. 11. Disorder-induced quantum Fisher information in topological quantum systems Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2609.30142 The topological order of the Kitaev toric code is insensitive to disorder in its couplings since all star and plaquette operators commute; consequently, the stabilizer ground-state manifold is independent of the individual coupling strengths, and the phase remains stable against weak local perturbations. 12. A Human-AI Theorem Connecting Spontaneous and Field-Induced Mechanisms of Collective Behavior in One Dimension Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2609.00322 Can an artificial intelligence (AI) generate a scientific hypothesis outside a human collaborator's active hypothesis space (AHS), and can human-AI research be organized to make such breakthroughs more likely? 13. Direct Experimental Test of Conformal Invariance via Grazing Scattering: A Proposal for X-ray and Neutron Experiments Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2605.06773 We propose a test of conformal invariance in critical phenomena based on the study of a two-point correlation function in the presence of a boundary. 14. Quantum information scrambling in strongly disordered Rydberg spin systems Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2512.19856 Despite the fact that power-law interactions occur in a plethora of physical systems, their many-body dynamics is far less understood than that of nearest-neighbor interacting systems. 15. Larger physical volume and bounds on the number of matter fields in noncompact gauge theories on a lattice Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2609.28168 The work was motivated by the numerical result that in a pure SU(2) gauge theory the ratio R of the effective non-compact and compact lattice spacing is larger than 1 and increasing with decreasing gauge coupling, as well as the expectation that it should further increase extending the parameter space. 16. Subnanometer thermodynamic overlayers on bimetallic nanoparticles Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2609.29971 Nanoparticle properties are governed by their surfaces, yet their atomic-scale surface structures remain challenging to predict. 17. Detecting local topology with the spectral localizer Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2506.14174 The spectral localizer is a predictive framework for the computation of topological invariants of natural and artificial materials. 18. Power-law growth of shift current with superlattice period in flat Chern bands Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2609.28687 Quantum geometry governs a wide array of physical observables in topological quantum materials. 19. Leg-Tied Tensor Network States: Entanglement Beyond Virtual Bonds Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2609.30101 We introduce a class of tensor-network states in which physical legs are shared among local tensors, termed leg-tied tensor ans\"atze (LETTA). 20. A variational formulation of stochastic thermodynamics: Spatially extended systems Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2604.22298 Stochastic field theories are often constructed phenomenologically, without a systematic assessment of thermodynamic consistency or local detailed balance. 21. Control of filament network rigidity by the condensation of crowding molecules Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2609.26983 Understanding how liquid-liquid phase separation impacts the mechanics of filament networks is a fundamental physical problem at the heart of biological cellular processes and soft material design. 22. Discrete normalized gradient flow for two-component Bose-Einstein condensates: Energy dissipation, global convergence and sharp local convergence behavior Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2510.19392 The gradient flow with semi-implicit discretization (GFSI) is the most widely used algorithm for computing the ground state of Gross-Pitaevskii energy functional. 23. Resonantly Enhanced Multiphonon Scattering and Local Orbital-Phonon Coupling in Bulk and Thin Flakes of 2D Single Crystals of Antiferromagnetic (NixFe1-x)2P2S6 Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2609.27721 Orbital degrees of freedom play a pivotal role in shaping the physical properties of two-dimensional (2D) van der Waals magnetic systems, strongly influencing electron-phonon coupling and intermediate-state dynamics. 24. Local order in natural sanidine disentangled via single crystal diffuse scattering Source: cond-mat.mtrl-sci (Materials Science) Link: https://arxiv.org/abs/2609.29899 Natural sanidine commonly preserves metastable chemical disorder at ambient conditions, but the local structural correlations associated with this disorder remain poorly understood due to a reliance on average-structure analysis alone. 25. Estimates of ground state energies for the quantum SK and 2D-EA models, using deGennes-Suzuki-Kubo mean-field annealing dynamics Source: cond-mat.dis-nn (Disordered Systems and Neural Networks) Link: https://arxiv.org/abs/2605.29875 We perform large scale quantum annealing of the Sherrington-Kirkpatrick (SK) spin glass up to a system size $N=40000$ to estimate its ground state energy using the deGennes-Suzuki-Kubo mean-field quantum Ising dynamics, extending the earlier results (reported in Eur. 26. Intriguing topological superconductor phases in long-range extended Kitaev models: an interplay between sub-lattices and power-law interaction Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics) Link: https://arxiv.org/abs/2609.28735 The power-law profile of hopping and superconductivity introduces rich critical phenomena that are not possible to explore in the nearest-neighbor models. 27. Beyond Bond Gauge: Exact Tensor-Network Tangent Spaces at Weighted Graph States Source: cond-mat.str-el (Strongly Correlated Electrons) Link: https://arxiv.org/abs/2609.30066 For normal PEPS, the fundamental theorem settles at the finite level whether virtual-bond gauge exhausts a tensor network's representation freedom. 28. Upper critical dimension for dirty Weyl semimetal-to-metal quantum phase transitions Source: cond-mat.stat-mech (Statistical Mechanics) Link: https://arxiv.org/abs/2609.30265 Weyl or Dirac fermions with the iconic linear energy-momentum relation and average density of states (ADOS) $\rho(E) \sim |E|^{d-1}$ at energy $E$ in $d$ spatial dimensions, constitute a unique setup to study the disorder-driven semimetal-to-metal quantum phase transition (QPT) between ballistic (realized for weak disorder) and diffusive (stabilized at stronger disorder) quasiparticles. 29. Large integration time-step in molecular dynamics simulation artificially enhances the strength of hydrophobic interaction Source: cond-mat.soft (Soft Condensed Matter) Link: https://arxiv.org/abs/2609.30109 Molecular dynamics simulations are used to compute the potential of mean force (PMF) between two united-atom methane molecules at several temperatures and integration time-steps. 30. Entanglement area law in interacting bosons from the Bose-Hubbard model to $\phi$4 theory and beyond Source: cond-mat.quant-gas (Quantum Gases) Link: https://arxiv.org/abs/2411.02157 The entanglement area law is a universal principle that characterizes quantum many-body phases and underpins tensor network algorithms. 31. Spin-Boson Mappings in the Formalism of $f$-Deformations Source: cond-mat.other (Other Condensed Matter) Link: https://arxiv.org/abs/2609.22502 We develop a unified algebraic approach to spin-boson transformations based on the formalism of $f$-deformed oscillators. 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 367 available items for this weekly brief.