Clay weekly context brief for the Condensed Matter category (ISO week 2026-W37).

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. Spectral Function Method and Janus Quantum Numbers in Quasiperiodic Systems
   Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics)
   Link: https://arxiv.org/abs/2609.03555
   The absence of translational symmetry in quasiperiodic systems invalidates conventional band theory, posing the central challenge in the field.
2. A Strategy Toward Room Temperature Topological Hall Effect via Local Moment Magnetism
   Source: cond-mat.mtrl-sci (Materials Science)
   Link: https://arxiv.org/abs/2609.03223
   Topological spin textures in local moment systems hold great promise for technological applications due to their large magnetic moments, strong spin-orbit coupling (SOC), and high tunability.
3. Fermi-Point Topology Determines Emergent Conformal Criticality in Extended Quantum Spin Chains
   Source: cond-mat.other (Other Condensed Matter)
   Link: https://arxiv.org/abs/2609.03708
   Quantum criticality in one-dimensional quantum systems is characterized by emergent conformal field theories (CFTs), whose central charge counts independent gapless degrees of freedom.
4. Finite-temperature mass gap and quench dynamics of mobile impurities in a Fermi gas
   Source: cond-mat.quant-gas (Quantum Gases)
   Link: https://arxiv.org/abs/2609.03656
   Recently, a mass-gap description of mobile impurities in a Fermi gas was introduced, which connects Anderson's orthogonality catastrophe for static impurities to the quasiparticle picture of Fermi polarons through a recoil-induced energy gap in the fermionic dispersion.
5. Reciprocity can halve what a mechanical network can learn
   Source: cond-mat.soft (Soft Condensed Matter)
   Link: https://arxiv.org/abs/2609.04169
   Tunable mechanical networks are being developed as materials that learn in place.
6. Dipolar order across Bravais lattice space: classification, spin waves, and a four-attractor phase diagram
   Source: cond-mat.stat-mech (Statistical Mechanics)
   Link: https://arxiv.org/abs/2609.02936
   Every crystal is a Bravais lattice decorated by a basis, so the dipolar ordering of the fourteen Bravais lattices is the natural starting point for any systematic theory of dipolar magnetism in three dimensions.
7. Moir\'e-induced altermagnetism from nonmagnetic constituents
   Source: cond-mat.str-el (Strongly Correlated Electrons)
   Link: https://arxiv.org/abs/2609.03271
   We propose a mechanism for nonmagnetic materials to develop altermagnetic order by moir\'e interference with nonmagnetic substrate, which is driven by structural relaxation and spontaneous twirls in moir\'e domain walls of lattice-mismatched moir\'e square lattices.
8. Doping dependence of local moments in infinite layer nickelates
   Source: cond-mat.supr-con (Superconductivity)
   Link: https://arxiv.org/abs/2609.03388
   The infinite layer nickelates are notable for their lack of long-range antiferromagnetic ordering, in contrast to the parent compounds of the superconducting cuprates.
9. Quantum Circuit and Tensor Network Implementation of the 2D Acoustic Wave Equation
   Source: cond-mat.dis-nn (Disordered Systems and Neural Networks)
   Link: https://arxiv.org/abs/2609.01904
   We present a cohesive framework for simulating seismic wave propagation utilizing quantum computing paradigms and their classical tensor network equivalents.
10. Built-In Electric Field Modulation of Spontaneous Magnetism and Thermospin Transport in Boron-Nitrogen Doped Zigzag Graphene Nanoribbons
   Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics)
   Link: https://arxiv.org/abs/2609.03476
   Zigzag-edged graphene nanoribbons (ZGNRs) host large magnetic moments at two zigzag edges due to spontaneous magnetism, whose ground state is antiferromagnetically coupled spin-order edge state (AF state).
11. Experimentally constrained modeling of the Pockels response of KNbO3 and KTaNbO3
   Source: cond-mat.mtrl-sci (Materials Science)
   Link: https://arxiv.org/abs/2609.03888
   The soft-mode of electro-optic (EO) metal-oxide perovskites plays a critical role in determining their Pockels responses.
12. Exact mapping from short-ranged harmonic elastic models of spin crossover materials to Ising models with interactions at all length scales
   Source: cond-mat.other (Other Condensed Matter)
   Link: https://arxiv.org/abs/2008.08738
   Spin crossover (SCO) materials are reversible molecular switches found in a wide range of transition metal complexes and metal organic frameworks (MOFs).
13. Three-observable measurement of the critical velocity in a paraxial superfluid of light flowing past a mobile impurity
   Source: cond-mat.quant-gas (Quantum Gases)
   Link: https://arxiv.org/abs/2609.03948
   We report the measurement of the critical velocity of a paraxial superfluid of light flowing past a mobile impurity, realized using a dual-wavelength optical scheme in a warm vapor of $^{87}\text{Rb}$.
14. Unraveling the PFAS helix: A statistical approach
   Source: cond-mat.soft (Soft Condensed Matter)
   Link: https://arxiv.org/abs/2609.02935
   The extreme persistence of per- and polyfluoroalkyl substances (PFAS) in the environment is rooted in their three-dimensional molecular conformation.
15. Constituent-Tagged Transfer Linking Cluster Dynamics to Static Scaling
   Source: cond-mat.stat-mech (Statistical Mechanics)
   Link: https://arxiv.org/abs/2609.02960
   Clusters that merge and split have no unique genealogy.
16. Resolving the Magnetic Ground-State Controversy in RuO2 through A Flat Magnetic Energy Landscape
   Source: cond-mat.str-el (Strongly Correlated Electrons)
   Link: https://arxiv.org/abs/2609.03274
   Rutile RuO2 is a prominent candidate for altermagnetism, yet its magnetic ground state remains highly controversial, with experiments reporting either a nonmagnetic state or altermagnetic order.
17. Tunable Chern superconductivity of PtBi$_2$ in slab geometry
   Source: cond-mat.supr-con (Superconductivity)
   Link: https://arxiv.org/abs/2609.03867
   Recent experiments indicate that PtBi$_2$ is a Weyl semimetal whose surfaces become topological superconductors with i-wave gap symmetry at low temperature.
18. Neural Logic, Invariance, and the Retina---McCulloch and Pitts
   Source: cond-mat.dis-nn (Disordered Systems and Neural Networks)
   Link: https://arxiv.org/abs/2609.02183
   This chapter reconstructs the McCulloch-Pitts program as a physics of neural computation rather than the familiar cartoon of a binary neuron.
19. Deterministic nanofabrication for engineering nanowire quantum dot devices
   Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics)
   Link: https://arxiv.org/abs/2609.03076
   Semiconductor quantum dots (QDs) are a leading platform for realising bright, wavelength-tunable sources of single and entangled photon pairs for photonic quantum technologies.
20. Grain boundary evolution in nanoparticles
   Source: cond-mat.mtrl-sci (Materials Science)
   Link: https://arxiv.org/abs/2609.03307
   Grain boundary evolution is a key dynamical process that enables structural rearrangements in nanoparticles and drives them towards low energy configurations.
21. Hamiltonian Learning at Scale
   Source: cond-mat.other (Other Condensed Matter)
   Link: https://arxiv.org/abs/2608.23707
   Learning a quantum system's Hamiltonian is crucial for understanding and controlling its dynamics and has recently become a topic of widespread interest.
22. Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical Ensemble
   Source: cond-mat.quant-gas (Quantum Gases)
   Link: https://arxiv.org/abs/2608.26378
   We consider a non-interacting Bose gas governed by a general one-particle Hamiltonian in the canonical ensemble.
23. Internal geometries regulate the symmetry of defect configurations in cell populations confined to domains with a negative Euler characteristic
   Source: cond-mat.soft (Soft Condensed Matter)
   Link: https://arxiv.org/abs/2609.03328
   Nematic order of confined cell populations plays an important role in determining cell alignment and stable configurations of topological defects, which are related to various biomechanical phenomena.
24. Large deviations for linear regressions
   Source: cond-mat.stat-mech (Statistical Mechanics)
   Link: https://arxiv.org/abs/2609.03111
   Linear regression is one of the simplest and most widely used tools to learn patterns from data: it fits a set of coefficients so that a linear combination of predictors best matches observed responses.
25. Studying line defect at Deconfined Quantum Criticality via fuzzy sphere regularization
   Source: cond-mat.str-el (Strongly Correlated Electrons)
   Link: https://arxiv.org/abs/2609.03465
   The interplay between bulk critical fluctuations and nontrivial topology can enrich defect physics and give rise to novel defect universality classes.
26. A Diagrammer's Note on Superconducting Fluctuation Transport for Beginners: I. Conductivity and Thermopower
   Source: cond-mat.supr-con (Superconductivity)
   Link: https://arxiv.org/abs/1112.1513
   A diagrammatic approach based on thermal Green function to superconducting fluctuation transport is reviewed keeping consistency with Ginzburg-Landau theory.
27. Memory as an Energy Landscape---Hopfield
   Source: cond-mat.dis-nn (Disordered Systems and Neural Networks)
   Link: https://arxiv.org/abs/2609.02195
   This chapter reconstructs the Hopfield network as a physical theory of memory rather than merely an early neural-network algorithm.
28. Flux noise without flux tunability in superconducting qubits
   Source: cond-mat.mes-hall (Mesoscale and Nanoscale Physics)
   Link: https://arxiv.org/abs/2609.03059
   Flux noise is unanimously recognised as a leading dephasing mechanism for flux-tunable superconducting qubits.
29. Thermal history controls the optoelectronic response of lead halide perovskites through structure and dynamics
   Source: cond-mat.mtrl-sci (Materials Science)
   Link: https://arxiv.org/abs/2609.03211
   Lead halide perovskites are promising optoelectronic materials for photovoltaics, light emission and detection.
30. Topological Lithography via External Field: Creating Topological States Anywhere Beyond the Edge
   Source: cond-mat.other (Other Condensed Matter)
   Link: https://arxiv.org/abs/2609.02670
   Topological insulators (TIs), recognized for their robust boundary states and unconventional phase transitions, have emerged as one of the most impactful discoveries in recent decades, attracting considerable interest across diverse fields.

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 30 of 353 available items for this weekly brief.