This category explores the fascinating intersection where disorder meets quantum mechanics, specifically looking at how electrons behave when they get stuck in messy, irregular materials. Instead of the smooth flow found in perfect crystals, researchers here study systems where randomness creates surprising new states of matter, often leading to phenomena like insulation in materials that should conduct electricity. These studies help us understand the fundamental limits of quantum transport in real-world, imperfect environments.

Gist.Science processes every new preprint in this field as it appears on arXiv, ensuring you have immediate access to the latest breakthroughs. For each paper, we provide both a plain-language explanation to make the core ideas accessible and a detailed technical summary for those who need the full mathematical depth. Below are the latest papers in this specialized area of condensed matter physics, curated and summarized for your review.

🔬 condensed matter

Establishment of global phase coherence in a highly disordered fractal MgO/MgB2 nanocomposite: Roles of interface, morphology and defect

This study reveals that a highly disordered fractal MgO/MgB2 nanocomposite achieves robust global phase coherence and bulk-like superconductivity through atomically clean interfaces and oxygen vacancy channels that facilitate long-range carrier transfer, despite a low MgB2 volume fraction.

Iku Nakaaki, Aoi Hashimoto, Shun Kondo, Yuichi Ikuhara, Shuuichi Ooi, Minoru Tachiki, Shunichi Arisawa, Akiko Nakamura (…)2026-07-17
🔬 condensed matter

Learning Pseudorandom Numbers with Transformers: Permuted Congruential Generators, Curricula, and Interpretability

This paper demonstrates that Transformer models can successfully learn and predict sequences from complex Permuted Congruential Generators (PCGs) through curriculum learning and by discovering bitwise rotationally-invariant representations, revealing a scaling law where the required context length grows as the square root of the modulus.

Tao Tao, Maissam Barkeshli2026-07-17
🔬 condensed matter

Oscillatory Active Brownian Motion: A Minimal Model for Sperm Dynamics

This paper introduces Oscillatory Active Brownian Motion (OABM), a minimal theoretical model that extends standard active Brownian motion by incorporating periodic angular drives to accurately describe and predict the transport dynamics and motility characteristics of sperm cells across different physiological states.

Adrian Pacheco-Pozo, Arturo Matamoros Volante, Pilar Ameijeiras, Mariano G. Buffone, Diego Krapf2026-07-15