Unified framework for the full hierarchy of topological boundary states in Floquet crystals
Peer-Reviewed Publication
Updates every hour. Last Updated: 21-Jun-2026 12:16 ET (21-Jun-2026 16:16 GMT/UTC)
Boundary states in topological states of matter are determined by bulk topological invariants. The conventional bulk–boundary correspondence typically maps a single invariant to a specific boundary mode, which complicates the description of systems hosting multiple coexisting topological phases. Now, writing in the journal National Science Review, researchers proposed a unified characterization of strong, weak, and higher-order topological boundary states in two-dimensional Floquet systems using three complementary one-dimensional winding numbers, offering new insights into the prediction and manipulation of complex topological phases.
Finding and developing new molecules is one of the great research endeavours of modern chemistry. From the development of new drugs to the creation of more sustainable materials, everything depends on finding new combinations of atoms with useful properties. Now, a research team from the Universitat Rovira i Virgili (URV) has developed an artificial intelligence tool capable of generating millions of new molecules which, although still unknown to science, comply with the laws of chemistry and could therefore be realistic possibilities. The research results have been published in the journal Nature Machine Intelligence.
Artificial intelligence systems based on neural networks — such as ChatGPT, Claude, DeepSeek or Gemini — are extraordinarily powerful, yet their internal workings remain largely a “black box”. To better understand how these systems produce their responses, a group of physicists at Harvard University has developed a simplified mathematical model of learning in neural networks that can be analysed mathematically using the tools of statistical physics.
“Toy models”, like the one presented in the study just published in the Journal of Statistical Mechanics: Theory and Experiment (JSTAT), provide researchers with a controlled theoretical laboratory for investigating the fundamental mechanisms of neural networks. A deeper understanding of how these systems work could help design artificial intelligence systems that are more efficient and reliable, while also addressing some of the current challenges.
Researchers at McGill University have discovered that moderate ultraviolet (UV) light exposure is best when the technique is used to enhance vitamin D₂ in edible mushrooms. Excessive exposure leads to nutrient degradation or a plateau effect, they found. The paper also provides quantitative guidance.
A study focusing on fundamental aspects of quantum physics led by Cal Poly Physics Department Lecturer Ian Powell analyzed how a changing magnetic field can make matter behave in unusual ways. Working in collaboration with student researcher Louis Buchalter, an article coauthor, Powell published the journal article “Flux-Switching Floquet Engineering,” which demonstrates that changing magnetic fields over time in time can create quantum states that do not exist in any stationary material. By engineering new quantum behaviors by timing the field, physicists can potentially create technologies that are very stable and hard to disrupt by “noise” or imperfections that can interfere with quantum technology functionality and avoid system errors.