Paper Summary: Quantum-limit Chern Topological Magnetism in TbMn₆Sn₆

Author: Kevin Y. Lin Affiliation: Freshman, Southern University of Science and Technology (SUSTech), Shenzhen, Guangdong, China Date: July 8, 2025 Background In Kagome materials with strong spin-orbit coupling and out-of-plane magnetization, spin-polarized Dirac fermions are theoretically possible, analogous to the Haldane model. However, ideal quantum materials are lacking, posing experimental challenges. Key Findings / Evidence of Quantum-limit Chern Magnet 1. Spin-polarized Dirac Cones with Landau Quantization Zero-field STM peak shifts linearly with magnetic field due to the Zeeman effect: ...

2025-07-08 · 3 min · 469 words · Kevin Y. Lin

Munkres Manifolds Derivations

Let \( M \) be a topological space. Following Munkres, we define \( M \) to be a \( k \)-dimensional manifold without boundary if: \( M \) is Hausdorff, \( M \) is second-countable, For every \( p \in M \), there exists an open neighborhood \( U \subset M \) and a homeomorphism: $$ \varphi : U \to V \subset \mathbb{{R}}^k $$ where \( V \) is open in \( \mathbb{{R}}^k \). ...

2025-06-22 · 3 min · 472 words · Kevin Y. Lin