2025/09/28 by Xun-Jiang Luo, Luo, Xun-Jiang, Xiangtao Ma +3
Physics and Astronomy · #Bilayer #Dirac (video compression format) #FOS: Physical sciences #Gapless playback #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Noncommutative and Quantum Gravity Theories #Point reflection #Quantum #Quantum Mechanics and Non-Hermitian Physics #Scaling #Topological Materials and Phenomena #Topology (electrical circuits)
paper · pdf · doi:10.48550/arxiv.2509.23622
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2025/09/28 · openalex created_date 2025/10/19 · openalex updated_date 2026/08/09
Quantum metric, a fundamental component of quantum geometry, has attracted broad interest in recent years due to its critical role in various quantum phenomena. Meanwhile, band topology, which serves as an important framework in condensed matter physics, has led to the discovery of various topological phases. In this work, we introduce a bilayer Dirac model that allows precise tuning of both properties. Our approach combines two Dirac Hamiltonians with distinct energy scales; one producing relatively dispersive bands and the other yielding relatively flat bands. The dispersive and flat bands are weakly coupled via hybridization λ. By inducing a band inversion in the layer subspace, we achieve flexible tuning of band topology across all Altland-Zirnbauer symmetry classes and quantum metric scaling as g ∝ 1/λ2 near band inversion point. Using the bilayer Su-Schrieffer-Heeger model, we investigate the localization properties of gapless boundary states, which are affected by quantum metric. Our work lays a foundation for exploring the interplay between band topology and quantum metric.