Localization Dynamics in Flat Band Systems
Saumya Prakash Sharma
NISER Bhubaneswar, India
Flat band systems have gained significant attention due to the potential emergence of exotic phenomena when interactions and disorders are introduced. In quasi-1D rhombus lattice chains, all bands become flat, manifesting localization known as Aharonov-Bohm Caging, where single particles are localized. In this study, we utilize computational techniques to investigate the behavior of such systems under external magnetic flux, aiming to study the interplay among flux, interactions, and disorder in shaping their electronic structure. We observe the formation and subsequent breaking of caging due to particle interactions, shedding light on the dynamics within the lattice. Additionally, we analyze survival probabilities and population densities as functions of magnetic flux and interaction strength, revealing insights into both localization and delocalization phenomena. Furthermore, our findings reveal topologically protected edge states for single particle dynamics, leading to localization at the lattice edges. By elucidating these phenomena, our work contributes to a deeper understanding of quantum transport under magnetic flux, offering valuable insights into the behavior of particles within confined geometries. These insights not only advance our comprehension of fundamental quantum principles but also lay the groundwork for exploring exotic quantum states and their potential applications in quantum technologies.
(Online seminar via Zoom)
