2025/12/06 by Bhattacharya, Sayan, Acharjee, Rhiddha, Nandy, Atanu
Physics and Astronomy · #Diagonal #Flux (metallurgy) #Hamiltonian (control theory) #Magnetic flux #Quantum #Quantum and electron transport phenomena #Quantum dynamics #Quantum many-body systems #Topological Materials and Phenomena
paper · open access · doi:10.48550/arxiv.2512.06569
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2025/12/06 · openalex created_date 2025/12/10 · openalex updated_date 2026/07/28
We address that a single-band tight-binding Hamiltonian defined on a self-similar corral substrate can give rise to a set of non-diffusive localized modes that follow the same hierarchical distribution. As the lattice, the spatial extent of quantum prison containing a cluster of atomic sites is dependent on the generation of fractal structure. Apart from the quantum imprisonment of the excitation, a magnetic flux threading each elementary plaquette is shown to destroy the boundedness and generate an absolutely continuous sub-band populated by resonant eigen functions. Flux induced engineering of quantum states is corroborated through the evaluation of inverse participation ratio and quantum transport. Moreover, the robustness of the extended states has been checked in presence of diagonal disorder and off-diagonal anisotropy. Flux modulated single-particle mobility edge is characterized through mutlifractal analysis. Quantum interference is the essential issue, reported here, that manipulates the kinematics of the excitation and this is manifested by the workout of persistent current.