Fractal-Induced Decoherence Suppression in Chiral Lanthanide MOFs

I propose a novel theoretical framework and computational protocol for stabilizing quantum spin coherence in molecular qubits by exploiting the self-similarity of fractal geometries. While traditional Single-Molecule Magnets (SMMs) suffer from rapid phonon-induced tunneling of magnetization (QTM), this research demonstrates that embedding Dysprosium(III) centers within a fractalized Sierpiński-triangle-based Metallo-Organic Framework (MOF) induces a “phonon bandgap” that suppresses spinlattice relaxation. Utilizing a hybrid High-Performance Computing (HPC) approach— where core Hamiltonian diagonalization is handled by optimized Fortran 90 kernels and topological invariant analysis is driven by Python—we observe the emergence of a topological protective phase. This “Chrono-Entanglement” effect allows for coherence times (T_2) approaching the millisecond regime at liquid nitrogen temperatures. This work provides the first logical proof that spatial fractal dimension (D_f) directly correlates with the suppression of under-barrier tunneling, offering a blueprint for the next generation of room-temperature quantum sensors.