Spin chains whose interaction strengths follow Fibonacci and Bernoulli number sequences — proposed here for the first time, in inverse-Fibonacci and Bernoulli forms — are viable models for quasicrystal-like order; the thesis numerically maps ground-state energies and qubit-pair entanglement (concurrences) across these chains and derives a fourth-order polynomial relating the Bernoulli and inverse-Fibonacci ground-state energies.

— In our words · Source: Computational Studies of Entanglement in Spin Chains Involving Fibonacci and Bernoulli Number Sequences (Ankan Bhattacharyya)