The Effective Model of Chirality-chirality Correlations of the System of Magnetized Nano-loops

The effective large-scale magnetostatic Hamiltonian of the nano-loops in a weakly excited flux-closed magnetized state is constructed by means of the perturbative technique. The inter-loop part of Hamiltonian is written as a sum of pair loop-loop contributions expressed by different types of collective variables: (i) continuous - (3d spins and amplitudes, higher-order intra-loop harmonics), (ii) discrete - vorticity charges. The approach represents a starting point of the minimization of energy suggested to analyze inter-loop correlations of chirality.