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In this work I demonstrate how to characterize topological phase transitionsin BDI symmetry class superconductors (SCs) in 1D, using the recentlyintroduced approach of Berry singularity markers (BSMs). In particular, I applythe BSM method to the celebrated Kitaev chain model, as well as to a variant ofit, which contains both nearest and next nearest neighbor equal spin pairings.Depending on the situation, I identify pairs of external fields which candetect the topological charges of the Berry singularities which are responsiblefor the various topological phase transitions. These pairs of fields consist ofeither a flux knob which controls the supercurrent flow through the SC, or,strain, combined with a field which can tune the chemical potential of thesystem. Employing the present BSM approach appears to be within experimentalreach for topological nanowire hybrids.

Diagnosing Topological Phase Transitions in 1D Superconductors using Berry Singularity Markers