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Staircase to higher-order topological phase transitions

Staircase to higher-order topological phase transitions

We find a series of topological phase transitions of increasing order, beyond the more standard second-order phase transition in a one-dimensional topological superconductor. The jumps in the order of the transitions depend on the range of the pairing interaction, which is parametrized by an algebraic decay with exponent $\ensuremath{\alpha}$. Remarkably, …