Staircase to Higher-Order Topological Phase Transitions

Abstract

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 $\alpha$. Remarkably, in the limit $\alpha =1$ the order of the topological transition becomes infinite. We compute the critical exponents for the series of higher-order transitions in exact form and find that they fulfill the hyperscaling relation. We also study the critical behaviour at the boundary of the system and discuss potential experimental platforms of magnetic atoms in superconductors.

arXiv comment5+5pages, 7 figures. Accepted as a Rapid Communication

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Cited by in corpus (14)

• Out-of-equilibrium phase diagram of long-range superconductors
• Majorana bound states in semiconducting nanostructures
• Entanglement entropy in the Long-Range Kitaev chain
• One-dimensional quantum many body systems with long-range interactions
• Unconventional scaling at non-Hermitian critical points
• Unifying topological phase transitions in noninteracting, interacting, and periodically driven systems
• First-Order Topological Quantum Phase Transition in a Strongly Correlated Ladder
• Topological footprints of the 1D Kitaev chain with long range superconducting pairings at a finite temperature
• Topological quantum phase transitions and criticality in a longer-range Kitaev chain
• Thermodynamics and entanglement entropy of the non-Hermitian SSH model
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