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Staircase to higher-order topological phase transitions

Author(s)
Cats, P.; Quelle, A.; Martin-Delgado, M. A.; Morais Smith, C.; Viyuela Garcia, Oscar
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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 α. Remarkably, in the limit α=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 behavior at the boundary of the system and discuss potential experimental platforms of magnetic atoms in superconductors.
Date issued
2018-03
URI
http://hdl.handle.net/1721.1/114513
Department
Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review B
Publisher
American Physical Society
Citation
Cats, P., et al. “Staircase to Higher-Order Topological Phase Transitions.” Physical Review B, vol. 97, no. 12, Mar. 2018. © 2018 American Physical Society
Version: Final published version
ISSN
2469-9950
2469-9969

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