Staircase to higher-order topological phase transitions
Name
PhysRevB.97.121106.pdf
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438.04 KB
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Checksum (MD5)
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Author(s)
Cats, P.
Quelle, A.
Martin-Delgado, M. A.
Morais Smith, C.
Viyuela Garcia, Oscar
Date Issued
March 2018
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevB.97.121106
