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Staircase to higher-order topological phase transitions

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Cats, P. and Quelle, A. and Viyuela, O. and Martin-Delgado Alcántara, Miguel Ángel and Morais Smith, C. (2018) Staircase to higher-order topological phase transitions. Physical review B, 97 (12). ISSN 2469-9950

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Official URL: http://dx.doi.org/10.1103/PhysRevB.97.121106




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.


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© 2018 American Physical Society. The work by A.Q. and C.M.S. is part of the D-ITP consortium, a program of the Netherlands Organisation for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW). M.A.M.-D. and O.V. acknowledge financial support from the Spanish MINECO Grants No. FIS2012-33152 and No. FIS2015-67411 and the CAM research consortium QUITEMAD+, Grant No. S2013/ICE-2801. The research of M.A.M.-D. has been supported, in part, by the U.S. Army Research Office through Grant No. W911N F-14-1-0103. O.V. thanks Fundación Ramón Areces, Fundación Rafael del Pino and RCC Harvard.

Uncontrolled Keywords:Quantized hall conductance; Bound-states; Insulator-transition; Model; Superconductors; Impurity; Systems; Superfluid; Lattice
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:47209
Deposited On:24 Apr 2018 15:24
Last Modified:25 Apr 2018 07:41

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