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Higher-order topological phases: A general principle of construction
Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany.;Univ Cambridge, Cavendish Lab, JJ Thomson Ave, Cambridge CB3 0HE, England..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden, Germany..
2019 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 99, no 4, article id 041301Article in journal (Refereed) Published
Abstract [en]

We propose a general principle for constructing higher-order topological (HOT) phases. We argue that if a D-dimensional first-order or regular topological phase involves m Hermitian matrices that anticommute with additional p - 1 mutually anticommuting matrices, it is conceivable to realize an nth-order HOT phase, where n = 1, ..., p, with appropriate combinations of discrete symmetry-breaking Wilsonian masses. An nth-order HOT phase accommodates zero modes on a surface with codimension n. We exemplify these scenarios for prototypical three-dimensional gapless systems, such as a nodal-loop semimetal possessing SU(2) spin-rotational symmetry, and Dirac semimetals, transforming under (pseudo)spin-1/2 or 1 representations. The former system permits an unprecedented realization of a fourth-order phase, without any surface zero modes. Our construction can be generalized to HOT insulators and superconductors in any dimension and symmetry class.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2019. Vol. 99, no 4, article id 041301
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-241313DOI: 10.1103/PhysRevB.99.041301ISI: 000455055900003Scopus ID: 2-s2.0-85059916986OAI: oai:DiVA.org:kth-241313DiVA, id: diva2:1282564
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QC 20190125

Available from: 2019-01-25 Created: 2019-01-25 Last updated: 2019-01-25Bibliographically approved

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Juricic, Vladimir

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