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Higher-order topological phases: A general principle of construction
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 32019 (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
2019. Vol. 99, no 4, article id 041301
Keywords [en]
Topological phases of matter, Dirac semimetal, Insulators, Node-line semimetals, Semimetals, Lattice models in condensed matter
National Category
Materials Engineering Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-165686DOI: 10.1103/PhysRevB.99.041301ISI: 000455055900003OAI: oai:DiVA.org:su-165686DiVA, id: diva2:1286019
Available from: 2019-02-05 Created: 2019-02-05 Last updated: 2019-02-05Bibliographically approved

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Juričić, Vladimir
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