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Higher-order topological phases: A general principle of construction
Stockholms universitet, Nordiska institutet för teoretisk fysik (Nordita).ORCID-id: 0000-0002-3000-5393
Rekke forfattare: 32019 (engelsk)Inngår i: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 99, nr 4, artikkel-id 041301Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2019. Vol. 99, nr 4, artikkel-id 041301
Emneord [en]
Topological phases of matter, Dirac semimetal, Insulators, Node-line semimetals, Semimetals, Lattice models in condensed matter
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Identifikatorer
URN: urn:nbn:se:su:diva-165686DOI: 10.1103/PhysRevB.99.041301ISI: 000455055900003OAI: oai:DiVA.org:su-165686DiVA, id: diva2:1286019
Tilgjengelig fra: 2019-02-05 Laget: 2019-02-05 Sist oppdatert: 2019-12-09bibliografisk kontrollert

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Juričić, Vladimir
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