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Topological polarization, dual invariants, and surface flat bands in crystalline insulators (2021)


Nissinen, J., Heikkilä, T.T., & Volovik, G. E. (2021). Topological polarization, dual invariants, and surface flat bands in crystalline insulators. Physical Review B, 103(24), Article 245115. https://doi.org/10.1103/PhysRevB.103.245115


JYU-tekijät tai -toimittajat


Julkaisun tiedot

Julkaisun kaikki tekijät tai toimittajatNissinen, J.; Heikkilä, T. T.; Volovik, G. E.

Lehti tai sarjaPhysical Review B

ISSN2469-9950

eISSN2469-9969

Julkaisuvuosi2021

Ilmestymispäivä11.06.2021

Volyymi103

Lehden numero24

Artikkelinumero245115

KustantajaAmerican Physical Society (APS)

JulkaisumaaYhdysvallat (USA)

Julkaisun kielienglanti

DOIhttps://doi.org/10.1103/PhysRevB.103.245115

Julkaisun avoin saatavuusEi avoin

Julkaisukanavan avoin saatavuus

Julkaisu on rinnakkaistallennettu (JYX)https://jyx.jyu.fi/handle/123456789/77042

Rinnakkaistallenteen verkko-osoite (pre-print)https://arxiv.org/abs/2008.02158


Tiivistelmä

We describe a crystalline topological insulator (TI) phase of matter that exhibits spontaneous polarization in arbitrary dimensions. The bulk polarization response is constructed by coupling the system to geometric deformations of the underlying crystalline order, represented by local lattice vectors—the elasticity tetrads. This polarization results from the presence of (approximately) flat bands on the surface of such TIs. These flat bands are a consequence of the bulk-boundary correspondence of polarized topological media, and contrary to related nodal line semimetal phases also containing surface flat bands, they span the entire surface Brillouin zone. We also present an example Hamiltonian exhibiting a Lifshitz transition from the nodal line phase to the TI phase with polarization. In addition, we discuss a general classification of three-dimensional (3D) crystalline TI phases and invariants in terms of the elasticity tetrads. The phase with polarization naturally arises from this classification as a dual to the previously better-known 3D TI phase exhibiting quantum (spin) Hall effect. Besides polarization, another implication of the large surface flat band is the susceptibility to interaction effects such as superconductivity: The mean-field critical temperature is proportional to the size of the flat bands, and this type of system may hence exhibit superconductivity with a very high critical temperature.


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OKM-raportointiKyllä

Raportointivuosi2021

JUFO-taso2


Viimeisin päivitys 2024-11-03 klo 14:29