File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1007/s11467-019-0943-y
- Scopus: eid_2-s2.0-85076623682
- WOS: WOS:000517155800001
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Equivariant PT-symmetric real Chern insulators
Title | Equivariant PT-symmetric real Chern insulators |
---|---|
Authors | |
Keywords | Chern insulator topological insulator |
Issue Date | 2020 |
Citation | Frontiers of Physics, 2020, v. 15, n. 1, article no. 13603 How to Cite? |
Abstract | It was understood that Chern insulators cannot be realized in the presence of PT symmetry. In this paper, we reveal a new class of PT-symmetric Chern insulators, which has internal degrees of freedom forming real representations of a symmetry group with a complex endomorphism field. As a generalization to the conventional 2n-dimensional Chern insulators with integer n ≥ 1, these PT-symmetric Chern insulators have the n-th complex Chern number as their topological invariant, and have a ℤ classification given by the equivariant orthogonal K theory. Thus, in a fairly different sense, there exist ubiquitously Chern insulators with PT symmetry. By generalizing the Thouless charge pump argument, we find that, for a PT-symmetric Chern insulator with Chern number ν, there are equally many ν flavors of coexisting left- and right-handed chiral modes. Chiral modes with opposite chirality are complex conjugates to each other as complex representations of the internal symmetry group, but are not isomorphic. For the physical dimensionality d = 2, the PT-symmetric Chern insulators may be realized in artificial systems including photonic crystals and periodic mechanical systems. |
Persistent Identifier | http://hdl.handle.net/10722/335026 |
ISSN | 2023 Impact Factor: 6.5 2023 SCImago Journal Rankings: 1.031 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zhao, Y. X. | - |
dc.date.accessioned | 2023-10-24T08:28:33Z | - |
dc.date.available | 2023-10-24T08:28:33Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Frontiers of Physics, 2020, v. 15, n. 1, article no. 13603 | - |
dc.identifier.issn | 2095-0462 | - |
dc.identifier.uri | http://hdl.handle.net/10722/335026 | - |
dc.description.abstract | It was understood that Chern insulators cannot be realized in the presence of PT symmetry. In this paper, we reveal a new class of PT-symmetric Chern insulators, which has internal degrees of freedom forming real representations of a symmetry group with a complex endomorphism field. As a generalization to the conventional 2n-dimensional Chern insulators with integer n ≥ 1, these PT-symmetric Chern insulators have the n-th complex Chern number as their topological invariant, and have a ℤ classification given by the equivariant orthogonal K theory. Thus, in a fairly different sense, there exist ubiquitously Chern insulators with PT symmetry. By generalizing the Thouless charge pump argument, we find that, for a PT-symmetric Chern insulator with Chern number ν, there are equally many ν flavors of coexisting left- and right-handed chiral modes. Chiral modes with opposite chirality are complex conjugates to each other as complex representations of the internal symmetry group, but are not isomorphic. For the physical dimensionality d = 2, the PT-symmetric Chern insulators may be realized in artificial systems including photonic crystals and periodic mechanical systems. | - |
dc.language | eng | - |
dc.relation.ispartof | Frontiers of Physics | - |
dc.subject | Chern insulator | - |
dc.subject | topological insulator | - |
dc.title | Equivariant PT-symmetric real Chern insulators | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s11467-019-0943-y | - |
dc.identifier.scopus | eid_2-s2.0-85076623682 | - |
dc.identifier.volume | 15 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | article no. 13603 | - |
dc.identifier.epage | article no. 13603 | - |
dc.identifier.eissn | 2095-0470 | - |
dc.identifier.isi | WOS:000517155800001 | - |