Network models of photonic Floquet topological insulators
A recently proposed class of photonic topological insulators is shown to map onto Chalker-Coddington-type networks, which were originally formulated to study disordered quantum Hall systems. Such network models are equivalent to the Floquet states of periodically driven lattices. We show that they c...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2014
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/104017 http://hdl.handle.net/10220/19489 |
| _version_ | 1826118420326776832 |
|---|---|
| author | Pasek, Michael Chong, Y. D. |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Pasek, Michael Chong, Y. D. |
| author_sort | Pasek, Michael |
| collection | NTU |
| description | A recently proposed class of photonic topological insulators is shown to map onto Chalker-Coddington-type networks, which were originally formulated to study disordered quantum Hall systems. Such network models are equivalent to the Floquet states of periodically driven lattices. We show that they can exhibit topologically protected edge states even if all bands have zero Chern number, which is a characteristic property of Floquet band structures. These edge states can be counted by an adiabatic pumping invariant based on the winding number of the coefficient of reflection from one edge of the network. |
| first_indexed | 2024-10-01T04:43:26Z |
| format | Journal Article |
| id | ntu-10356/104017 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:43:26Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | ntu-10356/1040172023-02-28T19:44:12Z Network models of photonic Floquet topological insulators Pasek, Michael Chong, Y. D. School of Physical and Mathematical Sciences DRNTU::Science::Physics A recently proposed class of photonic topological insulators is shown to map onto Chalker-Coddington-type networks, which were originally formulated to study disordered quantum Hall systems. Such network models are equivalent to the Floquet states of periodically driven lattices. We show that they can exhibit topologically protected edge states even if all bands have zero Chern number, which is a characteristic property of Floquet band structures. These edge states can be counted by an adiabatic pumping invariant based on the winding number of the coefficient of reflection from one edge of the network. Published version 2014-06-02T03:07:31Z 2019-12-06T21:24:40Z 2014-06-02T03:07:31Z 2019-12-06T21:24:40Z 2014 2014 Journal Article Pasek, M., & Chong, Y. D. (2014). Network models of photonic Floquet topological insulators. Physical Review B, 89(7). 1098-0121 https://hdl.handle.net/10356/104017 http://hdl.handle.net/10220/19489 10.1103/PhysRevB.89.075113 en Physical review B © 2014 American Physical Society. This paper was published in Physical Review B and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: http://dx.doi.org/10.1103/PhysRevB.89.075113. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. application/pdf |
| spellingShingle | DRNTU::Science::Physics Pasek, Michael Chong, Y. D. Network models of photonic Floquet topological insulators |
| title | Network models of photonic Floquet topological insulators |
| title_full | Network models of photonic Floquet topological insulators |
| title_fullStr | Network models of photonic Floquet topological insulators |
| title_full_unstemmed | Network models of photonic Floquet topological insulators |
| title_short | Network models of photonic Floquet topological insulators |
| title_sort | network models of photonic floquet topological insulators |
| topic | DRNTU::Science::Physics |
| url | https://hdl.handle.net/10356/104017 http://hdl.handle.net/10220/19489 |
| work_keys_str_mv | AT pasekmichael networkmodelsofphotonicfloquettopologicalinsulators AT chongyd networkmodelsofphotonicfloquettopologicalinsulators |