Quantum Hall edge states under periodic driving: A Floquet induced chirality switch
We report on the fate of the quantum Hall effect in graphene under intense laser illumination. By using Floquet theory combined with both a low energy description and full tight-binding models, we clarify the selection rules, the quasienergy band structure, as well as their connection with the two-t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.013201 |
| _version_ | 1797211077491032064 |
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| author | A. Huamán L. E. F. Foa Torres C. A. Balseiro Gonzalo Usaj |
| author_facet | A. Huamán L. E. F. Foa Torres C. A. Balseiro Gonzalo Usaj |
| author_sort | A. Huamán |
| collection | DOAJ |
| description | We report on the fate of the quantum Hall effect in graphene under intense laser illumination. By using Floquet theory combined with both a low energy description and full tight-binding models, we clarify the selection rules, the quasienergy band structure, as well as their connection with the two-terminal and multiterminal conductance in a device setup as relevant for experiments. We show that the well-known dynamical gaps that appear in the Floquet spectrum at ±ℏΩ/2 lead to a switch-off of the quantum Hall edge transport for different edge terminations except for the armchair one, where two terms cancel out exactly. More interestingly, we show that near the Dirac point changing the laser polarization (circular right or circular left) controls the Hall conductance, by allowing to switch it on or off, or even by flipping its sign, thereby reversing the chirality of the edge states. This might lead to new avenues to fully control topologically protected transport. |
| first_indexed | 2024-04-24T10:20:45Z |
| format | Article |
| id | doaj.art-ab45eb8a753d40b5be76e081d38fe202 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:20:45Z |
| publishDate | 2021-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-ab45eb8a753d40b5be76e081d38fe2022024-04-12T17:07:53ZengAmerican Physical SocietyPhysical Review Research2643-15642021-03-013101320110.1103/PhysRevResearch.3.013201Quantum Hall edge states under periodic driving: A Floquet induced chirality switchA. HuamánL. E. F. Foa TorresC. A. BalseiroGonzalo UsajWe report on the fate of the quantum Hall effect in graphene under intense laser illumination. By using Floquet theory combined with both a low energy description and full tight-binding models, we clarify the selection rules, the quasienergy band structure, as well as their connection with the two-terminal and multiterminal conductance in a device setup as relevant for experiments. We show that the well-known dynamical gaps that appear in the Floquet spectrum at ±ℏΩ/2 lead to a switch-off of the quantum Hall edge transport for different edge terminations except for the armchair one, where two terms cancel out exactly. More interestingly, we show that near the Dirac point changing the laser polarization (circular right or circular left) controls the Hall conductance, by allowing to switch it on or off, or even by flipping its sign, thereby reversing the chirality of the edge states. This might lead to new avenues to fully control topologically protected transport.http://doi.org/10.1103/PhysRevResearch.3.013201 |
| spellingShingle | A. Huamán L. E. F. Foa Torres C. A. Balseiro Gonzalo Usaj Quantum Hall edge states under periodic driving: A Floquet induced chirality switch Physical Review Research |
| title | Quantum Hall edge states under periodic driving: A Floquet induced chirality switch |
| title_full | Quantum Hall edge states under periodic driving: A Floquet induced chirality switch |
| title_fullStr | Quantum Hall edge states under periodic driving: A Floquet induced chirality switch |
| title_full_unstemmed | Quantum Hall edge states under periodic driving: A Floquet induced chirality switch |
| title_short | Quantum Hall edge states under periodic driving: A Floquet induced chirality switch |
| title_sort | quantum hall edge states under periodic driving a floquet induced chirality switch |
| url | http://doi.org/10.1103/PhysRevResearch.3.013201 |
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