Floquet topological phase transitions in 2D Su–Schrieffer–Heeger model: interplay between time reversal symmetry breaking and dimerization
We theoretically study the 2D Su-Schrieffer-Heeger model in the context of Floquet topological insulators (FTIs). FTIs are systems which undergo topological phase transitions, governed by Chern numbers, as a result of time reversal symmetry (TRS) breaking by a time periodic process. In our proposed...
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/adac84 |
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| author | Adrian Pena Bogdan Ostahie Cristian Radu |
| author_facet | Adrian Pena Bogdan Ostahie Cristian Radu |
| author_sort | Adrian Pena |
| collection | DOAJ |
| description | We theoretically study the 2D Su-Schrieffer-Heeger model in the context of Floquet topological insulators (FTIs). FTIs are systems which undergo topological phase transitions, governed by Chern numbers, as a result of time reversal symmetry (TRS) breaking by a time periodic process. In our proposed model, the condition of TRS breaking is achieved by circularly polarized light irradiation. We analytically show that TRS breaking is forbidden in the absence of second order neighbors hopping. In the absence of light irradiation, we identify a symmetry-protected degeneracy and prove the appearance of a flat band along a specific direction in the momentum space. Furthermore, we employ a novel method to show that the four unit cell atoms, in the absence of irradiation, can be interpreted as conserved spin states. With the breaking of TRS via light irradiation, these spin states are no longer conserved, leading to the emergence of chiral edge states. We also show how the interplay between the TRS breaking and dimerization leads to some complex topological phase transitions. The validity of our findings is substantiated through Chern numbers, spectral properties, localization of chiral edge states and simulations of quantum Hall transport. Our model is suitable not only for condensed matter (materials), but also for cold gases trapped in optical lattices or topolectrical circuits. |
| format | Article |
| id | doaj-art-729b7e182aea496196f0f7a226330037 |
| institution | Kabale University |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
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| series | New Journal of Physics |
| spelling | doaj-art-729b7e182aea496196f0f7a2263300372025-02-06T12:03:54ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127202301010.1088/1367-2630/adac84Floquet topological phase transitions in 2D Su–Schrieffer–Heeger model: interplay between time reversal symmetry breaking and dimerizationAdrian Pena0Bogdan Ostahie1Cristian Radu2National Institute of Materials Physics , Atomiştilor 405A, 077125 Măgurele, Ilfov, RomaniaNational Institute of Materials Physics , Atomiştilor 405A, 077125 Măgurele, Ilfov, RomaniaNational Institute of Materials Physics , Atomiştilor 405A, 077125 Măgurele, Ilfov, RomaniaWe theoretically study the 2D Su-Schrieffer-Heeger model in the context of Floquet topological insulators (FTIs). FTIs are systems which undergo topological phase transitions, governed by Chern numbers, as a result of time reversal symmetry (TRS) breaking by a time periodic process. In our proposed model, the condition of TRS breaking is achieved by circularly polarized light irradiation. We analytically show that TRS breaking is forbidden in the absence of second order neighbors hopping. In the absence of light irradiation, we identify a symmetry-protected degeneracy and prove the appearance of a flat band along a specific direction in the momentum space. Furthermore, we employ a novel method to show that the four unit cell atoms, in the absence of irradiation, can be interpreted as conserved spin states. With the breaking of TRS via light irradiation, these spin states are no longer conserved, leading to the emergence of chiral edge states. We also show how the interplay between the TRS breaking and dimerization leads to some complex topological phase transitions. The validity of our findings is substantiated through Chern numbers, spectral properties, localization of chiral edge states and simulations of quantum Hall transport. Our model is suitable not only for condensed matter (materials), but also for cold gases trapped in optical lattices or topolectrical circuits.https://doi.org/10.1088/1367-2630/adac84Floquet topological insulatorsSu–Schrieffer–Heeger modeltime reversal symmetry breakingLandauer–Büttiker formalismcharge transportChiral edge states |
| spellingShingle | Adrian Pena Bogdan Ostahie Cristian Radu Floquet topological phase transitions in 2D Su–Schrieffer–Heeger model: interplay between time reversal symmetry breaking and dimerization New Journal of Physics Floquet topological insulators Su–Schrieffer–Heeger model time reversal symmetry breaking Landauer–Büttiker formalism charge transport Chiral edge states |
| title | Floquet topological phase transitions in 2D Su–Schrieffer–Heeger model: interplay between time reversal symmetry breaking and dimerization |
| title_full | Floquet topological phase transitions in 2D Su–Schrieffer–Heeger model: interplay between time reversal symmetry breaking and dimerization |
| title_fullStr | Floquet topological phase transitions in 2D Su–Schrieffer–Heeger model: interplay between time reversal symmetry breaking and dimerization |
| title_full_unstemmed | Floquet topological phase transitions in 2D Su–Schrieffer–Heeger model: interplay between time reversal symmetry breaking and dimerization |
| title_short | Floquet topological phase transitions in 2D Su–Schrieffer–Heeger model: interplay between time reversal symmetry breaking and dimerization |
| title_sort | floquet topological phase transitions in 2d su schrieffer heeger model interplay between time reversal symmetry breaking and dimerization |
| topic | Floquet topological insulators Su–Schrieffer–Heeger model time reversal symmetry breaking Landauer–Büttiker formalism charge transport Chiral edge states |
| url | https://doi.org/10.1088/1367-2630/adac84 |
| work_keys_str_mv | AT adrianpena floquettopologicalphasetransitionsin2dsuschriefferheegermodelinterplaybetweentimereversalsymmetrybreakinganddimerization AT bogdanostahie floquettopologicalphasetransitionsin2dsuschriefferheegermodelinterplaybetweentimereversalsymmetrybreakinganddimerization AT cristianradu floquettopologicalphasetransitionsin2dsuschriefferheegermodelinterplaybetweentimereversalsymmetrybreakinganddimerization |