Critical scaling of a two-orbital topological model with extended neighboring couplings
Abstract Extended-range models are the interesting systems, which has been widely used to understand the non-local properties of the fermions at quantum scale. We aim to study the interplay between criticality and extended range couplings under various symmetry constraints. Here, we consider a two o...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-02-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-024-54946-5 |
| _version_ | 1827327404037636096 |
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| author | Y. R. Kartik Ranjith R. Kumar Sujit Sarkar |
| author_facet | Y. R. Kartik Ranjith R. Kumar Sujit Sarkar |
| author_sort | Y. R. Kartik |
| collection | DOAJ |
| description | Abstract Extended-range models are the interesting systems, which has been widely used to understand the non-local properties of the fermions at quantum scale. We aim to study the interplay between criticality and extended range couplings under various symmetry constraints. Here, we consider a two orbital Bernevig–Hughes–Zhang model in one dimension with longer (finite neighbor) and long-range (infinite neighbor) couplings. We study the behavior of model using scaling laws and universality class for models with Hermitian, parity-time ( $$\mathscr{P}\mathscr{T}$$ P T ) symmetric and broken time-reversal symmetries. We observe the interesting results on multi-criticalities, where the universality class of critical exponent is different than the normal criticalities. Also, the results can be generalized by considering the interplay between criticalities and different symmetry classes of Hamiltonian. Also, with the introduction of extended-range of coupling, there occurs different criticalities, and we provide the analogy to characterize their universality classes. We also show the violation of Lorentz invariance at multi-criticalities and evaluation of short-range limit in long-range models as the highlights of this work. |
| first_indexed | 2024-03-07T15:00:45Z |
| format | Article |
| id | doaj.art-bb1693d0df7c4d9ca786987dc624ce66 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-07T15:00:45Z |
| publishDate | 2024-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-bb1693d0df7c4d9ca786987dc624ce662024-03-05T19:10:27ZengNature PortfolioScientific Reports2045-23222024-02-0114112010.1038/s41598-024-54946-5Critical scaling of a two-orbital topological model with extended neighboring couplingsY. R. Kartik0Ranjith R. Kumar1Sujit Sarkar2Theoretical Sciences Division, Poornaprajna Institute of Scientific ResearchTheoretical Sciences Division, Poornaprajna Institute of Scientific ResearchTheoretical Sciences Division, Poornaprajna Institute of Scientific ResearchAbstract Extended-range models are the interesting systems, which has been widely used to understand the non-local properties of the fermions at quantum scale. We aim to study the interplay between criticality and extended range couplings under various symmetry constraints. Here, we consider a two orbital Bernevig–Hughes–Zhang model in one dimension with longer (finite neighbor) and long-range (infinite neighbor) couplings. We study the behavior of model using scaling laws and universality class for models with Hermitian, parity-time ( $$\mathscr{P}\mathscr{T}$$ P T ) symmetric and broken time-reversal symmetries. We observe the interesting results on multi-criticalities, where the universality class of critical exponent is different than the normal criticalities. Also, the results can be generalized by considering the interplay between criticalities and different symmetry classes of Hamiltonian. Also, with the introduction of extended-range of coupling, there occurs different criticalities, and we provide the analogy to characterize their universality classes. We also show the violation of Lorentz invariance at multi-criticalities and evaluation of short-range limit in long-range models as the highlights of this work.https://doi.org/10.1038/s41598-024-54946-5 |
| spellingShingle | Y. R. Kartik Ranjith R. Kumar Sujit Sarkar Critical scaling of a two-orbital topological model with extended neighboring couplings Scientific Reports |
| title | Critical scaling of a two-orbital topological model with extended neighboring couplings |
| title_full | Critical scaling of a two-orbital topological model with extended neighboring couplings |
| title_fullStr | Critical scaling of a two-orbital topological model with extended neighboring couplings |
| title_full_unstemmed | Critical scaling of a two-orbital topological model with extended neighboring couplings |
| title_short | Critical scaling of a two-orbital topological model with extended neighboring couplings |
| title_sort | critical scaling of a two orbital topological model with extended neighboring couplings |
| url | https://doi.org/10.1038/s41598-024-54946-5 |
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