Anisotropic quantum Hall states in the presence of interactions with fourfold rotational symmetry
| Autor: | Kumar, Prashant, Bhatt, R. N. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys. Rev. B 104, 035147 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.104.035147 |
| Popis: | We study the effects of anisotropic interactions in the quantum Hall effect in the presence of a fourfold discrete rotational ($C_4$) symmetry. Employing the density matrix renormalization group technique on an infinite cylinder geometry (iDMRG), we calculate the anisotropy response of the Laughlin state at $\nu=1/3$ and the composite-Fermi liquid (CFL) state at $\nu=1/2$. We find that the anisotropy transferred from the interaction potential to the $\nu=1/3$ state is stronger when compared to the complementary case of an anisotropic band. Further, the strength of anisotropy reduces as the interaction is made shorter ranged. Quite surprisingly, at $\nu=1/2$, we find that the deformation in the CF Fermi-surface changes sign as the interaction range is reduced. Our results imply that the short-distance and long-distance parts of the interaction potential have opposite effects on the CFL state in the presence of $C_4$-symmetric anisotropy. Comment: 7 pages, 7 figures |
| Databáze: | arXiv |
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