Anisotropic quantum Hall states in the presence of interactions with fourfold rotational symmetry

Prashant Kumar, R. N. Bhatt

Research output: Contribution to journalArticlepeer-review

Abstract

We study the effects of anisotropic interactions in the quantum Hall effect in the presence of a fourfold discrete rotational symmetry. Employing the density matrix renormalization group technique on an infinite cylinder geometry (iDMRG), we calculate the anisotropy response of the Laughlin state at and the composite-Fermi liquid (CFL) state at . We find that the anisotropy transferred from the interaction potential to the state is stronger when compared with the complementary case of an anisotropic band. Further, the strength of anisotropy reduces as the interaction is made shorter ranged. Quite surprisingly, at , 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 -symmetric anisotropy.

Original languageEnglish (US)
Article number035147
JournalPhysical Review B
Volume104
Issue number3
DOIs
StatePublished - Jul 15 2021

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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