Geometry of flux attachment in anisotropic fractional quantum Hall states

Matteo Ippoliti, R. N. Bhatt, F. D.M. Haldane

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Fractional quantum Hall (FQH) states are known to possess an internal metric degree of freedom that allows them to minimize their energy when contrasting geometries are present in the problem (e.g., electron band mass and dielectric tensor). We investigate the internal metric of several incompressible FQH states by probing their response to band mass anisotropy using infinite DMRG simulations on a cylinder geometry. We test and apply a method to extract the internal metric of an FQH state from its guiding center structure factor. We find that the response to band mass anisotropy is approximately the same for states in the same Jain sequence, but changes substantially between different sequences. We provide a theoretical explanation of the observed behavior of primary states at filling ν=1/m in terms of a minimal microscopic model of flux attachment.

Original languageEnglish (US)
Article number085101
JournalPhysical Review B
Issue number8
StatePublished - Aug 1 2018

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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